ABSTRACTS


Historia Mathematica 29 (2002), 210–230
doi:10.1006/hmat.2002.2350, available online at http://www.idealibrary.com on

ABSTRACTS

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The initials in parenthesesat the end of an entryindicate the abstractor. In this issuethere are abstracts

by Francine Abeles (Kean, NJ), Joe Albree (Montgomery, AL), Ivor Grattan-Guinness (Middlesex,
UK), Cal Jongsma (Sioux Center, IA), Karen Hunger Parshall (Charlottesville, VA), Gary Stoudt
(Indiana, PA), Kevin VanderMeulen (Hamilton, Canada), David Zitarelli (Philadelphia, PA), and Glen
Van Brummelen.

Aaboe, Asger. A New Mathematical Text from the Astronomical Archive in Babylon: BM 36849, in #29.2.164,
pp. 179–186. (GVB) #29.2.1

Abraham, George. See #29.2.15.

Abrusci, V. Michele. Hilbert and the Foundations of Mathematics: The Axiomatic Method [in Italian], Matema-
tiche (Catania) 55 (2000) suppl. 1, 127–142. Survey of some of Hilbert’s writings on axiomatic theories. See the
review by Ivor Grattan-Guinness in Mathematical Reviews 2001j:01034. (CJ) #29.2.2

Accardi, Luigi. Quantum Probability: An Historical Survey, in Gregory Budzban, Philip Feinsilver and Arunava
Mukherjea, eds., Probability on Algebraic Structures, Providence, RI: American Mathematical Society, 2000,
pp. 145–159. A nontechnical survey of developments in quantum probability over the last three decades, concen-
trating on the contributions of the author and his collaborators. See the review by Kalyanapuram R. Parthasarathy
in Mathematical Reviews 2001k:81123. (GVB) #29.2.3

Akhmedov, A. Astronomy, Astrology, Observatories and Calendars, in C. E. Bosworth and M. S. Asimov, eds.,
History of Civilizations of Central Asia, Paris: UNESCO, 2000, vol. IV, pp. 195–204. An overview of Islamic
astronomy and astrology developed in Central Asia, especially the region of Khwarizm. See the review by Emilia
Calvo in Mathematical Reviews 2001m:01011. (GSS) #29.2.4

Akritas, Alkiviadis G. See #29.2.94.

Alberts, Gerard. Maintaining Freedom of Choice [in Dutch], Nieuw Archief voor Wiskunde (5) 2 (1) (2001), 36–
41. The interaction between the mathematical and political careers of Guus Zoutendijk is discussed.
(GVB) #29.2.5

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HMAT 29 ABSTRACTS 211

Alvarez Jimenez, Carlos. Mathematical Analysis and Analytical Science, in Michael Otte and Marco Panza,
eds., AnalysisandSynthesis inMathematics, Dordrecht: Kluwer, 1997, pp. 103–145. A discussion of the transition
from geometric to analytic methods in mathematics and the physical sciences beginning with Euler’s treatment of
functions and series, proceeding to the mechanics of Lagrange and Laplace and the theory of heat f ow of Fourier,
and concluding with the fundamental ideas of continuity and convergence of Bolzano and Cauchy. See the review
by F. Smithies in Mathematical Reviews 2001k:01029. (JA) #29.2.6

Amer, Mahomed. See #29.2.64.

Amunátegui, Godofredo Iommi. See #29.2.127.

Anile,AngeloMarcello. CurrentProblemsinMathematicalPhysics:TheOriginalContributionofDavidHilbert,
Matematiche (Catania) 55 (2000), suppl. 1, 59–74. Hilbert’s work in the kinetic theory of gases has proved to be
crucial in the development of research in mathematical physics. (GVB) #29.2.7

Arnol’d, Vladimir. Dynamical Systems, in Jean-Paul Pier, ed., Development of Mathematics 1950–2000, Basel:
Birkhäuser, 2000, pp. 33–61. An overview of the development of the theory of dynamical systems in the 20th
century based on examples illustrating how the theory connects with other topics in applied mathematics. Includes
the author’s interesting remarks and commentary. See the review by Coraci P. Malta in Mathematical Reviews
2001m:37001. (GSS) #29.2.8

Artmann, Benno. Euclid’s and Hilbert’s Foundations of Geometry, Matematiche (Catania) 55 (2000), suppl 1,
143–160. This article attempts to explain Hilbert’s line from his 1898/1899 lecture notes “. . . we will be led. . . to
appreciatetheacuteinsightofthisancientmathematician . . . .”SeethereviewbyJamesJ.TattersallinMathematical
Reviews 2001m:01027. (GSS) #29.2.9

Artmann, Benno. See also #29.2.173.

Bain, Jonathan. See #29.2.49.

Baldwin, John. Finite and Inf nite Model Theory—A Historical Perspective, Logic Journal of the IGPL 8 (5)
(2000), 605–628. Discusses the historical development of contemporary model theory. See the review by
G. Cherlin in Mathematical Reviews 2001j:03064. (CJ) #29.2.10

Barenblatt, G. I. George Keith Batchelor (1920–2000) and David George Crighton (1942–2000) Applied Mathe-
maticians,NoticesoftheAmericanMathematicalSociety 48 (2001),800–806.Anaccountoftheworkoftwoformer
chairs of DAMTP (the Department of Applied Mathematics and Theoretical Physics of Cambridge University),
emphasizing Batchelor’s role in combining experiments with his theoretical study of turbulence. (KVM) #29.2.11

Beeley, Philip A. See #29.2.181.

Belavkin, V. P. Quantum Probabilities and Paradoxes of the Quantum Century, Infinit Dimensional Ana-
lysis, Quantum Probability and Related Topics 3 (4) (2000), 577–610. Discusses the historical development
of quantum theory from its early beginnings to recent work. See the review by Andreas Boukas in Mathematical
Reviews 2001j:81002. (CJ) #29.2.12

Bellosta, Hélène. Ibrāhı̄m ibn Sinān: Apollonius Arabicus [in French], in Ahmad Hasnawi, Abdelali Elamrani-
Jamal, and Maroun Aouad, eds., Perspectives Arabes et Médiévales sur la Tradition Scientifiqu et Philosophique
Grecque, Leuven: Peeters Éditions/Paris: Institut du Monde Arabe, 1997, pp. 31–48. Discusses passages by 10th
century Arabic geometer Ibrāhı̄m ibn Sinān relating to Apollonius’s lost works. See the review by J. Lennart
Berggren in Mathematical Reviews 2001j:01010. (CJ) #29.2.13

Berg, Jan. See #29.2.21.

Berge, Claude. La Théorie des Graphes, in Jean-Paul Pier, ed., Development of Mathematics 1950–2000, Basel:
Birkhäuser, 2000, pp. 135–147. A survey of important developments in graph theory during the second half of the
20th century. See the review by Robin J. Wilson in Mathematical Reviews 2001k:05054. (JA) #29.2.14

Berggren, J. Lennart; and Jones, Alexander. Ptolemy’s Geography. An Annotated Translation of the Theoretical
Chapters, Princeton, NJ: Princeton Univ. Press, 2000, xiv+192 pp., $39.50. By the author of the Almagest, the



212 ABSTRACTS HMAT 29

Geography was “the best reference work on the subject” for 15 centuries. See the review by George Abraham in
Mathematical Reviews 2001k:01006. (JA) #29.2.15

Berggren, J. Lennart. See also #29.2.13, #29.2.137, and #29.2.138.

Berlekamp, Elwyn. The Performance of Block Codes, Notices of the American Mathematical Society 49 (2002),
17–22. An overview of the impact of the work of Claude Shannon regarding block codes. (KVM) #29.2.16

Berlekamp, Elwyn. See also #29.2.69.

Berlinski, David. Newton’s Gift: How Sir Isaac Newton Unlocked the System of the World, New York: Free
Press, 2000, xviii+217 pp., $24.00. Based on “a limited choice of secondary sources,” this popular treatment of
Newton’s mathematics and natural philosophy unfortunately contains a number of inaccuracies. See the review
by Massimo Galuzzi in Mathematical Reviews 2001k:01053. (JA) #29.2.17

Binder, Christa. Die Zeit von Heinrich Schreyber in Wien [The Era of Heinrich Schreyber in Vienna], in
#29.2.189, pp. 117–127. (GVB) #29.2.18

Blay, Michel; and Nicolaidis, Efthymios, eds. L’Europe des Sciences: Constitution d’un Espace Scientif que,
Paris: Éditions du Seuil, 2001, 437 pp. This collection of essays by 15 specialists treats not the development
of mathematics per se but rather the more general development of science in Europe. The f rst half of the book
covers the Greek origins of European science, through the Middle Ages and Scientif c Revolution, to the period
of professionalization in the 19th century. The second half has separate chapters treating the institutionalization
of the sciences in Russia, the Iberian peninsula, Scandinavia, the Balkans, and Hungary. (KHP) #29.2.19

Boas, Harold P. See #29.2.48.

Bodanis, David. E = mc2: A Biography of the World’s Most Famous Equation, New York: Walker and Co.,
2000, x+337 pp., $25. Contains a popular history of special relativity, at an elementary level. (CJ) #29.2.20

Bolzano, Bernard. Bernard Bolzano—Gesamtausgabe. Reihe I. Schriften. Band 14. Teil 3, edited by Jan Berg,
Stuttgart: Friedrich Frommann Verlag Günther Holzboog, 2000, 307 pp. Another volume in Bolzano’s collected
works dealing with Bolzano’s theory of knowledge including logic and how the sciences should be presented to
students. Of interest to those with a pedagogical concern for Bolzano’s work. See the review by Joseph W. Dauben
in Mathematical Reviews 2001m:01071. (GSS) #29.2.21

Bolzano, Bernard. BernardBolzano—Gesamtausgabe.Reihe II.NachlassA.NachgelasseneSchriften.Band10.
Teil 1. Grössenlehre IV, edited by Bob van Rootselaar, Stuttgart: Friedrich Frommann Verlag Günther Holzboog,
2000, 197 pp. Another volume in Bolzano’s collected works dealing with Bolzano’s theory of functions, including
continuous and differentiable functions, the intermediate value theorem, uniform continuity, and applications of
the “Bolzano–Weierstrass theorem.” Also includes material on series. See the review by Joseph W. Dauben in
Mathematical Reviews 2001m:01070. (GSS) #29.2.22

Bonelli, Federico; and Ghione, Franco. The Divine Proportion of Luca Pacioli and his CD-ROM, in #29.2.52,
pp. 54–59. (GVB) #29.2.23

Booth, A. D. See #29.2.88 and #29.2.174.

Borzacchini, Luigi. The Sophist: Genesis of Formal Thought in Greek Philosophy and Mathematics, in #29.2.52,
pp. 87–105. (GVB) #29.2.24

Boukas, Andreas. See #29.2.12.

Bowen, Alan C. See #29.2.68.

Brack-Bernsen,Lis. Goal-YearTablets:LunarDataandPredictions,in#29.2.164,pp.149–177.(GVB) #29.2.25

Britton, John P. Lunar Anomaly in Babylonian Astronomy, in #29.2.164, pp. 187–254. (GVB) #29.2.26



HMAT 29 ABSTRACTS 213

Brown, E. H.; Cohen, F. R.; Gehring, F. W.; Miller, H. R.; and Taylor, B. A. Franklin P. Peterson (1930–2000),
Notices of the American Mathematical Society 48 (2001), 1161–1168. An account of the life and work of an
algebraic topologist and former AMS treasurer. (KVM) #29.2.27

Buchwald, Jed Z. A Potential Disagreement between Helmholtz and Hertz,Archive forHistoryofExactSciences
55 (2001), 365–393. What might have appeared as a conf ict in electromagnetic f eld theory between Helmholtz
and his student Hertz in the late 1870s is resolved mathematically. Contains extensive references. See the review
by Llewelyn G. Chambers in Mathematical Reviews 2001k:01032. (JA) #29.2.28

Buckingham, Paul. Mathematics as a Tool for Economic and Cultural Developments: The Philosophical Views
of the Leaders of the Moscow Mathematical Society, 1867–1905, Michigan Academician 31 (1999), 33–44. This
paper summarizes the careers and philosophical opinions of N. V. Bugaev (1837–1903) and P. A. Nekrasov (1858–
1924) as they promoted mathematics as an agency for Russian economic development. See the review by Roman
Murawski in Mathematical Reviews 2001k:01033. (JA) #29.2.29

Bulirsch, Roland. Constantin Carathéodory, Leben und Werk, Bayerische Akademie der Wissenschaften.
Mathematisch-Naturwissenschaftlische Klasse. Sitzungsberichte 1998, 27–59. A biographical study that traces
the mathematical work of Carathéodory (1873–1950). Photos and copies of some of his correspondence and
manuscripts are included. See the review by Bernhard Neumann in Mathematical Reviews 2001k:01054.
(JA) #29.2.30

Busard, H. L. L. Über Zwei Algorismus-Schriften aus dem 13. Jahrhundert [On Two Algorism Manuscripts
from the 13th Century], in Menso Folkerts and Richard Lorch, eds., Sic Itur Ad Astra: Studien zur Geschichte der
MathematikunNaturwissenschaften.Festschrift fürdenArabistenPaulKunitzschzum70Geburtstag, Wiesbaden:
Harrassowitz Verlag, 2000, pp. 91–137. Critical editions of two 13th century algorism manuscripts ascribed to
Jordanus Nemorarius by Gustaf Enestrom. See the review by Warren Van Egmond in Mathematical Reviews
2001m:01015. (GSS) #29.2.31

Bushell, P. J.; and Edmunds, D. E. Twenty-Five Years Ago: The Durham Symposium on Partial Differential
Equations, Noticesof theAmericanMathematicalSociety 48 (2001), 1338–1339. A photograph of the participants
in the symposium. (KVM) #29.2.32

Butcher, J. C. Numerical Methods for Ordinary Differential Equations in the 20th Century, Journal of Com-
putational and Applied Mathematics 125 (1–2) (2000), 1–29. Begins with late 19th-century contributions by
F. Bashforth, J. C. Adams and C. Runge and covers the modern theory of linear multistep methods, Runge–Kutta
methods, stiff problems, order stars, nonlinear stability, and early software developments. See the review by
W. C. Rheinboldt in Mathematical Reviews 2001k:65004. (GVB) #29.2.33

Butzer, Paul L.; Higgins, J. R.; and Stens, R. L. Sampling Theory of Signal Analysis, in Jean-Paul Pier, ed.,
DevelopmentofMathematics1950–2000,Basel:Birkhäuser,2000,pp.193–234.AsurveyarticleontheWhittaker–
Kotelnikov–Shannon sampling theorem written by signif cant contributors to the f eld. The survey includes the
historyofthedevelopmentofsamplingtheoryandgeneralizationsoftheWhittaker–Kotelnikov–Shannonsampling
theorem. See the review by Ahmed I. Zayed in Mathematical Reviews 2001m:94026. (GSS) #29.2.34

Calvo, Emilia. See #29.2.4 and #29.2.106.

Catanese, Fabrizio. Hilbert and the Theory of Invariants [in Italian], Matematiche (Catania) 55 (2000), suppl. 1,
25–46. A nice introduction to the theory of invariants and the contributions of Hilbert. Includes signif cance of
these results to modern research and an extensive bibliography. See the review by Doru Stefanescu inMathematical
Reviews 2001m:01028. (GSS) #29.2.35

Catto, Isabelle. See #29.2.156.

Chabas, José. See #29.2.131.

Chambers, Llewelyn G. See #29.2.28.

Charbonneau, Louis. See #29.2.193.

Cherlin, G. See #29.2.10.



214 ABSTRACTS HMAT 29

Chihara, Charles. Frege’s and Bolzano’s Rationalist Conceptions of Arithmetic, Revue d’Histoire des Sciences
52 (3–4) (1999), 343–361. Compares Frege’s and Bolzano’s rationalist conceptions of arithmetic; concludes with
an analysis of their views in the light of Gödel’s f rst incompleteness theorem. (GVB) #29.2.36

Christianides, Giannes. See #29.2.180.

Christianidis, Jean. The Use of Letters to Represent Numbers and the Algebraic Symbolism [in Greek], Neusis
5 (1996), 83–90. Argues that the use of letters to represent numbers in Aristotle, Euclid, and their medieval
commentators does not constitute a genuine algebraic symbolism. Inspired by an article by Kurt Vogel, reprinted
in the same issue (#29.2.183). (GVB) #29.2.37

Coello Coello, Carlos A. A Brief History of XXth Century Computing: The Great Contributions of Mathe-
maticians [in Spanish], Miscelánea Matématica 31 (2000), 29–60. A survey of the role of mathematicians in the
development of computing, including the works of Shannon, Post, von Neumann, Kleene, Cook, and Levin. See
the review by Manuel Ojeda-Aciego in Mathematical Reviews 2001m:01035. (GSS) #29.2.38

Cohen, Ezechiel G. D. Boltzmann and Statistical Mechanics, in Boltzmann’s Legacy 150 Years After his Birth,
Rome: Accademia Nazionale dei Lincei, 1997, pp. 9–23. Historical and philosophical discussion of Boltzmann’s
two views of his work on the second law of thermodynamics. See the review by M. Lawrence Glasser in Mathe-
matical Reviews 2001j:82002. (CJ) #29.2.39

Cohen, F. R. See #29.2.27.

Console, Sergio. See #29.2.47.

Cooke, Roger L. See #29.2.129, #29.2.144, and #29.2.182.

Corrales-Rodrigáñez, Capi. See #29.2.43.

Corry, Leo. See #29.2.110.

Cover, T. M. See #29.2.69.

D’Ambrosio, Ubiratan. See #29.2.170.

Da Silva, Jairo José. Husserl’s Two Notions of Completeness: Husserl and Hilbert on Completeness and Imag-
inary Elements in Mathematics, Synthese 125 (2000), 417–438. In 1901, when Husserl tried to account for
imaginaries in mathematics, he introduced, “independently of Hilbert, two notions of ‘def niteness”’ that were
closely related to Hilbert’s treatment of completeness. See the review by Victor V. Pambuccian in Mathematical
Reviews 2001k:01049. (JA) #29.2.40

Dahan Dalmedico, Amy. Pur Versus Appliqué? Un Point de Vue d’Historien sur une “Guerre d’Images”, Gazette
des Mathématiciens 80 (1999), 31–46. Since the 1950s, pure and applied mathematics have waged a “war of
images.” Institutional, sociological, and epistemological aspects of this conf ict are discussed. See the review by
Pierre Kerszberg in Mathematical Reviews 2001k:00002. (JA) #29.2.41

Dale, A. I. See #29.2.85.

Danilenko, A. I. See #29.2.162.

Dauben, Joseph W. See #29.2.21 and #29.2.22.

Dawson, John W., Jr. See #29.2.168.

De Groot, J. Aspects of Aristotelian Statics in Galileo’s Dynamics, Studies in History and Philosophy of Science
31A (4) (2000), 645–664. Examines the geometrical arguments in Galileo’s work on dynamics to unearth the
inf uence of the Aristotelian mechanical problems. (GVB) #29.2.42

De la Peña, José Antonio. Algebra in the XXth Century [in Spanish], Miscelánea Matématica 32 (2000), 51–67.
A description of the directions of research in algebra during the 20th century, with emphasis on group theory
and the inf uence of algebraic developments in school curricula. See the review by Capi Corrales-Rodrigáñez in
Mathematical Reviews 2001m:01036. (GSS) #29.2.43



HMAT 29 ABSTRACTS 215

De Leeuw, K. Johann Friedrich Euler (1741–1800): Mathematician and Cryptologist at the Court of the Dutch
Stadholder William V, Cryptologia 25 (2001), 256–274. This Euler was a nephew of Leonhard and a notable
practitioner of this combinatoric black art. The author includes pages from Johann’s codebook in his account.
(IGG) #29.2.44

De Rijk, L. M. See #29.2.181.

Demidov, S. S. and Levshin, B. V., eds. The Case of Academician Nikoli Nikolaevich Luzin [in Russian], St.
Petersburg: Russkii Khristianskii Gumanitarnyi Institut, 1999, 312 pp. This is a thorough account of the “Luzin
affair,” from its background in Russian mathematics immediately following World War I and in Bolshevik and
Soviet politics to its culmination in June and July 1936, when Nikoli Luzin was censored by the Steklov Institute
and lost his university position. Includes copies of several relevant primary documents and letters. See the review
by F. Smithies in Mathematical Reviews 2001k:01066. (JA) #29.2.45

Densmore, Dana. See #29.2.96.

Dieudonné, Jean. L’École Mathématique Française du XXe Siècle, in Jean-Paul Pier, ed., Development of Math-
ematics 1950–2000, Basel: Birkhäuser, 2000, pp. 329–357. A summary, arranged by topics, of the major contribu-
tions of French mathematicians during the second half of the 20th century. Photos of some French mathematicians
are included. See the review by Doru Stefanescu in Mathematical Reviews 2001k:01043. (JA) #29.2.46

Do Carmo, Manfredo Perdigão. Research on Differential Geometry in Brazil, in J. L. M. Barbosa and
K. Tenenblat, eds., X Escola de Geometria Diferencial [10th School on Differential Geometry] [in Portuguese],
pp. 1–28. A survey on research in differential geometry (Riemannian, conformal, and projective geometry) de-
veloped in Brazil from 1800 to 1983, written by an eyewitness to the past 50 years of the development. See the
review by Sergio Console in Mathematical Reviews 2001m:53004. (GSS) #29.2.47

Dolbeault, Pierre. Variétés et Espaces Analytiques Complexes, in Jean-Paul Pier, ed., DevelopmentofMathema-
tics 1950–2000, Basel: Birkhäuser, 2000, pp. 359–436. Historical survey of the f eld of several complex variables
including photographs of the principal players and an extensive bibliography. See the review by Harold P. Boas in
Mathematical Reviews 2001m:32002. (GSS) #29.2.48

Donahue, William H. See #29.2.96.

Earman, John. Lambda: The Constant That Refuses to Die, Archive for History of Exact Sciences 55 (2001),
189–220. This “critical history” of the constant � begins with its place in 19th century Newtonian cosmology.
Controversies over whether or not � had roles to play in general relativity are discussed, and this paper “ends
with an overview of the resurgence of interest in �.” See the review by Jonathan Bain in Mathematical Reviews
2001k:83001. (JA) #29.2.49

Edmunds, D. E. See #29.2.32.

Eichler, Birgit. Sprachwissenschaftliche Anmerkungen zu Adam Ries und Heinrich Grammateus [Linguistic
Comments on Adam Ries and Heinrich Grammateus], in #29.2.189, pp. 131–141. (GVB) #29.2.50

Elworthy, K. David. Geometric Aspects of Stochastic Analysis, in Jean-Paul Pier, ed., Development of Math-
ematics 1950–2000, Basel: Birkhäuser, 2000, pp. 437–484. A survey of the interaction between geometry and
stochastic analysis. See the review by Shi Zan Fang in Mathematical Reviews 2001k:60110. (GVB) #29.2.51

Emmer, Michele, ed. Mathematics and Culture 2 [in Italian], Milan: Springer-Verlag Italia, 1999, iv+119 pp. A
collection of papers from a conference held in Venice in April 1998. Papers with historical content are listed here
as #29.2.23, #29.2.24, #29.2.121, and #29.2.172. (GVB) #29.2.52

Epple, Moritz. Styles of Argumentation in Late 19th Century Geometry and the Structure of Mathematical
Modernity, in Michael Otte and Marco Panza, eds., Analysis and Synthesis in Mathematics, Dordrecht: Kluwer,
1997, pp. 177–198. Uses a distinction between abstract and concrete mathematical argumentation to judge the
modernity of given pieces of mathematical research. See the review by Bernard Rouxel in Mathematical Reviews
2001j:01029. (CJ) #29.2.53

Faddeev, L. D. Modern Mathematical Physics: What It Should Be, in A. Fokas, A. Grigoryan, T. Kibble and
B. Zegarlinski, eds., Mathematical Physics 2000, London: Imperial College Press, 2000, pp. 1–8. Discusses how



216 ABSTRACTS HMAT 29

mathematical physics was viewed in the early 20th century by various mathematicians, and explains the author’s
own views on the goals of the f eld. See the review by George K. Savvidy in Mathematical Reviews 2001j:81001.
(CJ) #29.2.54

Fang, Shi Zan. See #29.2.51.

Farwig, Reinhard. Die (Un-)Berechenbare Angst des Mathematikers vor dem Fliegen [The Mathematician’s
(Un-)Predictable Fear of Flying], Mathematische Semesterberichte 46 (2) (1999), 155–185. Describes the history,
physics, and mathematics of lift, of potential, and of viscous f ows. Covers work of Euler, J. and D. Bernoulli, and
d’Alembert and concludes with the Navier–Stokes equations. (GVB) #29.2.55

Fauvel, John. Doris Mary Cannell 1913–2000, BSHM Newsletter 42 (2000), 11–14. Obituary of Mary Cannell,
whose rediscovery and celebration of the work of George Green did not start until her retirement in 1978.
(DEZ) #29.2.56

Fauvel, John. See also #29.2.73.

Fernandez Garcia, Francisco R.; Puerto Albandoz, Justo; Jiminez Alcon, Francisco; and Muñoz Prieto, Luis C.
Gauge Functions and Portolan Charts, in Blas Pelegrı́n, ed., Selected Papers of EWGLA10, Athens: Constantine
Porphyrogenetus International Association, 2000, pp. 67–81. Shows how harbor-f nding (Portolan) charts of the
13th to the 17th centuries are related to gauge functions used in location theory. (CJ) #29.2.57

Floyd, Juliet; and Putnam, Hilary. A Note on Wittgenstein’s “Notorious Paragraph” about the Gödel Theorem,
JournalofPhilosophy 97 (11) (2000), 624–632. A look at Wittgenstein’s comments on the incompleteness theorem
with an interpretation that is consistent with what Gödel proved. See the review by John W. Dawson, Jr. in
Mathematical Reviews 2001m:03003. (GSS) #29.2.58

Folkerts, Menso. Zur Bedeutung der Mathematik an der Universität Erfurt im 15. und Fruhen 16. Jahrhundert
[On the Importance of Mathematics at the University of Erfurt in the 15th and Early 16th century], in #29.2.189,
pp. 13–22. (GVB) #29.2.59

Folkerts, Menso. Frühe Westliche Benennungen der Indisch-Arabischen Ziffern und ihr Vorkommen [Early
Western Names for Indian–Arabic Numerals and Their Occurrences], in Menso Folkerts and Richard Lorch, eds.,
Sic Itur Ad Astra: Studien zur Geschichte der Mathematik un Naturwissenschaften. Festschrift für den Arabisten
Paul Kunitzsch zum 70 Geburtstag, Wiesbaden: Harrassowitz Verlag, 2000, pp. 216–233. The author establishes
that the earliest appearance of these names is found in illustrations attached to abacus texts of the 11th century.
The names were then used in the works of Gerland of Besançon and Rudolph of Laon. See the review by Warren
Van Egmond in Mathematical Reviews 2001m:01017. (GSS) #29.2.60

Forcada, Miquel. The Kitāb al-Anwā’ of cArı̄b b. Sacı̄d and the Calendar of Cordova, in Menso Folkerts and
RichardLorch,eds.,SicIturAdAstra:StudienzurGeschichtederMathematikundNaturwissenschaften.Festschrift
für den Arabisten Paul Kunitzsch zum 70 Geburtstag, Wiesbaden: Harrassowitz Verlag, 2000, pp. 234–251. Dis-
cusses various 9th through 11th century Arabic almanacs. See the review by Jan P. Hogendijk in Mathematical
Reviews 2001j:01012. (CJ) #29.2.61

Fouvry, Etienne. Cinquante Ans de Théorie Analytique des Nombres. Un Point de Vue Parmi d’Autres: Celui
des Méthodes de Crible, in Jean-Paul Pier, ed., DevelopmentofMathematics1950–2000, Basel: Birkhäuser, 2000,
pp. 485–514. A survey of the development of sieve methods and their applications in the second half of the 20th
century. See the review by G. Greaves in Mathematical Reviews 2001k:11181. (GVB) #29.2.62

Fraser, Craig G. The Background to and Early Emergence of Euler’s Analysis, in Michael Otte and Marco
Panza, eds., Analysis and Synthesis in Mathematics, Dordrecht: Kluwer, 1997, pp. 47–78. The practice of analysis
inmathematicsistracedfromViètethroughmuch17th-centuryworkandthenuptoandincludingEuler’sMethodus
inveniendi (1744). See the review by Karl-Heinz Schlote in Mathematical Reviews 2001k:01030. (JA) #29.2.63

Gallager, R. G. See #29.2.69.

Galuzzi, Massimo. See #29.2.17 and #29.2.115.

Garro, Ibrahim. Decidability in Mathematics after al-Samaw’al al–Maghribı̄ [in Arabic], Journal for the His-
tory of Arabic Science 11 (1995/97), 202–195. “The author describes some of the metamathematical arguments



HMAT 29 ABSTRACTS 217

of al-Samaw’al al-Maghribı̄’s book al-Bāhir f al-Jabr [12th century].” See the review by Mohamed Amer in
Mathematical Reviews 2001k:01013. (JA) #29.2.64

Gavroglu, Kostas. See #29.2.156.

Gehring, F. W. See #29.2.27.

Ghione, Franco. See #29.2.23.

Gingerich, Owen. See #29.2.92.

Girard, Jean-Yves. Du Pourquoi an Comment: La Théorie de la Démonstration de 1950 à Nos Jours, in Jean-Paul
Pier, ed., Development of Mathematics 1950–2000, Basel: Birkhäuser, 2000, pp. 515–545. Beginning with some
background remarks on work of Hilbert, Gödel, and Gentzen, the main part of this paper focuses on “achievements
and contributions to proof theory of K. Schutte and his school in Munich and of G. Kreisel.” See the review by
Roman Murawski in Mathematical Reviews 2001k:03125. (JA) #29.2.65

Gispert, Hélène. Réseaux Mathématiques en France dans les Débuts de la Troisième République, Archive for
History of Exact Sciences 49 (1999), 122–149. The Societé Mathématique de France (SMF) and the Association
Française pour l’Avancement des Sciences (AFAS) were both founded in 1872. This paper describes how, over the
last decades of the 19th century, the SMF and the mathematics section of the AFAS drifted apart in their scientif c
concerns. See the review by M. Zerner in Mathematical Reviews 2001k:01036. (JA) #29.2.66

Gispert, Hélène. Finding the Social in Mathematics and its History. Critical Review: Catherine Goldstein’s A
Theorem of Fermat and its Readers, Revue d’Histoire des Sciences 53 (2) (2000), 303–306. One of two es-
say reviews of Goldstein’s book on Fermat, placing it within a longer tradition of the social history of math-
ematics; see also #29.2.82. See the review by Karl-Heinz Schlote in Mathematical Reviews 2001j:01023b.
(CJ) #29.2.67

Givant, Steven. See #29.2.169

Glas, Eduard. See #29.2.123 and #29.2.146.

Glasser, M. Lawrence. See #29.2.39.

Goldstein, Bernard R.; and Bowen, Alan C. The Role of Observations in Ptolemy’s Lunar Theories, in #29.2.164,
pp. 341–356. (GVB) #29.2.68

Golomb, S. W.; Berlekamp, Elwyn; Cover, T. M.; Gallager, R. G.; Massey, J. L.; and Viterbi, A. J. Claude Elwood
Shannon (1916–2001), Notices of the American Mathematical Society 49 (2002), 8–16. A memorial account of
some of the areas that the “father of information theory” affected with his work. (KVM) #29.2.69

Good, I. J. Turing’s Anticipation of Empirical Bayes in Connection with the Cryptanalysis of the Naval Enigma,
Journal of Statistical Computation and Simulation 66 (2) (2000), 101–111. Describes the use of “Banburismus,”
a sequential Bayesian procedure invented by Turing, to attack the German Enigma code during World War II.
(GVB) #29.2.70

Gorostiza, Luis G. See #29.2.103.

Grasshoff, Gerd. Normal Star Observations in Late Babylonian Astronomical Diaries, in #29.2.164, pp. 97–147.
(GVB) #29.2.71

Grattan-Guinness, Ivor. The Search for Mathematical Roots, 1870–1940. Logics, Set Theories and the Founda-
tions of Mathematics from Cantor through Russell to Gödel, Princeton, NJ: Princeton Univ. Press, 2000, xiv+690
pp., $24.95. “A comprehensive history of the mathematical background, content and impact of the mathematical
logic and philosophy of mathematics that B. Russell and A. N. Whitehead developed in Principia Mathematica.”
See the review by Roman Murawski in Mathematical Reviews 2001k:03003. (JA) #29.2.72

Grattan-Guinness, Ivor; and Fauvel, John. Detlef Laugwitz 1932–2000, BSHM Newsletter 42 (2000), 15–16.
Obituary of the historian of mathematics Detlef Laugwitz, known for his work on inf nite series, the theory of
functions, and Bernhard Riemann. (DEZ) #29.2.73



218 ABSTRACTS HMAT 29

Grattan-Guinness, Ivor. See also #29.2.2 and #29.2.105.

Gray, Jeremy. Symbols and Suggestions: Communication of Mathematics in Print, Mathematical Intelligencer
23 (2) (2001), 59–64. A wide-ranging discussion of the formulation and usage of mathematical notation in the
development of mathematics from the 17th to the 20th century. There is an emphasis on the language of ratio and
proportion, and logical notation. (FA) #29.2.74

Gray, Jeremy. See also #29.2.176.

Greaves, G. See #29.2.62.

Grimmett, Geoffrey R. Percolation, in Jean-Paul Pier, ed., Development of Mathematics 1950–2000, Basel:
Birkhäuser, 2000, pp. 547–575. An overview of the mathematical theory of percolation including an account of
the historical development of the subject. See the review by Neal Maras in Mathematical Reviews 2001m: 60225.
(GSS) #29.2.75

Guggenheimer, H. See #29.2.98.

Guicciardini, Niccolò. See #29.2.96, #29.2.134, and #29.2.192.

Guillaume, Marcel. See #29.2.154.

Guivarc’h, Yves. Marches Aléatoires sur les Groupes, in Jean-Paul Pier, ed.,DevelopmentofMathematics1950–
2000, Basel: Birkhäuser, 2000, pp. 577–608. A broad survey of the interactions of probability theory with other
disciplines, such as ergodic theory, Lie groups, harmonic analysis and statistical physics. See the review by Marc
Peigné in Mathematical Reviews 2001k:60100. (GVB) #29.2.76

Hantsche, Irmgard, ed. Der “Mathematicus”: Zur Entwicklung und Bedeutung einer Neuen Berufsgruppe in
der Zeit Gerhard Mercators [The “Mathematicus”: On the Evolution and Signif cance of a Novel Occupational
Group at the Time of Gerhard Mercator], Bochum: Universitätsverlag Dr. N. Brockmeyer, 1996, x+304 pp., DM
49.80. A collection of papers from the 4th Mercator Symposium held at Schloß Krickenbeck. Some of the papers
will be abstracted separately. (GVB) #29.2.77

Hauser, Walter. Die Wurzeln der Wahrscheinlichkeitsrechnung: Die Verbindung von Glücksspieltheorie und
Statistischer Praxis vor Laplace [The Roots of Probability Theory: The Connection Between the Theory of Games
of Chance and Statistical Practice before Laplace], Stuttgart: Franz Steiner Verlag, 1997, 236 pp., DM 78.
Analyzes how the theory of games of chance and the practice of statistical reasoning came together between 1657
and1770tocreateprobabilitytheory.SeethereviewbyEberhardKnoblochinMathematicalReviews 2001j:60004.
(CJ) #29.2.78

Hawlitschek, Kurt. Johann Faulhaber 1580–1635: Eine Blütezeit der Mathematischen Wissenschaften in Ulm,
Ulm:StadtbibliothekUlm,1995,376pp.,DM29.80.Richlydocumentedandwell-illustratedsurveyofFaulhaber’s
life and work; a detailed scholarly volume on an important f gure of the German Renaissance. See the review by
Warren Van Egmond in Mathematical Reviews 2001j:01022. (CJ) #29.2.79

Hayes, David R. Leonard Carlitz (1907–1999), Notices of the American Mathematical Society 48 (2001),
1322–1324. A brief account of the work and students of Leonard Carlitz, known for his work in f nite f elds.
(KVM) #29.2.80

Heck, Richard G., Jr. Grundgesetze der Arithmetik. I. §10, Philosophia Mathematica (3) 7 (3) (1999), 258–292.
Devoted to the study of Section 10 of Frege’s Grundgesetze der Arithmetik (1893). See the review by Roman
Murawski in Mathematical Reviews 2001j:03007. (CJ) #29.2.81

Herreman, Alain. The Meaning of Mathematical Text. Critical Review: Catherine Goldstein’s A Theorem of
Fermat and its Readers, Revue d’Histoire des Sciences 53 (2) (2000), 295–301. One of two essay reviews of
Goldstein’s book on Fermat, stressing the signif cance of her general historical approach; see also #29.2.67. See
the review by Karl-Heinz Schlote in Mathematical Reviews 2001j:01023a. (CJ) #29.2.82

Hessenbruch, Arne, ed. Reader’s Guide to the History of Science, London: Fitzroy Dearborn Publishers, 2000,
xxx+934 pp., $135. This guide is in the form of short essays on approximately 500 topics, from individuals to
disciplines to institutions and from all branches of science. Each essay is accompanied by a bibliography of the



HMAT 29 ABSTRACTS 219

most important secondary literature. The whole enterprise is designed to assist readers as they enter a f eld or a
subject that is outside of their speciality. (JA) #29.2.83

Higgins, J. R. See #29.2.34.

Hilpinen, Risto. Aristotelian Syllogistic as a Foundation of C. S. Peirce’s Theory of Reasoning, in Demetra
Sfendoni-Mentzou, ed., Aristotle and Contemporary Science, New York: Peter Lang, 2000, vol. 1, pp. 109–125.
Discusses the Aristotelian origins of Peirce’s theory of inference. (GVB) #29.2.84

Hogendijk, Jan P. See #29.2.61 and #29.2.139.

Holgate, Philip. Studies in the History of Probability and Statistics. XLV. The Late Philip Holgate’s Paper:
“Independent Functions. Probability and Analysis in Poland between the Wars,” Biometrika 84 (1) (1997), 159–
173. Explores early 20th century attempts by Polish mathematicians to develop a rigorous theory of probability
and compares this with the better-known work of Kolmogorov. See the review by A. I. Dale in Mathematical
Reviews 2001j:60005. (CJ) #29.2.85

Hunger, Hermann. Non-Mathematical Astronomical Texts and their Relationships, in #29.2.164, pp. 77–96.
(GVB) #29.2.86

Hutchinson, Keith. A Strange Fact about Aristotelian Dynamics, in Lodi Nauta and Arjo Vanderjagt, eds.,
Between Demonstration and Imagination, Leiden: Brill, 1999, pp. 269–283. A review of how Aristotle dealt with
the observation that the centers of the orbits of most stars are points away from the earth, contrary to what would
have been expected from his physics. See the review by Pierre Kerszberg in Mathematical Reviews 2001k:01069.
(JA) #29.2.87

Ifrah, Georges. The Universal History of Computing. From the Abacus to the Quantum Computer, translated
from the French by E. F. Harding, New York: Wiley, 2001, iv+412 pp., $24.95. This book is divided into three parts:
“an excellent account of the origin of number systems”; “the development of manual, mechanical, electrical and
electronic machines” for computing; and “a philosophical ramble over the implications of the information age.”
See the critical observations of A. D. Booth in the review in Mathematical Reviews 2001k:01003. (JA) #29.2.88

Israel,Giorgio. TheAnalyticalMethodinDescartes’Géométrie, inMichaelOtteandMarcoPanza,eds.,Analysis
and Synthesis in Mathematics, Dordrecht: Kluwer, 1997, pp. 3–34. Insightful analysis of the connection between
Descartes’s analytic method in the Regulae and his approach to geometry. See the review by William R. Shea in
Mathematical Reviews 2001j:01024. (CJ) #29.2.89

Jackson, Allyn. Interview with Arnold Ross, Noticesof theAmericanMathematicalSociety 48 (2001), 691–698.
An interview with the founder of the Ross Summer Mathematics Program at Ohio State University, reviewing his
life from 1906 until 2001. (KVM) #29.2.90

Jaligot, Eric. See #29.2.130.

Jardine, Nick. Koyré’s Kepler/Kepler’s Koyré, Historia Scientiarum 38 (2000), 363–376. A review of several
features of the history of science that were stimulated by Koyré’s “epoch-making study” of Kepler in 1957. See
the review by Pierre Kerszberg in Mathematical Reviews 2001k:01024. (JA) #29.2.91

Jiminez Alcon, Francisco. See #29.2.57.

Jones, Alexander, ed. Astronomical Papyri from Oxyrhynchus, 2 vols., Philadelphia: American Philosophical
Society, 1999, xiv+495 pp., $50. Translation of and commentary on astronomical papyri found in an early 20th
century dig at the Roman provincial capital of Oxyrhynchus, Egypt; offers a glimpse into the state of astron-
omy around the time of Ptolemy. See the review by Owen Gingerich in Mathematical Reviews 2001j:01009.
(CJ) #29.2.92

Jones, Alexander. A Classif cation of Astronomical Tables on Papyrus, in #29.2.164, pp. 299–340.
(GVB) #29.2.93

Jones, Alexander. See also #29.2.15.

Jovanovic, B. D. See #29.2.178.



220 ABSTRACTS HMAT 29

Kastanes, N. AspectsofNeo-HellenicMathematicalEducation [in Greek], Thessaloniki: Ekdoseis Mathematike
Vivliotheke H. Vafeiadis, 1998, 205 pp. This is a collection of articles “written within the framework of a re-
search team (under the direction of G. Karas).” The period studied is from the 15th century to the middle of the
19th century. Many references. See the review by Alkiviadis G. Akritas in Mathematical Reviews 2001k:01070.
(JA) #29.2.94

Kaunzner, Wolfgang. Zur Algebra des Heinrich Schreyber [On the Algebra of Heinrich Schreyber], in #29.2.189,
pp. 25–64. (GVB) #29.2.95

Kepler, Johannes. Optics, translated by William H. Donahue and with a preface by Dana Densmore and William
H. Donahue, Santa Fe, NM: Green Lion, 2000, xv+459 pp., $55. An English translation of Kepler’s 1604 master-
piece. See the review by Niccolò Guicciardini in Mathematical Reviews 2001j:01025. (CJ) #29.2.96

Kerszberg, Pierre. See #29.2.41, #29.2.87, and #29.2.91.

Kibler, Maurice. The Master Thesis of Moshé Flato, in Giuseppe Dito and Daniel Sternheimer, eds., Conférence
Moshé Flato 1999, Dordrecht: Kluwer, 2000, vol. II, pp. 177–184. A paper devoted to the M.Sc. thesis by Moshé
Flato and its impact on mathematical physics. See the review by Alexei Zhedanov in Mathematical Reviews
2001m:81102. (GSS) #29.2.97

Kirschner, Stefan. Nicolaus Oresmes Kommentar zur Physik des Aristoteles, Sudhoffs Archiv 1997, suppl. 39,
465–491. This work contains those questions, in Latin, attributed to Oresme in which he challenged Aristotle’s
physics, “and an overview over the remaining questions.” See the review by H. Guggenheimer in Mathematical
Reviews 2001k:01020. (JA) #29.2.98

Kiselman, Christer O. Plurisubharmonic Functions and Potential Theory in Several Complex Variables, in Jean-
Paul Pier, ed., Development of Mathematics 1950–2000, Basel: Birkhäuser, 2000, pp. 655–714. Historical survey
on plurisubharmonic functions and related topics from 1942 to 1997. See the review by Norman Levenberg in
Mathematical Reviews 2001j:32034. (CJ) #29.2.99

Knight, F. B. See #29.2.196.

Knobloch, Eberhard. See #29.2.78, #29.2.109, #29.2.124, and #29.2.150.

Lacki, Jan. The Early Axiomatizations of Quantum Mechanics: Jordan, von Neumann and the Continuation of
Hilbert’s Program, Archive for History of Exact Sciences 54 (4) (2000), 279–318. Describes the early attempts at
axiomatizing physical theories such as quantum mechanics. (GVB) #29.2.100

Lakshmikantham, V.; and Leela, S. The Origin of Mathematics, Lanham, MD: University Press of America,
2000, xii+92 pp., $44 hardbound, $24.50 paperbound. Argues, with some passion, that mathematics has a very
long tradition in India and that methods and results obtained there antedate similar ones in European history. See
the review by T. Thrivikraman in Mathematical Reviews 2001j:01016. (CJ) #29.2.101

Lax, P. D.; Magenes, E.; and Temam, R. Jacques-Louis Lions (1928–2001), Notices of the American Mathemat-
ical Society 48 (2001), 1315–1321. A review of the contributions of the founder of the French school of applied
mathematics, and former president of the French space agency CNES. (KVM) #29.2.102

Le Gall, Jean-François. Processus de Branchement, Arbres et Superprocessus, in Jean-Paul Pier, ed., Develop-
ment of Mathematics 1950–2000, Basel: Birkhäuser, 2000, pp. 763–793. A review of the theory of branching
processes, dealing especially with superprocesses, genealogy of branching processes, and probabilities on trees.
See the review by Luis G. Gorostiza in Mathematical Reviews 2001k:60120. (GVB) #29.2.103

Leela, S. See #29.2.101.

Levenberg, Norman. See #29.2.99.

Li, Di. See #29.2.167, #29.2.187, and #29.2.188.

Lishevsky, V. Liberté, Égalité, Géométrie, Quantum 11 (2000), 20–24. “This is a short popular article, without
bibliography, which outlines the life and research of Gaspard Monge (1749–1818) as a scientist and politician.”
See the review by Luigi Pepe in Mathematical Reviews 2001k:01058. (JA) #29.2.104



HMAT 29 ABSTRACTS 221

Lolli, Gabriele. Hilbert and Logic [in Italian], Matematiche (Catania) 55 (2000) suppl. 1, 93–126. Reviews
Hilbert’s contributions to metamathematics and proof theory, both from 1899 to 1905 and after 1917. See the
review by Ivor Grattan-Guinness in Mathematical Reviews 2001j:01038. (CJ) #29.2.105

Lorch, Richard. Ibn al-S.alāh.’s Treatise on Projection: A Preliminary Survey, in Menso Folkerts and Richard
Lorch, eds., Sic Itur Ad Astra: Studien zur Geschichte der Mathematik und Naturwissenschaften. Festschrift für
den Arabisten Paul Kunitzsch zum 70 Geburtstag, Wiesbaden: Harrassowitz Verlag, 2000, pp. 401–408. Describes
a 12th century treatise on the projection of the sphere. See the review by Emilia Calvo in Mathematical Reviews
2001j:01013. (CJ) #29.2.106

Magenes, E. See #29.2.102.

Maligranda, Lech; and Wnuk, Witold. Wl�adysl�aw Orlicz (1903–1990) [in Polish], Roczniki Polskiego
Towarzystwa Matematycznego. Seria II. Wiadomosci Matematyczne 36 (2000), 85–147. W. Orlicz was a member
of Banach’s famous school of functional analysts in Lwow. The f rst part of this paper is a full account of Or-
licz’s life and the second part is a “detailed description of research achievements by Orlicz.” See the review by J.
Musielak in Mathematical Reviews 2001k:01059. (JA) #29.2.107

Malta, Coraci P. See #29.2.8.

Mancosu, Paolo. Bolzano and Cournot on Mathematical Explanation, Revue d’Histoire des Sciences 52 (3–4)
(1999), 429–455. The opposition between explanatory and nonexplanatory proofs is at the heart of the philosophies
of mathematics of Bolzano and Cournot. (GVB) #29.2.108

Maras, Neal. See #29.2.75.

Martens, Rhonda. Kepler’sPhilosophyandtheNewAstronomy, Princeton: Princeton Univ. Press, 2000, xiv+201
pp.,$37.50.ExploresKepler’smathematicalmetaphysicsanditsconnectiontohisworkinastronomy;wellwritten,
but fails to engage non-English research on the topic. See the review by Eberhard Knobloch in Mathematical
Reviews 2001j:01026. (CJ) #29.2.109

Martı́nez Delgado, Alberto. The Pythagorean Theorem: Originality of the Proofs of E. Garcı́a Quijano (1848)
[in Spanish], Gaceta de la Real Sociedad Matemática Española 3 (2) (2000), 277–296. A presentation of
three proofs of the Pythagorean theorem published in 1848 by Evaristo Garcı́a Quijano, professor of mathe-
matics at the naval academy in Cadiz. See the review by Leo Corry in Mathematical Reviews 2001m:01032.
(GSS) #29.2.110

Massey, J. L. See #29.2.69.

McLarty, Colin. Richard Courant in the German Revolution, Mathematical Intelligencer 23 (3) (2001), 61–67.
An account of Richard Courant’s political views and actions during the German revolution of 1918–1919. The
author includes excerpts from letters written by Courant to David Hilbert, among others, as well as summaries of
public talks he gave in Göttingen that were published in German newspapers. (FA) #29.2.111

Mehra, Jagdish. Einstein, Physics, and Reality, River Edge, NJ: World Scientif c Publishing, 1999, x+156 pp.
A brief exploration of Einstein’s involvement in the development of quantum theory, including a discussion
of his correspondence with Schrödinger and Born. See the review by Derek Raine in Mathematical Reviews
2001m:81002. (GSS) #29.2.112

Meretz, Wolfgang; and Weidauer, Manfred. Die Schriften von Heinrich Schreyber. Uberblick [The Writings of
Heinrich Schreyber. A Survey], in #29.2.189, pp. 143–165. (GVB) #29.2.113

Mikhailov, G. K. See #29.2.178.

Miller, H. R. See #29.2.27.

Mueller, Paul R. An Unblemished Success: Galileo’s Sunspot Argument in the Dialogue, Journal for theHistory
of Astronomy 31 (4) (2000), 279–299. Proposes an updated interpretation of Galileo’s argument for the motion of
the earth from the motions of sunspots and uses it to deal with three modern criticisms. (GVB) #29.2.114



222 ABSTRACTS HMAT 29

Muñoz Prieto, Luis C. See #29.2.57.

Murawski, Roman. See #29.2.29, #29.2.65, #29.2.72, #29.2.81, and #29.2.163.

Musielak, J. See #29.2.107.

Nadal, R. See #29.2.152.

Nauenberg, Michael. Newton’s Expansion for the Square Root of an Algebraic Equation by an Equivalent
ArithmeticMethod,inRichardH.DalitzandMichaelNauenberg,eds.,TheFoundationsofNewtonianScholarship,
River Edge, NJ: World Scientif c Publishing, 2000, pp. 161–164. A presentation of a justif cation of Newton’s
expansion starting from Fauvel’s discussion of Newton’s expansion of algebraic expressions. See the review by
Massimo Galuzzi in Mathematical Reviews 2001m:01024. (GSS) #29.2.115

Neuenschwander, Daniel. Irren ist Menschlich—Oder: Der Satz über die Unimodalität Stabiler Verteilungen,
ein Theorem mit einer Bewegten Geschichte [To Err is Human—Or: The Theorems on the Unimodality of Stable
Distributions, a Theorem with a Colorful History], Mathematische Semesterberichte 46 (2) (1999), 241–247. The
colorful history of the theorem on the unimodality of stable probability distributions features two false proofs and
an incorrect counterexample. (GVB) #29.2.116

Neuenschwander, Erwin. Zur Historiographie der Mathematik in der Schweiz, ArchivesInternationalesd’Histo-
ire des Sciences 49 (143) (1999), 369–399. Begins with an overview of the development of mathematics in
Switzerland, then discusses the contributions made by Swiss scholars to mathematical-historical research.
(GVB) #29.2.117

Neumann, Bernhard. An Ancient Mathematician Remembers, BSHM Newsletter 43 (2001), 3–7. The author, an
eminent algebraist, reminisces about his migration to England from Germany in 1933, his formal doctoral thesis
under Philip Hall at Cambridge, and his subsequent appointments. (DEZ) #29.2.118

Neumann, Bernhard. See also #29.2.30.

Newstead, Anne G. J. Aristotle and Modern Mathematical Theories of the Continuum, in Demetra Sfendoni-
Mentzou, Jagdish Hattiangadi, and David M. Johnson, eds., Aristotle and Contemporary Science, New York:
Peter Lang, 2001, vol. 2, pp. 113–129. This work argues that the three Cantorian characteristics of the continuum,
“density, connectedness, and closedness,” are found in the work of Aristotle, especially his Physics. See the review
by Victor V. Pambuccian in Mathematical Reviews 2001k:00006. (JA) #29.2.119

Nicolaidis, Efthymios. See #29.2.19.

Nicolas, Jean-Louis. Arithmétique et Cryptographie, in Jean-Paul Pier, ed., Development of Mathematics 1950–
2000, Basel: Birkhäuser, 2000, pp. 849–877. On the historical development of algorithms related to public-key
cryptography. See the review by Edlyn E. Teske in Mathematical Reviews 2001j:94039. (CJ) #29.2.120

Odifreddi, Piergiorgio. The Well-Numbered Clavier, in #29.2.52, pp. 106–115. (GVB) #29.2.121

Ojeda-Aciego, Manuel. See #29.2.38.

Ortiz, E. L. Gerald James Whitrow 1912–2000, BSHM Newsletter 42 (2000), 16–18. Obituary of the BSHM’s
f rst president, Gerald Whitrow, a distinguished mathematician, historian, and philosopher known for his research
in cosmology. (DEZ) #29.2.122

Otte, Michael. Analysis and Synthesis in Mathematics from the Perspective of Charles S. Peirce’s Philoso-
phy, in Michael Otte and Marco Panza, eds., Analysis and Synthesis in Mathematics, Dordrecht: Kluwer, 1997,
pp. 327–362. Analyzes Peirce’s indebtedness to Kant and the ways in which the meaning of fundamental Kantian
notions are changed in Peirce’s philosophy of mathematics. See the review by Eduard Glas in Mathematical
Reviews 2001j:00011. (CJ) #29.2.123

Pambuccian, Victor V. See #29.2.40, #29.2.119, and #29.2.169.

Panza, Marco. Classical Sources for the Concepts of Analysis and Synthesis, in Michael Otte and Marco Panza,
eds., Analysis and Synthesis in Mathematics, Dordrecht: Kluwer, 1997, pp. 365–414. Explores the Aristotelian



HMAT 29 ABSTRACTS 223

origin of the analytic method and traces it through various classical sources. See the review by Eberhard Knobloch
in Mathematical Reviews 2001j:01007. (CJ) #29.2.124

Park, Sehie. Ninety Years of the Brouwer Fixed Point Theorem, Vietnam Journal of Mathematics 27 (3) (1999),
187–222. This historical survey concerns itself mainly with equivalent forms and generalizations of the theorem.
(GVB) #29.2.125

Parthasarathy, Kalyanapuram R. See #29.2.3.

Paty, Michel. Les Trois Stades du Principe de Relativité, Revue des Questions Scientif que 170 (1999), 103–150.
This essay divides the historical development of relativity into three stages: classical or Galilean relativity; the
special relativity of Einstein; and general relativity. It is accompanied by “an almost exhaustive list of references.”
See the review by N. D. Sengupta in Mathematical Reviews 2001k:01045. (JA) #29.2.126

Peigné, Marc. See #29.2.76.

Pepe, Luigi. See #29.2.104.

Pérez Sanz, Antonio. Polygonal Numbers: A Box of Surprises with a Lot of History [in Spanish], Gaceta
de la Real Sociedad Matemática Española 3 (2) (2000), 331–337. Article on Pythagorean arithmetic readable
by college students. See the review by Godofredo Iommi Amunátegui in Mathematical Reviews 2001m:01076.
(GSS) #29.2.127

Pérez-Ilzarbe, Paloma. See #29.2.177.

Petsinis, Tom. The French Mathematician, New York: Berkley Books, 2000, vi+427 pp., $13.95. A novel about
the life and work of Évariste Galois. (GVB) #29.2.128

Pinkus, Allan. Weierstrass and Approximation Theory, Journal of Approximation Theory 107 (2000), 1–66.
The heart of this work is “a thorough discussion of the Weierstrass approximation theorem,” from several early
proofs to a number of generalizations. See the review by Roger L. Cooke in Mathematical Reviews 2001k:01039.
(JA) #29.2.129

Plofker, Kim. See #29.2.164.

Poizat, Bruno. Autour du Théorème de Morley, in Jean-Paul Pier, ed., Development of Mathematics 1950–2000,
Basel: Birkhäuser, 2000, pp. 879–896. Treats the historical development of model theory, a branch of mathematical
logic, during the last half of the 20th century. See the review by Eric Jaligot inMathematicalReviews 2001j:03070.
(CJ) #29.2.130

Porres, Beatriz; and Chabás, José. John of Murs’s Tabulae Permanentes for Finding True Syzygies, Jour-
nal for the History of Astronomy 32 (2001), 63–72. Discussion of a double-argument table of John of Murs
(ca. 1330) used to determine the time of a true conjunction or opposition of the Sun and Moon. Appendix con-
tains a parallel English translation. See the review by Benno van Dalen in Mathematical Reviews 2001m:01018.
(GSS) #29.2.131

Proust, Joëlle. Bolzano’s Theory of Representation, Revue d’Histoire des Sciences 52 (3–4) (1999), 363–383.
Bolzano hoped to achieve a deep transformation of mathematical and scientif c practice through his theory, which
was “one of the most radically intensionalist approaches to representation.” (GVB) #29.2.132

Puerto Albandoz, Justo. See #29.2.57.

Putnam, Hilary. See #29.2.58.

Radbruch, Knut. Mathematische Spuren in der Philosophie, Mathematische Semesterberichte 46 (2) (1999),
135–153. Provides a selection of the inf uence of mathematics in the works of the following philosophers: Plato,
Nickolaus von Kues, Kant, Schelling, Friedrich Schlegel, Hegel, and Heidegger. (GVB) #29.2.133

Radelet-de Grave, P. Relativité Galiléenne et Lois de Conservation, Revue des Questions Scientif ques 170
(1999), 209–260. “This paper traces the seventeenth-century origins of some of the basic conservation laws and
their relationship with Galilean relativity.” The work of Christian Huygens is prominently featured. See the review
by Niccolò Guicciardini in Mathematical Reviews 2001k:01025. (JA) #29.2.134



224 ABSTRACTS HMAT 29

Raine, Derek. See #29.2.112.

Rankin, Robert. Hugh Blackburn: A Little-Known Mathematical Friend of Lord Kelvin, BSHM Newsletter
43 (2001), 7–13. An account of the Scottish mathematician Hugh Blackburn (1823–1909), emphasizing his
friendship with William Thompson (1824–1907) and relations between the Blackburn and Thompson families.
(DEZ) #29.2.135

Ransom, Peter. Andover Those Sundials, BSHM Newsletter 42 (2000), 25–28. The author’s search for a sundial
in Andover compels him to investigate William Hawkins Heath (1787–1861). (DEZ) #29.2.136

Rashed, Marwan. See #29.2.139.

Rashed, Roshdi. Les Commencements des Mathématiques Archimédiennes en Arabe: Banū Mūsā, in Ahmad
Hasnawi, Abdelali Elamrani-Jamal, and Maroun Aouad, eds., Perspectives Arabes et Médiévales sur la Tradition
Scientif que et Philosophique Grecque, Leuven: Peeters Éditions/Paris: Institut du Monde Arabe, 1997, pp. 1–19.
The author argues that the work of the Banū Mūsā was fundamental in pointing the Archimedean tradition of
quadrature and cubature in medieval Islam toward the use of point transformations. See the review by J. Lennart
Berggren in Mathematical Reviews 2001m:01012. (GSS) #29.2.137

Rashed,Roshdi. Al-Jabrwa-al-handasahf al-qarnal-thani‘ashar:Mu’allafatSharafal-Dı̄nal-Tūsı̄[inArabic],
Beirut: Markaz Dirasat al-Wahdah al-‘Arabiyah, 1998, 718 pp. This book is an annotated translation into Arabic
of Sharaf al-Dı̄n al-Tūsı̄’s mathematical work. See the review by J. Lennart Berggren in Mathematical Reviews
2001k:01017. (JA) #29.2.138

Rashed, Roshdi. Les Catoptriciens Grecs. I. Les Miroirs Ardents, with an appendix by Marwan Rashed, Paris:
Les Belles Lettres, 2000, xxvi+450 pp. Arabic editions and French translations of Diocles on burning mirrors, a
treatise on burning mirrors by an unidentif ed Greek mathematician, and a treatise by Anthemius of Tralles (ca.
AD 600) on elliptical and parabolic burning mirrors. The Diocles contains variations from Toomer’s translation,
but is not necessarily an improvement. See the detailed review by Jan P. Hogendijk in Mathematical Reviews
2001m:01009. (GSS) #29.2.139

Rathie, Pushpa Narayan. Statistics in the XXth Century: General Aspects and Applications [in Portuguese],
International Journal of Mathematical and Statistical Sciences 9 (2) (2000), 125–157. A survey of statistics,
which “has developed as a powerful combination of science, technology and logic that is used to solve problems
in all areas of human enterprise.” (GVB) #29.2.140

Rav, Yehuda. See #29.2.157.

Reich,Karin. DieEntdeckungundFrüheRezeptionderKonstruierbarkeitdesRegelmäßigen17-EcksundDessen
Geometrische Konstruktion durch Johannes Erchinger (1825) [The Discovery and Early Reception of the Con-
structibility of the Regular 17-gon and Its Geometric Construction by Johannes Erchinger (1825)], in Rüdiger
Thiele,ed.,Mathesis:FestschriftzumSiebzigstenGeburtstagvonMatthiasSchramm,Berlin:VerlagfürGeschichte
der Naturwissenschaften und der Technik, 2000, pp. 101–118. Presents the discovery by Gauss of the constructibil-
ity of the regular 17-gon and its further reception in the early 19th century. See the review by Doru Stefanescu in
Mathematical Reviews 2001j:01031. (CJ) #29.2.141

Reignier, Jean. À Propos de la Naissance de la Relativité Restreinte. Une Suggestion Concernant la “Troisième
Hypothèse” de H. Poincaré, Académie Royale de Belgique. Bulletin de la Classe des Sciences 11 (2000), 63–77.
The author of this paper argues for the signif cance, historically and pedagogically, of Poincaré’s contributions
leading to the 1904–1905 formulations of special relativity. See the review by N. D. Sengupta in Mathematical
Reviews 2001k:01046. (JA) #29.2.142

Reiner, Erica. Babylonian Celestial Divination, in #29.2.164, pp. 21–37. (GVB) #29.2.143

Remmert, Reinhold. Felix Klein und das Riemannsche Erbe, Mitteilungen der Deutschen Mathematiker-
Vereinigung 2001 (1), 22–30. Article containing interesting observations on Klein by those who worked with
him. Discusses Klein’s contributions to understanding Riemann’s revolutionary approach to mathematics. See the
review by Roger L. Cooke in Mathematical Reviews 2001m:01056. (GSS) #29.2.144



HMAT 29 ABSTRACTS 225

Rheinboldt, W. C. See #29.2.33.

Rochberg, F. Babylonian Horoscopy: The Texts and their Relations, in #29.2.164, pp. 39–59. (GVB)
#29.2.145

Roero, Clara Silvia. Mathematics and International Language [in Italian], Bollettino della Unione Matema-
tica Italiana. Sezione A. La Matematica nella Società e nella Cultura (8) 2 (2) (1999), 159–182. Discusses the
development of universal quasi–natural languages in the period 1850–1930. See the review by Eduard Glas in
Mathematical Reviews 2001j:00019. (CJ) #29.2.146

Rottel, Karl. “Arithmetica Applicirt”: Visierkunst, Buchhaltung, Kartographie und Astronomie bei Henricus
Grammateus [“Applied Arithmetic”: Measuring, Accounting, Cartography and Astronomy of Henricus Gramma-
teus], in #29.2.189, pp. 67–89. (GVB) #29.2.147

Rouxel, Bernard. See #29.2.53.

Roy, Damien. See #29.2.184.

Runggaldier, Wolfgang J. On the Development of Applied Mathematics in an Interdiscriplinary Area: Mathe-
matical Finance [in Italian], Bollettino della Unione Matematica Italiana. Sezione A. La Matematica nella Società
enellaCultura (8) 2 (3) (1999), 297–316. The origins of mathematical f nance lie in economics and econometrics;
more recent developments have occurred in mathematics. (GVB) #29.2.148

Ryckman, T. A. Einstein, Cassirer, and General Covariance—Then and Now, Science in Context 12 (4) (1999),
585–619. Cassirer’s 1921 assessment of general covariance, earlier the subject of puzzling remarks by Einstein
(1916), “is a ‘limiting heuristic principle’ guiding Einstein’s fundamental conception of a ‘complete f eld theory’;
as such, it underlies a ‘separation principle’ built into the conceptual framework of the EPR criticism of quantum
mechanics.” (GVB) #29.2.149

Salanskis, Jean-Michel. Analysis, Hermeneutics, Mathematics, in Michael Otte and Marco Panza, eds., Analysis
andSynthesis inMathematics, Dordrecht: Kluwer, 1997, pp. 227–241. Argues that the classical method of analysis
is closely related to hermeneutics. See the review by Eberhard Knobloch in Mathematical Reviews 2001j:00013.
(CJ) #29.2.150

Santos del Cerro, Jesús. A Theory About the Creation of the Modern Concept of Probability: Spanish Contri-
butions [in Spanish], LLULL 23 (47) (2000), 431–450. Argues that Spanish authors, especially moral theolo-
gians, established moral probabilism, which came to be absorbed by probability theory in the 17th century.
(GVB) #29.2.151

Savvidy, George K. See #29.2.54.

Schaefer, Bradley E. The Latitude of the Observer of the Almagest Star Catalogue, Journal for the History
of Astronomy 32 (2001), 1–42. This paper is a continuation of recent efforts to contribute to the solution of
the problem posed by the star catalogue (Books VII and VIII) of the Almagest. Also see the Jan.–Feb. 2000
Internet archives of the H-Astro forum. See the review by R. Nadal in Mathematical Reviews 2001k:01009.
(JA) #29.2.152

Schlote, Karl-Heinz. See #29.2.63, #29.2.67, and #29.2.82.

Schwartz, Laurent. A Mathematician Grappling with his Century, translated from the French by Leila Schneps,
Basel: Birkhäuser, 2001, viii+490 pp., $44.95. English translation of the French autobiography on Schwartz’s life
and work. (CJ) #29.2.153

Seneta, E. See #29.2.155.

Sengupta, N. D. See #29.2.126 and #29.2.142.

Serfati, Michel. À la Recherché des Lois de la Pensée. Sur l’Epistémologie du Calcul Logique et du Calcul
des Probabilitiés chez Boole, Mathématiques et Sciences Humaines 150 (2000), 41–79. A description of the
epistemological genesis of Boole’s logical calculus and a description of the connections Boole made between



226 ABSTRACTS HMAT 29

logical calculus and probability. See the extensive review by Marcel Guillaume in Mathematical Reviews
2001m:01033. (GSS) #29.2.154

Sevast’yanov, B. A. Branching Processes: A Glimpse into the Past [in Russian], Teoriya Veroyatnosteı̆i i Prime-
neniya 44 (3) (1999), 692–694. A brief survey of the history of the f eld, starting with the founding of the Moscow
school in 1946 and dealing with some of the political diff culties. See the review by E. Seneta in Mathematical
Reviews 2001k:60125. (GVB) #29.2.155

Shea, William R. See #29.2.89 and #29.2.189.

Sideropoulos, K. N. See #29.2.183.

Sieg, Wilfried. See #29.2.179.

Simões, Ana; and Gavroglu, Kostas. Quantum Chemistry in Great Britain: Developing a Mathematical Frame-
work for Quantum Chemistry,Studies inHistoryandPhilosophyofScienceB.Studies inHistoryandPhilosophyof
Modern Physics 31 (2000), 511–548. This paper describes the important contributions of John E. Lennard-Jones,
Douglas R. Hartree, and Charles Alfred Coulson to mathematical reformulations of quantum chemistry problems.
See the review by Isabelle Catto in Mathematical Reviews 2001k:01050. (JA) #29.2.156

Sinaceur, Hourya. Alfred Tarski: Semantic Shift, Heuristic Shift in Metamathematics, Synthese 126 (2001), 49–
65. Following Hilbert’s introduction, in 1922, of the term “metamathematics,” Tarski’s introduction of semantic
methods and model theory, as described in this paper, transformed metamathematics into being a part of mathe-
matics itself, “on a par with any other branch of mathematics.” See the review by Yehuda Rav in Mathematical
Reviews 2001k:03004. (JA) #29.2.157

Singh, Parmanand. The Gan. ita Kaumudı̄ of Nārāyana Pan.dita. Chapter IV, Gan. ita-Bhāratı̄ 21 (1–4) (1999), 10–
73. Translation of the fourth chapter of the Gan.ita Kaumudı̄ (1356), dealing primarily with geometry but including
some discussion of computational arithmetic, algebra, and trigonometry. See the review by A. I. Volodarskı̆i in
Mathematical Reviews 2001j:01017. (CJ) #29.2.158

Singmaster, David. Mathematical Gazetteer of Britain #15: London Part 4: Science Museum, BSHM
Newsletter 42 (2000), 20–24. Descriptions of mathematical holdings in the Science Museum in South Kensington.
(DEZ) #29.2.159

Singmaster, David. Mathematical Gazetteer of Britain #16: London Part 5: Educational Institutions, BSHM
Newsletter 43 (2001), 31–40. Descriptions of British mathematicians associated with educational institutions in
London, including C. Wren at Gresham College, H. Savile at Eton College, and W. Burnside at the Nautical
Almanac Off ce. (DEZ) #29.2.160

Smale, Stephen. The Collected Papers of Stephen Smale, 3 vols., edited by F. Cucker and R. Wong, Singapore:
Singapore Univ. Press/River Edge, NJ: World Scientif c Publishing, 2000. Contains reprints of Smale’s original
papers, along with surveys of the areas in which he worked and some personal recollections. See the review by
Serge L. Tabachnikov in Mathematical Reviews 2001j:01061. (CJ) #29.2.161

Smithies, F. See #29.2.6 and #29.2.45.

Smorodinsky, Meir. Information, Entropy and Bernoulli Systems, in Jean-Paul Pier, ed., Development of Mathe-
matics1950–2000, Basel: Birkhäuser, 2000, pp. 993–1012. Historical note on the origin of the concepts of entropy,
Ornstein isomorphism theory, and related developments. See the review by A. I. Danilenko in Mathematical Re-
views 2001j:37013. (CJ) #29.2.162

Stefanescu, Doru. See #29.2.35, #29.2.46, and #29.2.141.

Stens, R. L. See #29.2.34.

Stępińska,Ewa. OnObjectionsofAjdukiewicztoHilbert’sProofofConsistency[inPolish],WiadomściMatema-
tyczne 36 (2000), 45–52. A discussion of the remarks of Poincaré and Ajdukiewicz concerning Hilbert’s proofs
of the consistency of arithmetic. See the review by Roman Murawski in Mathematical Reviews 2001m:03006.
(GSS) #29.2.163



HMAT 29 ABSTRACTS 227

Swerdlow, Noel M., ed. Ancient Astronomy and Celestial Divination, Cambridge, MA: MIT Press, 1999, x+378
pp., $49.95. Valuable collection of new research by major scholars in the f eld, and a good introduction to a
larger body of literature on the topic; directed mainly at specialists, but also provides a good treatment of some
basic historical and mathematical issues related to ancient science. The articles are listed separately in #29.2.25,
#29.2.26, #29.2.68, #29.2.71, #29.2.86, #29.2.93, #29.2.143, #29.2.145, #29.2.165, #29.2.166, #29.2.171, and
#29.2.185. See the review by Kim Plofker in Mathematical Reviews 2001j:01006. (CJ) #29.2.164

Swerdlow, Noel M. Introduction, in #29.2.164, pp. 1–19. (GVB) #29.2.165

Swerdlow, Noel M. The Derivation of the Parameters of Babylonian Planetary Theory with Time as the Principal
Independent Variable, in #29.2.164, pp. 255–298. (GVB) #29.2.166

Swerdlow, Noel M. Kepler’s Iterative Solution to Kepler’s Equation, Journal for the History of Astronomy 31
(2000), 339–341. This is a brief account of Kepler’s own solution, from his Epitome of Copernican Astronomy,
of his equation. See the review by Di Li in Mathematical Reviews 2001k:01027. (JA) #29.2.167

Tabachnikov, Serge L. See #29.2.161.

Tarski, Alfred. Address at the Princeton University Bicentennial Conference on Problems of Mathematics
(December 17–19, 1946), edited by Hourya Sinaceur, Bulletin of Symbolic Logic 6 (1) (2000), 1–44. First publi-
cation of a 1946 address by Tarski on decidable and undecidable problems. See the review by John W. Dawson,
Jr. in Mathematical Reviews 2001j:03002. (CJ) #29.2.168

Tarski, Alfred; and Givant, Steven. Tarski’s System of Geometry, Bulletin of Symbolic Logic 5 (1999), 175–
214. This “edited, richly annotated and footnoted” letter of Tarski “represents the only existing commentary
on the historical development of Tarski’s axiom system for geometry.” (Compare with Hilbert’s system in his
Grundlagen der Geometrie.) See the review by Victor V. Pambuccian in Mathematical Reviews 2001k:03019.
(JA) #29.2.169

Tattersall, James J. See #29.2.9.

Taylor, B. A. See #29.2.27.

Temam, R. See #29.2.102.

Teske, Edlyn E. See #29.2.120.

Thiele,Rüdiger. FrüheVariationsrechnungundFunktionsbegriff[EarlyCalculusofVariationsandFunctionCon-
cept], in Rüdiger Thiele, ed., Mathesis: Festschrift zum Siebzigsten Geburtstag von Matthias Schramm, Berlin:
Verlag für Geschichte der Naturwissenschaften und der Technik, 2000, pp. 128–181. The author analyzes how
mathematicians regarded functions as a central concept in modern mathematics and how calculus of variations de-
velopedduringthesameperiodasthedevelopmentofthefunctionconcept.SeethereviewbyUbiratanD’Ambrosio
in Mathematical Reviews 2001m:01004. (GSS) #29.2.170

Thrivikraman, T. See #29.2.101.

Tihon, Anne. Theon of Alexandria and Ptolemy’s Handy Tables, in #29.2.164, pp. 357–369. (GVB) #29.2.171

Todesco, Gian Marco. From the Slate to the Computer, in #29.2.52, pp. 60–68. (GVB) #29.2.172

Toepell,Michael. TheOriginandtheFurtherDevelopmentofHilbert’sGrundlagenderGeometrie,Matematiche
(Catania) 55 (2000) suppl. 1, 207–226. Concise summary of more extensive published work by the author on the
topic. See the review by Benno Artmann in Mathematical Reviews 2001j:01033. (CJ) #29.2.173

Tournès, Dominique. Pour une Histoire du Calcul Graphique, Revue d’Histoire des Mathématiques 6 (2000),
127–161.“Calculgraphique”includesharmonicanalysers, integraphs,planimeters, thesliderule,andnomographs.
The period studied is 1790 to 1980. An extensive bibliography is included. See the review by A. D. Booth in
Mathematical Reviews 2001k:01005. (JA) #29.2.174



228 ABSTRACTS HMAT 29

Tweddle,Ian. RobertAlexanderRankin,1915–2001,BSHMNewsletter 43 (2001),26–31.Obituaryoftheleading
British number theorist Robert Rankin, with a list of selected publications and brief accounts of his writings on
the history of mathematics. (DEZ) #29.2.175

Ullrich, Peter. Emil Artins Unveröffentlichte Verallgemeinerung seiner Dissertation [Emil Artin’s Unpublished
Generalization of His Dissertation], Mitteilungen der Mathematischen Gesellschaft in Hamburg 19 (2000), 173–
194. A description of Artin’s generalization of his work on rational functions over f nite f elds to more general f nite
f elds in which he could prove special cases of the Riemann hypothesis in this setting. Artin never published the
work since Hilbert initially dismissed it. See the review by Jeremy Gray in Mathematical Reviews 2001m:01038.
(GSS) #29.2.176

Ursic, Marko. Paraconsistency and Dialectics as Coincidentia Oppositorum in the Philosophy of Nicholas of
Cusa, Logique et Analyse (N. S.) 41 (161–163) (1998), 203–217. A revision of some conclusions of Priest con-
cerning “coincidence of opposites.” An attempt to understand the system of Nicholas of Cusa from the point
of view of modern logic. See the review by Paloma Pérez-Ilzarbe in Mathematical Reviews 2001m:01019.
(GSS) #29.2.177

Vakulenko, A. A.; and Mikhailov, G. K. Clifford Truesdell and the Modern History of Mechanics [in Russian],
Voprosy Istorii Estestvoznaniya i Tekhniki 2000, 59–66. In addition to a short biographical study of Clifford
Truesdell, this is an evaluation of the importance of his contributions to the history and current study of mechanics.
See the review by B. D. Jovanovic in Mathematical Reviews 2001k:01051. (JA) #29.2.178

Van Dalen, Benno. See #29.2.131.

Van Dalen, Dirk. Brouwer and Fraenkel on Intuitionism, Bulletin of Symbolic Logic 6 (3) (2000), 284–310.
Relates the interaction between Brouwer and Fraenkel in the 1920s, based largely on unpublished documents;
sheds light on Brouwer’s development of intuitionism as well as his somewhat diff cult personality. See the review
by Wilfried Sieg in Mathematical Reviews 2001j:01035. (CJ) #29.2.179

VanderWaerden,B.L. ScienceAwakening[inGreek], translatedandeditedbyGiannesChristianides,Heraklion:
Panepistemiakes Ekdoseis Cretes, 2000, xxvi+370 pp. A translation into Greek of the 1988 edition of this 1950
classic. (GVB) #29.2.180

Van Egmond, Warren. See #29.2.31, #29.2.60, and #29.2.79.

Van Rootselaar, Bob. See #29.2.22.

Venator, Johannes. Logica [in Latin], 2 vols., edition by L. M. de Rijk, Stuttgart: Friedrich Frommann Verlag
Günther Holzboog, 1999, 335 and 270 pp., DM 590. Venator was an inf uential member of the school of Oxford
logicduringthesecondhalfof the14thcentury.ThesetwovolumesarecriticaleditionsofhisLogica“meticulously
produced” from two manuscripts by L. M. de Rijk. See the reviews by Philip A. Beeley in Mathematical Reviews
2001k:01021a and 2001k:01021b. (JA) #29.2.181

Vershik, A. M. Vladimir Abramovich Rokhlin [1919–1984], in V. Turaev and A. Vershik, eds.,Topology,Ergodic
Theory, Real Algebraic Geometry, Providence, RI: American Mathematical Society, 2001, pp.1–10. Article on
the life and work of Vladimir Abramovich Rokhlin. Rokhlin was out of favor with the Communist regime and
was forced to accept positions unbef tting his talents. Rokhlin worked with Pontryagin and Aleksandrov. See the
review by Roger L. Cooke in Mathematical Reviews 2001m:01060. (GSS) #29.2.182

Viterbi, A. J. See #29.2.69.

Vogel, Kurt. Uses of Letters and Indian Numerals in Byzantium [in Greek], translated from the German by K. N.
Sideropoulos, Neusis 5 (1996), 75–81. This 1958 paper is translated and reprinted here as the source of inspiration
of a subsequent article by Jean Christianidis (#29.2.37). (GVB) #29.2.183

Volodarskĭi, A. I. See #29.2.158.

Waldschmidt, Michel. Un Demi-Siècle de Transcendance, in Jean-Paul Pier, ed., Development of Mathematics
1950–2000, Basel: Birkhäuser, 2000, pp. 1121–1186. A thorough review of the theory of transcendental numbers
and Diophantine approximation from 1950 to 2000, including an extensive bibliography. See the review by Damien
Roy in Mathematical Reviews 2001k:11130. (JA) #29.2.184



HMAT 29 ABSTRACTS 229

Walker, C. B. F. Babylonian Observations of Saturn during the Reign of Kandalanu, in #29.2.164, pp. 61–76.
(GVB) #29.2.185

Wallis, Ruth. More Publicly-Owned Rare Mathematical Works under the Auctioneer’s Hammer,BSHMNewslet-
ter 43 (2001), 16–19. Rare books on mathematics continue to be sold in England, this time by a municipal library
in Newcastle upon Tyne. (DEZ) #29.2.186

Wang, Yusheng. Hua Hengfang: Forerunner and Disseminator of Modern Science in China, in Dainian Fang
and Robert S. Cohen, eds., Chinese Studies in the History and Philosophy of Science and Technology, Dor-
drecht: Kluwer, 1996, pp. 369–393. A scientif c biography of Hua Hengfang (1833–1902), whose contributions
spanned mineralogy, geology, and mathematics. See the review by Di Li in Mathematical Reviews 2001k:01064.
(JA) #29.2.187

Wang, Yusheng. Li Shanlan: Forerunner of Modern Science in China, in Dainian Fang and Robert S. Cohen,
eds., Chinese Studies in the History and Philosophy of Science and Technology, Dordrecht: Kluwer, 1996,
pp. 345–368. This extensive biography of Li Shanlan (1811–1882) describes in detail his mathematical research,
the roles he played in “westernizing movements” in science, technology, and politics, his teaching, and his poetry
and prose writings. See the review by Di Li in Mathematical Reviews 2001k:01063. (JA) #29.2.188

Weidauer, Manfred, ed. Heinrich Schreyber aus Erfurt, genannt Grammateus. Festschrift zum 500. Geburstag,
Munich: Institut für die Geschichte der Naturwissenschaften, 1996, 165 pp. A collection of papers on Gram-
mateus, the author of several important early 16th century “Rechenbuchern.” The papers are listed separately as
#29.2.50, #29.2.59, #29.2.95, #29.2.113, #29.2.147, #29.2.190, and #29.2.191. See the review by William R. Shea
in Mathematical Reviews 2001k:01023. (JA) #29.2.189

Weidauer, Manfred. Zu den Rechenbuchern von Heinrich Schreyber [On the Arithmetic Books of Heinrich
Schreyber], in #29.2.189, pp. 93–107. (GVB) #29.2.190

Weidauer, Manfred. Heinrich Schreyber—aus Erfurt oder aus Herbsleben? [Heinrich Schreyber—From Erfurt
or from Herbsleben?], in #29.2.189, pp. 111–114. (GVB) #29.2.191

Weidauer, Manfred. See also #29.2.113.

Weinstock, Robert. Inverse-Square Orbits in Newton’s Principia and Twentieth Century Commentary Thereon,
Archive for History of Exact Sciences 55 (2000), 137–162. In 1982, the author initiated a very high level debate
by denying that, in the Principia, Newton actually produced a rigorous proof of the inverse–square law. This
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Wilson, N. G. Archimedes: The Palimpsest and the Tradition, Byzantinische Zeitschrift 92 (1) (1999), 89–
101. Discusses the history of the palimpsest containing Archimedes’s Method, but does not treat the mathematics
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(CJ) #29.2.193

Wilson, Robin J. See #29.2.14.

Wnuk, Witold. See #29.2.107.

Wolters, Gereon. Die Pragmatische Vollendung des Logischen Empirismus. In Memoriam Carl Gustav Hempel
(1905–1997) [The Pragmatic Completion of Logical Empiricism. In Memoriam Carl Gustav Hempel (1905–
1997)], Journal for General Philosophy of Science 31 (2) (2000), 205–242. Discusses Hempel’s contributions
to central matters in philosophy of science and places Hempel’s work within the history of logical empiricism.
(CJ) #29.2.194

Xu, De Yi. The Computations of π,JournalofCentralChinaNormalUniversity.NaturalSciences 34 (3) (2000),
376–378. A brief history of methods of computing π and their signif cance. (GVB) #29.2.195

Yor, Marc. Le Mouvement Brownien: Quelques Développements de 1950 à 1995, in Jean-Paul Pier, ed., Deve-
lopment of Mathematics 1950–2000, Basel: Birkhäuser, 2000, pp. 1187–1202. A survey of developments in the
theory of Brownian motion, concentrating especially on the multiple points and the geometry of Brownian motion



230 ABSTRACTS HMAT 29

on R2 and on attempts to def ne a meaningful self-avoiding Brownian motion. See the review by F. B. Knight in
Mathematical Reviews 2001k:60116. (GVB) #29.2.196

Yuan, Min. A Comparative Study Between the Indian Sine Table and the Tangent Table of the Buddhist Monk
Yi Xing [in Chinese], Journal of Northwest University 30 (5) (2000), 446–449. Concludes that the tangent table
of the Chinese 8th-century Buddhist monk Yi Xing did not rely on the Indian sine table in the Jiuzhi Calendar.
(GVB) #29.2.197

Zayed, Ahmed I. See #29.2.34.

Zerner, M. See #29.2.66.

Zhedanov, Alexei. See #29.2.97.

Zitarelli, David E. EPADEL: A Semisesquicentennial History, 1926–2000, Elkins Park, PA: Raymond-Reese
Book Co., 2001, paperbound, 210 pp. A history of one of 29 sections of the Mathematical Association of America,
viewed as a microcosm of the American mathematical community in the 20th century. (DEZ) #29.2.198