PII: 0315-0860(79)90121-6


98 Abstracts #951-1047 HM6 

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HM6 Abstracts #951-960 99 

CLAGETT MARSHALL editor 1978 ARCHIMEDES in the middle ages. Volume 3: The fate 
of the medieval Archimedes 1300 to 1565. Vol. 125, Memoirs of the American Philoso- 
phical Society. Philadelphia, (The American Philosophical Society). 4 parts in 3 
vols. (1582 PP). Part I: The Moerbeke translations at Paris in the fourteenth 
century. Part II: The Arabo-Latin and handbook traditions of Archimedes in the 
fourteenth and early fifteenth centuries. Part III: The medieval Archimedes in the 
Renaissance, 1450-1565. Part IV: Appendixes, bibliography, diagrams, and indexes. 
Earlier volumes abstracted in #302. This volume concludes the author's "direct 
investigation" of Archimedean traditions in the Middle Ages. (ACL). #951 -. 

HBYRUP ELSE 1978 WOMEN AND MATHEMATICS, sciences and engineering, a partially 
annotated bibliography with emphasis on mathematics and with references on related 
topics. Skriftserie fra Roskilde Universitetsbibliotek 4. Denmark (Roskilde 
University Library). 62 PP. Approximately 350 authors are represented, subject 
arranged with an author index. The address of the author, who is continuing this 
work, is: Bdgevej 8, DK 3500 Vaerldse, Denmark. (ACL). J952. 

ABBOTT J C 1978 The CHAUVENET PAPERS: A collection of prize-winning expository 
papers in mathematics. The Mathematical Association of America. 2 vols. A history 
of the CHAUVENET PRIZE is given. Each of the 24 papers is preceded by a short account 
of the author. (ACL). #953. 

POVZI? JOfE 1978 Bibliografija Franca Horevarja; FRANC HOFEVAR--BIBLIOGRAPHY. 
Ljubljana, Yugoslavia (Slovenska Akademiia Znanosti in Umetnosti). 35 PP. A 3-page 
introduction to the life and work of Horevar, 1853-1919, is given, also in English. 
The bibliography includes his 20 major works and nearly 200 different editions of 
his textbooks in mathematics. Portrait. (ACL). t-954. 

ISTORIKO-MATEMATICHESKIE ISSLEDOVANIYA 1977 Vol. 22. Moscow (Nauka). 304 pp. 
The volume includes 23 articles, memoirs and translations, and a name index. 
Individual articles are abstracted below. (ERP). #955. 

KORENTSOVA M M 1977 Kinematiko-geometricheskaya model analiza v "Traktate o 
Fluksiyakh" K. Maklorina 

In #955 g-33.'" k' 
inematic-geometric model in Maclaurin's "Treatise on 

Fluxions"). 
in "A Treatise oniXIONS," 

C. MACLAURIN's geometric-synthetic method as presented 
and its role in the development of INFINITESIMAL 

ANALYSIS. The method is related to other theories of infinitesimals in particular 
to the DIFFERENTIAL CALCULUS of W. LEIBNIZ. (ERP). #956. 

ZHURVASKII A M 1977 K istorii ryada Lagranzha (On the history of LAGRANGE's series). 
In #955, 34-45. In 1769 Lagrange introduced series in attempting to solve equations. 
Subsequent related investigations made by J. LAMBERT, A. CAUCHY, P. CHEBYSHEV, and 
his students, E. ZOLOTAREV, Y. SOKHOTSKII and P. NEKRASOV, are described. (ERP). 

#957. 

GERONIMUS Y A 1977 K istorii kvadraturnoi formuly P.L. Chebysheva (On the history 
of Chebyshev's quadrature formulas). In #955, 46-64. The QUADRATURE FORMULA of 
P. CHEBYSHEV (1874) and related investigations and applications (up to 1972). 
GAUSS-CHRISTOFFEL formulas, A.N. KRYLOV and shipbuilding, S.N. BERNSTEIN, N.I. 
AKHIEZER, ORTHOGONAL POLYNOMIALS. (ERP). #958. 

GOLOVINSKII I A 1977 Iz istorii interpolyntsionykh ryadov (From the history of 
INTERPOLATION SERIES). In #m, 65-81. A survey of interpolation methods up to the 
beginning of the 19th century. Series introduced by I. NEWTON, B. TAYLOR, P. LAPLACE 
and N. ABEL and their consideration by other mathematicians, such as J. LAGRANGE and 
L. EULER. (ERP). #959. 

KURDYUMOVA A I 1977 Ekstraordinarnye integraly Koshi (The EXTRAORDINARY INTEGRAL of 
CAUCHY). In #955, 82-84. This integral was first introduced in an attempt to extend 
the definition of the GAMMA-FUNCTION to negative values of the argument. It is seen 
as a precursor of the 20th century concept of a GENERALIZED FUNCTION. (ERP). #960. 

LYUSTERNIK L A & PETROVA S S 1977 Iz istorii simbolicheskovo ischisleniya (From the 
history of symbolic calculus). In #955, 85-101. The works of French mathematicians 
of the late 18th and early 19th centuries on operations induced by differentiation. 



100 Abstracts #961-973 HM6 

LINEAR DIFFERENTIAL EQUATIONS, FINITE DIFFERENCES. J. LAGRANGE, P. LAPLACE, L. 
ARBOGAST, B. BRISSON, F. SERVOIS, A. CAUCHY, and D. GREGORY. (ERP). #961. 

REIZIN L E 1977 Iz istorii obshchei teorii obyknovennykh differentsialnykh 
uravnennii (On the history of the theory of ordinary differential equations). In 
#955, 102-110. Differentiability and continuity of solutions of DIFFERENTIAL EQUA- 
TIONS with respect to parameters and initial conditions. Extension of solutions. 
Non-integral contractions and expansions of manifolds. P. BOHL, F. SCHUR, G. PEANO, 
V. STEPANOV, H. POINCARE, 0. PERRON, C. SIEGEL, G. BIRKHOFF, and others. (ERP). 

#962. 

VISGIN V P 1977 Vzaimosvyaz fiziki i matematiki v XIX veke (The relationship 
between physics and mathematics in the 19th century). In #955, 11-126. Broad 
survey including a chronological chart listing the major results in PHYSICS and their 
corresponding influence on mathematics. (ERP). #963. 

YUSHKEVICH A P 1977 0 matematicheskikh rukopisyakh I. Nyutona (On the mathematical 
manuscripts of I. Newton). In #955, 127-192. An analysis of the published mathematical 
works (1664-1684) of I. NEWTON, based mainly on the recently published D. WHITESIDE 
edition. (ERP). #964. 

MELNIKOV I G 1977 Metod beskonechnovo spuska (The METHOD of INFINITE DESCENT). In 
#955, 193-199. Examples found in the works of EUCLID, 3. CAMPANUS, P. FERMAT, L. 
EULER, and others. (ERP). #965. 

MAISTROV L E 1977 0 veroyatnostmoi kontseptsii Pascalya u A. Reni (On Pascal's 
concept of probability, according to A. RBnyi). In #955, 200-211. Objections are 
raised to A. RENYI's reconstruction of a non-existing letter from B. PASCAL to P. 
FERMAT on the subject of PROBABILITY. Pascal's conception of PROBABILITY. (ERP). 

#966. 

SHEINEN 0 B 1977 Teoriya veroyatnostei P.S. Laplasa (Laplace's theory of probability). 
In #955, 212-224. LAPLACE's contributions to the general theory of PROBABILITY, his 
philosophical DETERMINISM, probabilistic ideas in physics. (ERP). #967. 

YURKINA M I 1977 Vklad Eilera i Gaussa v reshenie zadach o schete vysot (The 
contributions of EULER and GAUSS to the solution of the problem of calculating altitude) 
In #955, 225-228. Theory of POTENTIAL. GEODESY. (ERP). #968. 

SLAVUTIN E I 1977 0 "Dannykh" Evklida (EUCLID's "DATA"). In #955, 229-236. The 
first 23 problems in the DATA, stated by Euclid in the language of the THEORY OF 
PROPORTIONS, are translated into the language of linear functions. (ERP). $969. 

SIMONOV R A 1977 0 formirovanii drevnerusskoi numeratsii (On the development of 
NUMERATION in medieval Russia). In #955, 237-241. The replacement of Byzantine signs 
by Cyrillic letters to designate numbers. (ERP). #970. 

ALEKSANDROV P S 1977 Vospominaniya o Gettingene (Recollections of GGTTINGEN). In 
#955, 242-244. An account by the noted topologist of his visits to Gtlttingen 
throughout the 1920s and 193Os, and again after the war. D. HILBERT, E. NOETHER, H. 
HOPF, A. KUROSH. (ERP). #971. 

GELFOND A 0 1977 Nekotorye vpechatleniya o nauchnoi poezdke v Germaniyu v 1930 g 
(Some impressions of a scientific trip to Germany in 1930). In #955, 246-251. Among 
those in GOTTINGEN at that time were D. HILBERT, H. WEYL, R. COURANT, E. LANDAU, E. 
NOETHER, B. L. VAN DER WAERDEN, E. ARTIN, H. HAASE, K. FRIEDRICHS, H. LEVI, 0. 
NEUGEBAUER, and many others! (ERP). #972. 

SHTYKAN A B 1977 0 nekotorykh voprosakh istorii matematicheskovo analiza i 
evolyutsii sredstv vychislenii (Some questions in the history of ANALYSIS and the 
evolution of the methods of CALCULATION). In #955, 252-273. Discoveries made by 
I. NEWON, C. HUYGENS, W. LEIBNIZ, and the BERNOULLI brothers in the area of 
QUADRATURES and CUBATURES and their role in the development of the INFINITESIMAL 
CALCULUS. The author claims that these discoveries have not been taken into account 
in the generally accepted histories of this subject. BIBLIOGRAPHY. (ERP). #973. 



HM6 Abstracts #974-985 101 

LEIBNIZ G W 1977 Supplementurn geometriae dimensoriae, seu generalissima omnium 
tetragonismorum effectio per motum, similiterque multiplex constructio lineae ex 
data tangentium conditione (translated into Russian and annotated by A.B. SHTYKAN). 
In #955, 274-285. Written in 1693, this paper contains a description of a mechanical 
scheme related to the process of integration. It is discussed in #973. (ERP). 

#974. 

HUYGENS C 1977 Pismo k avtoru (A letter to the author). In E, 286-288. Translated 
by A.B. Shtykin, with notes. MECHANICAL METHOD for tracing a TRACTRIX. This letter 
is discussed in #973. (ERP). #975. 

BERNOULLI JOH. 1977 Solutio problematis Cartesio propositi Dn. de Beaune (transla- 
ted from the Latin by A.B. Shtykan and O.A. Petrova, with notes). In #955, 289-291. 
ISOCLINE curves. Discussed in #973. (ERP). #9?6. 

BERNOULLI JAC. 1977 Solutio problematis Fraterni ante octiduum Lipsiam transmissi 
(translated from the Latin by A.B. Shtykan, with notes). In #955, 292-294. A 
mechanism is described for a geometric construction of a curve if properties of the 
tangent are given. Discussed in #973. (ERP). #977. 

DIOPHANTUS 1975 Sina't al-Gabr 1'Diophantus (The art of algebra by Diophantus). 
Cairo: L'Organisme Egyptien du Livre. 253 pp. Contains the text of DIOPHANTUS' four 
books of arithmetic, the only known translation of which is this Arabic one of the 
10th century. Roshdi Rashed, the editor, also provides an introduction. See the 
critical review in Isis 68, 627-630. (ACL). #978. 

TARWATER DALTON editor 1977 The bicentennial tribute to American mathematics, 
1776-1976. Papers presented at the fifty-ninth annual meeting of the Mathematical 
Association of America commemorating the nation's Bicentennial. (Math. Assoc. of 
America). 225 pp. Seven major papers in history of AMERICAN MATHEMATICS are presented. 
Those not previously published elsewhere and abstracted are abstracted below. The 
historical papers are followed by proceedings of panel discussions ana a brief account 
of the last 10 years of TWO-YEAR COLLEGE MATHEMATICS. (ACL). $979. 

GRABINER JUDITH V 1977 Mathematics in America: The first hundred years. In #979, 
9-24. The factors in AMERICAN MATHEMATICS, 1776 to 1886, are described which led to 
a mature mathematical community by the 1890s. (ACL). #980. 

BIRKHOFF GARRETT 1977 Some leaders in AMERICAN MATHEMATICS: 1891-1941. In #979, 
25-78. An account of some 40 mathematicians is given in the context of the growth of 
American mathematics. Of special value are the recollections, some recorded here for 
the first time, of the author's own experiences and of his father G.D. BIRKHOFF. 
(ACL). #981. 

REES MINA S 1977 Mathematics and the GOVERNMENT: The post-war years as augury of 
the future. In #979, 101-116. Emphasis is given in this account to the beginnings 
of substantial government support of mathematical research principally through the 
Office of Scientific Research and Development, and the Office of Naval Research whose 
Mathematics Branch the author headed. (ACL). #982. 

HAMMING R W 1977 The history of COMPUTING in the United States. In #979, 117-128. 
With some historiographical remarks, a chronological account is given of the "hardware," 
"software," and uses of computers from the nineteenth century to the present. (ACL). 

#983. 

LAX PETER D 1977 The bomb, Sputnik, computers, and European mathematicians. In 
#979, 129-135. The items listed in the title are, in the author's opinion, "the 
principal tangible causes" of the changes in AMERICAN MATHEMATICS, 1940-1960. The 
author also remarks, from a refugee's point of view, on the effect of the periods of 
antisemitism and McCarthyism. (ACL). U984. 

RASHED ROSHDI 1974 Les travaux perdus de Diophante (I). Revue d'Histoire des 
Sciences 27, 97-122. The discovery of the four books of DIOPHANTUS' Arithmetic in 
Arabic translation causes a reconsideration of the author and his works. The first 
book is presented here. (ACL). #985. 



102 Abstracts #986-1002 HM6 

RASHED ROSHDI 1975 Les travaux perdus de Diophante (II). Revue d'Histoire des 
Sciences 28, 3-30. A continuation of #985 the remaining three books are here 
presented. (ACL). t98.5. 

MACK J M 1974 Those numbers and e. Australian Mathematics Teacher 30, 97-105. 
Based on a talk given to students. (ACL). #987. 

WATSON JANE M 1974 Three WOMEN of mathematics. Australian Math Teacher 30, 
153-160. HYPATIA, M.G. GANESI, EMMY NOETHER. (ACL). #988. 

BERGHOUT R F 1974 The historical development of magnitudes, ratios, and proportions. 
Australian Math Teacher 30, 184-196. GREEK MATHEMATICS. (ACL). #989. 

MACDONALD I D 1976 Modern ALGEBRA in the nineteenth century. Australian Math 
Teacher 32, 33-38. (ACL). #QQO. 

MONRO G P 1976 HILBERT and GGDEL: The recent history of the AXIOMATIC METHOD. 
Australian Math Teacher 32, 103-106. (ACL) . #991. 

JAIN B S 1977 On the GANITA-SARA-SAMGRAHA of MAHAVIRA (ca. 850 A.D.). Indian 
Journal of History of Science 12, 17-32. INDIAN, JAINA MATHEMATICS. A commentary on 
this algebraic and geometrical treatise. (ACL). #992. 

BAG A K 1977 The method of integral solution of INDETERMINATE EQUATIONS of the type: 
BY = Ax + C in ancient and medieval INDIA. Indian Journal of History of Science 12, 
1-16. ARYABHATA I (476 AD). CONTINUED FRACTIONS. Passages in Sanskrit with English 
translation are given of the Karanapaddhati (1596 AD?). (ACL). #993. 

BEHARI RAM & JAIN B S 1977 Some mathematical contributions of ANCIENT INDIAN MATH- 
EMATICIANS as given in the works of BHASKARACARYA II (12th century A.D.). Indian 
Journal of History of Science 12, 45-56. Emphasis is given to the cyclic method for 

solving the quadratic equation, &'x2 + x = Y’. (ACL). #994. 

JAIN L C 1977 Divergent sequences locating TRANSFINITE SETS in TRILOKASARA. Indian 
Journal of History of Science 12, 57-75. A Prakit text of the 11th century A.D. is 
described which parallels the program of G. CANTOR and ZERMELO, that was opposed by 
BOREL, BAIRE, and LEBESGUE, with respect to well-ordered sequences. (ACL). #995. 

BORGWANDT HEIDEMAIRE 1975 Die historische Entwicklung der Funktionanalysis zu einer 
selbstxndigen mathematischen Disziplin. NTM Z. Gesch. Naturwiss. Tech. Med. 12, I-11 
(The historical development of FUNCTIONAL ANALYSIS into an independent mathematical 
discipline.) CB 102, 211. (ACL). #996. 

MAINZER KLAUS 1976 Das BegrUndungsproblem des mathematischen Kontinuwns in der 
neuzeitlichen Entwicklung der Grundlagenforschung. Philosophia Naturalis 16, 125-137. 
(The foundational problem of the mathematical CONTINUUM in the modern development of 
research in foundations.) CB 102, 224. (ACL). #997. 

DIBBLE WILLIAM E 1976 A possible PYTHAGOREAN TRIANGLE at Stonehenge. J. History of 
Astronomy 17, 141-142. CB 102, 689. (ACL). #998. 

BRUINS EVERT M 1975 The part in ancient EGYPTIAN mathematics. Centaurus 19, 241-251 
CB 102, 699. (ACL). #999. 

PARKER RICHARD A 1975 A mathematical exercise: p. Dem. Heidelberg 663. J. of 
Egyptian Archaeology 61, 189-196. CB 102, 701. (ACL) . #lOOO. 

SESIANO JACQUES 1975 The Arabic text of Books IV to VII of DIOPHANTUS' Arithemtica 
in the translation of Qustl Ibn Ldql, with translation and commentary. 438 pp. 
Dissertation at Brown University, 1975. (Dissertation Abstracts 37: 555-A. Order 
No. 76-15, 709). (ACL). #lOOl. 

GUINIVEN JOHN J 1975 Mathematical ontology in ARISTOTLE. 154 pp. Dissertation at 
the Univ. of Massachusetts. (Dissertation Abstracts 36: 6144-A, Order No. 76-5338.) 
(ACL). #1002. 



HM6 Abstracts #1003-1019 103 

KAYAS GEORGES J 1976 Aristote et les gt%m&ries non-euclidiennes avant et aprbs 
Euclide. Revue des Questions Scientifiques 147: 175-194, 281-301. (ARISTOTLE and 
NON-EUCLIDEAN GEOMETRY before and after Euclid.) CB 102, 778. (ACL). #1003. 

McCLAIN ERNEST G 1974 Musical "marriages" in PLATO's Republic. Journal of Music 
Theory 18, 242-272. MATHEMATICAL ACOUSTICS. CB 102, 782. (ACL) #1004. 

STAMATAKOS BESS MAKRIS 1975 PLATO's THEORY OF NUMBERS. Dissertation at Michigan State 
Univ. 163 pp. (Dissertation Abstracts 36: 8117-A. Order No. 76-12527.) (ACL). 

#1005. 

WHITE F C 1975 PLATO on GEOMETRY. Apeiron 9, 5-14. CB 102, 800. (ACL). #1006. 

FREGUGLIA PAOLO 1974 Dsservazioni sul procedimento di Leonardo Pisano per la 
determinazione di Cultura e Scuola 13, 209-221. CB 102, 914. FIBONACCI. PI. (ACL). 

#1007. 

WAGNER DONALD B. 1975 Proof in ANCIENT CHINESE MATHEMATICS: LIU HUI on the volumes 
of rectilinear solids. Dissertation at University of Copenhagen. 73 pp. CB 102, 
1038. (ACL). #1008, 

COUMET ERNEST 1975 Cryptographie et numerations. Annales: Economies, Socie'tes, 
Civilizations 30, 1007-1027. CRYPTOGRAPHY. CB 102, 1119. (ACL). #1009. 

MARGOLIN JEAN-CLAUDE 1976 L'enseignement des mathematiques en France (1540-1570): 
Charles de Bovelles, Fine, Peletier, Ramus. P., 109-155 in Peter Sharratt (ed.) 
French Renaissance studies 1540-70. Edinburgh (Univ. Edinburgh Press). CAROL1 BOVILLUS 
ORONCE FINE. JACQUES PELETIER. PETRUS RAMUS. CB 102, 1132. (ACL). #lOlO. 

ROSS1 FRANCESCO SAVER10 1974 LEONARDO DA VINCI, studioso e ricercatore delle 
matematiche. Cultura e Scuola 13, 231-247. CB 102, 1149. (ACL). #loll, 

ROSS1 FRANCESCO SAVER10 1974 Nicolb Copernico, Matematica: La sua trigonometria 
sferica. Cultura e Scuola 13, 421-436. NICOLAUS COPERNICUS. CB 102, 1150. (ACL). 

#1012. 

VEDRINE H 1976 L'obstacle realiste en mathematiques chez dew philosophes du XVIe 
siecle: Bruno et Patrizi. Pp. 239-248 in Platon et Aristote a la Renaissance. 
Paris (Vrin). GIORDANO BRUNO. FRANCESCO PATRIZZI. CB 102, 1154. (ACL). #1013. 

WALKER D P 1976 La tradition math&aatico-musicale du platonisme et les debuts de la 
science moderne. Pp. 249-260 in Platen et Aristote a la Renaissance. Paris (Vrin). 
PLATONISM. MIJSIC. CB 102, 1157. (ACL). u1014. 

EARMAN JOHN 1975 Infinities, infinitesimals, and indivisibles: The Leibnizian 
labyrinth. Studia Leibnitiana 7, 236-251. G W LEIBNIZ. CB 102, 1395. (ACL) . 

#lOlS. 

MILLER LARRY W 1975 KANT's PHILOSOPHY OF MATHEMATICS. Kant-Studien 66, 297-308. 
CB 102, 1404. (ACL). #1016. 

MILLIKEN STEPHEN F 1974 BUFFON's Essai d'arithmetique morale. Pp 197-206 in 
John Pappas (ed.) Essays on Diderot and the Enlightenment, in honor of Otis Fellows. 
(Histoire des idles et critique litteraire, 140.) Geneva (Droz). CB 102, 1405. (ACL). 

#1017. 

KENNEDY HUBERT 1978 Marx's mathematical manuscripts. Science and Nature 1, 59-62. 
KARL MARX. Annotated BIBLIOGRAPHY of the published manuscripts and 14 works about 
them. (ACL). #1018. 

LUTZ L et al. editors 1978 Lexikon des Mittelalters, Bd. 1 agypten-Almohaden. 
MUnchen/ZUrich: Artemis Verlag. pp. 225-447. The second fascicle; for the first 
see #?99. (ACL). #1019. 



104 Abstracts # 1020-1032 HM6 

SCHELLHAS WALTER 1975 Der Rechenmeister Adam Ries (1492 bis 1559) und der Bergbau. 
NTM-Schriftenr. Gesch. Naturwiss., Technik, Med. 12, 14-37. ADAM RIESE. Riese’s 
work in MINING, 1524 to 1559, is presented with a bibliography of unpublished and 
published sources. (ACL) . #1020. 

ECCARIUS WOLFGANG 1975 Der Techniker und Mathematiker August Leopold Crelle 
(1780-1855) und sein Beitrag zur Ftirderung und Entwicklung der Mathematik im 
Deutschland des 19. Jahrhunderts. NTM-Schriftenr. Gesch. Naturwiss., Technik, 
Med. 12, 38-49. (The engineer and mathematician AUGUST LEOPOLD CRELLE and his 
contribution to the support and development of mathematics in Germany in the 19th 
century.) (ACL). #1021. 

BIERMANN KURT-R 1977 C.F. GAUSS in seinem Verhgltnis zur britischen Wissenschaft 
end Literatur. NTM-Schriftenr. Gesch. Naturwiss., Technik, Med. 14, 7-15. (CARL 
FRIEDRICH GAUSS in his relation to British science and literature.) (ACL). ff1022. 

WATTENBERG, DIEDRICH 1977 Eine Totenmaske Isaac Newtons? NT?&Schriftenr. Gesch. 
Naturwiss., Technik, Med. 14, 43-46. (A death mask of ISAAC NEWTON?) (ACL). #1023. 

PAS PETER W. VAN DER 1975 Japanese students of mathematics at the University of 
Leiden during the Sakoku period. Japanese Studies in the Hist. of Science 14, 
109-116. JAPAN. LEIDEN. CB 102, 1410. (ACL). #1024. 

ROSS RICHARD P 1975 The SOCIAL AND ECONOMIC CAUSES of the revolution in the 
mathematical sciences in midnineteenth century ENGLAND. Journal of British Studies 
15, 46-66. CB 102, 1413. (ACL). #1025. 

SCHNEIDER IV0 1974 Beziehung zwischen mathematischer Praxis und reiner Mathematik 
im 17. Jh. Actes XIIIe Gong. Int. Hist. Sci., 1971, 5, 33-40. (Relation between 
practical mathematics and pure mathematics in the 17th CENTURY.) CB 102, 1414. (ACL) . 

#1026. 

SPRINGER VERLAG 1978 MATHEMATICS CALENDAR 1979. A large format, colored, decora- 
tive calendar selling for $7.50. One topic is illustrated and described for each 
month, from Sinai’s billiard to Omar Khayyam. (ACL) . #1027. 

VITA VINCENZO 1975 Gli Elements des coniques di BLAISE PASCAL. Cultura e Scuola 
14, 186-200. CB 102, 1418. (ACL) . #1028. 

YAGLOM I M 1977 FELIX KLEIN and SOPHUS LIE [In Russian]. (Mathematics and 
Cybernetics, No. 11) Moscow (Znanie). 64 pp. The author describes the interaction 
between schools of geometric thought in late 19th and early 20th centuries. 
GALOIS THEORY. B. RIEMANN. K. WEIERSTRASS. LEJEUNE-DIRICHLET. A F MGBIIJS. J. 
STEINER. C.G.J. JACOBI. A. CAYLEY. (Samuel Katz). #1029. 

WEXELBLATT RICHARD editor 1978 Preprints: History of Programming Languages 
Conference. ACM SIGPLAN Notices 13(8), xi + 310 pp. The Conference was held in Los 
Angeles, June 1-3, 1978. This volume includes a summary of each language presented 
as well as the historical papers themselves: ALGOL 60 (PERLIS, A., and NAUR, P.); 
APL (FALKOFF, A.D., and IVERSON, K.E.); APT (ROSS, D.T.); BASIC (KURTZ, T.E.); 
COBOL (SAMMET, J.E.); FORTRAN (BACKUS, J.); GPSS (GORDON, G.); JOVIAL (SCHWARTZ, J.I.); 
LISP (MCCARTHY, J.); PL/I (RADIN, G.); SIMULA (NYGAARD, K., and DAHL, O.-J.); and 
SNOBOL (GRISWOLD, R. E.). (H.S. Tropp). #1030. 

DAHL AUBREY 1978 The Last of the first. Datamation 24(6), 145-149. A UNIVAC II 
with its “5200 vacuum tubes, 18,000 chrystal diodes, 184,000 magnetic cores, 
hundreds of feet of plumbing, and countless miles of wires,” finally retired after 
18 years of work. COMPUTERS. (H.S. Tropp). ff1031. 

LIBES SOL 1978 The first ten years of amateur computing. Byte 3(7), 64,66,68,70-71. 
Begins with the founding of the AMATEUR COMPUTING SOCIETY and its Newsletter. COMPU- 
TERS. MICROPROCESSORS, PHOTOGRAPHS. (H.S. Tropp). #1032. 

ROARK ANNE C 1978 The mathematician who may be this century’s greatest. The 
Chronicle of Higher Education 17(l), I-10, 11 (Sept. 5). Popular sketch of CHARLES 



HM6 Abstracts #1033-1047 105 

FEFFERMAN, 1978 FIELDS MEDALIST. FOURIER ANALYSIS. AWARDS (H.S. Tropp). #1033. 

MCALLISTER BYRON L 1978 Hyperspaces and multifunctions, the first half century 
(1900-1950). Nieuw Archief voor Wiskunde (3) 26, 309-329. "A function f that 
assigns to each element of a give set X a subset (sometimes possibly empty) of a 
given set Y is called a multifunction from x into-y." TOPOL?%Y. CONVERGENCE. 
POMPEIU D. HAUSDORFF F and his METRIC for sets. VIETORIS L. KURATOWSKI K. TIKHONOV 
A. BIBLIOGRAPHY of 65 items. (Leroy F. Meyers). #1034. 
. . 

LUTZEN JESPER 1978 Funktionsbegrebets udvikling fra Euler til Dirichlet (The 
development of the concept of function from Euler to Dirichlet). Nordisk Matematisk 
Tidskrift 25/26. 5-32 IEnelish summary on D. 56). In Danish. Whv the modern 
definition of FUNCTION‘as-correspondence was so'late in replacing EULER's definition 
as an analytic expression. VIBRATING STRING. D'ALEMBERT. .LAGRANGE. LACROIX S F. 
FOURIER SERIES. CUACHY. DIRICHLET. (Leroy F. Meyers). #1035. 

ALEKSANDROV P S et al. 1977 Il'ya Nestorovich Vekua (on his seventieth birthday). 
Russian Math. Surveys 32 (2), 1-21. VEKUA, I.N., BIOGRAPHY, BIBLIOGRAPHY. ELLIPTIC 
FUNCTIONS. GENERALIZED ANALYTIC FUNCTIONS. THEORY OF SHELLS. (D.E. Kullman). 

#1036. 

BOGOLYUBOV N N et al. 1977 Yurii Alekseevich Mitropol'skii (on his sixtieth birth- 
day). Russian Math. Surveys 32 (l), 157-170. MITROPOL'SKII, YU. A., BIOGRAPHY, 
BIBLIOGRAPHY. DIFFERENTIAL EQUATIONS. NON-LINEAR SYSTEMS. (D.E. Kullman). #1037. 

VOL'PERT A I et al. 1977 Yaroslav Borisovich Lopatinskii (on his seventieth birth- 
day). Russian Math. Surveys 32 (l), 151-155. LOPATINSKII, YA. B., BIOGRAPHY, 
BIBLIOGRAPHY. DIFFERENTIAL EQUATIONS. (D.E. Kullman). #1038. 

BARON S A et al. 1977 In memory of Gunnar Fromkholdovich Kangro. Rusian Math. 
Surveys 32 (l), 149-150. KANGRO, G.F., OBITUARY. SUMMABILITY. (D.E. Kullman). 

#1039. 

KURATOWSKI K & BORSUK K 1978 One hundred volumes of "Fundamenta Mathematicae." 
Fundamenta Math. 100 (1). l-8. XX. POLISH SCHOOL OF MATHEMATICS. The editors give 
a brief history of this prominent MATHEMATICS JOURNAL and the culture which nurtured 
it. Tabular summaries of authors by nationality and of papers by language and topic. 
(D.E. Kullman). #1040. 

BASHMAKOVA I G et al. 1977 Adol'f Pavlovich Yushkevich (on his seventieth birth- 
day). Russian Math. Surveys 32 (3), 145-153. YUSHKEVICH, A. P., BIOGRAPHY, 
BIBLIOGRAPHY. HISTORIAN OF MATHEMATICS. HISTORIOGRAPHY. (D.E. Kullman). #1041. 

VLADIMIROV V S et al. 1977 Aleksei Fedorovich Leont'ev (on his sixtieth birthday). 
Russian Math. Surveys 32(3), 131-144. LEONT'EV, A. F., BIOGRAPHY, BIBLIOGRAPHY. 
ANALYTIC FUNCTIONS. FUNCTIONAL ANALYSIS. (D.E. Kullman). #1042. 

ALEKSANDROV P S et al. 1977 Vladimir Aleksandrovich Andrunakievich (on his sixtieth 
birthday). Russian Math. Surveys 32 (4), 245-251. ANDRUNAKIEVICH, V. A., BIOGRAPHY, 
BIBLIOGRAPHY. RING THEORY. (D.E. Kullman). #1043. 

ARKHANGEL'SKII A V et al. 1976 Pave1 Sergeevich Aleksandrov (on his eightieth 
birthday). Russian Math. Surveys 31 (S), 1-13. ALEKSANDROV, P. S., BIOGRAPHY, 
PORTRAIT. GENERAL TOPOLOGY. HOMOLOGY THEORY. (D.E. Kullman). #1044. 

ALEKSANDROV P S et al. 1976 Oleg Nikolaevich Golovin (on his sixtieth birthday). 
Russian Math. Surveys 32 (4), 221-225. GOLOVIN, 0. N., BIOGRPAHY, BIBLIOGRAPHY. GROUP 
THEORY. (.D.E. Kullman). #1045. 

ALEKSANDROV P S et al. 1976 In memory of Sergei Vasilovich Fomin. Russian Math. 
Surveys 31 (4), 205-220. FOMIN, S. V., BIOGRAPHY, BIBLIOGRAPHY. GENERAL TOPOLOGY. 
ERGODIC THEORY. GLOBAL ANALYSIS. MATHEMATICAL BIOLOGY. (D.E. Kullman). #1046. 

LITVINCHUK G S et al. 1976 Fedor Dmitrievich Gakhov (on his seventieth birthday). 
Russian Math. Surveys 31 (4), 227-237. GAKHOV, F.D., BIOGRAPHY, BIBLIOGRAPHY. BOUNDARY 
VALUE PROBLEMS. INTEGRAL EQUATIONS. (D.E. Kullman). #1047.