Landmark Writings in Western Mathematics 1640-1940 (Google eBook)

Front Cover
Ivor Grattan-Guinness
Elsevier, Feb 11, 2005 - Mathematics - 1040 pages
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This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the circumstances of the preparation of the writing are given. When the writing is of some lengths an analytical table of its contents is supplied. The contents of the writing is reviewed, and its impact described, at least for the immediate decades. Each article ends with a bibliography of primary and secondary items.

· First book of its kind
· Covers the period 1640-1940 of massive development in mathematics
· Describes many of the main writings of mathematics
· Articles written by specialists in their field
  

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Contents

41 Stanley Jevons The theory of political economy first edition 1871
534
42 Felix Kleins Erlangen Program Comparative considerations of recent geometrical researches 1872
544
43 Richard Dedekind Stetigkeit und irrationale Zahlen 1872
553
44 James Clerk Maxwell A treatise on electricity and magnetism first edition 1873
564
45 JW Strutt Third Baron Rayleigh The theory of sound first edition 18771878
588
46 Georg Cantor paper on the Foundations of a general set theory 1883
600
47 Richard Dedekind 1888 and Giuseppe Peano 1889 booklets on the foundations of arithmetic
613
48 Henri Poincaré memoir on the threebody problem 1890
627

9 Daniel Bernoulli Hydrodynamica 1738
131
10 Colin MacLaurin A treatise of fluxionsA treatise of fluxions 1742
143
11 Jean Le Rond DAlembert Traité de dynamique 1743 1758
159
12 Leonhard Euler book on the calculus of variations 1744
168
13 Leonhard Euler Introduction to analysis 1748
181
14 Leonhard Euler treatise on the differential calculus 1755
191
15 Thomas Bayes An essay towards solving a problem in the doctrine of chances 1764
199
16 Joseph Louis Lagrange Méchanique analitiqueMéchanique Analitique Lagranges first edition 1788
208
17 Gaspard Monge Géométrie descriptive first edition 1795
225
18 PS Laplace Exposition du système du monde first edition 1796 Traité de mécanique céleste 179918231827
242
19 Joseph Louis Lagrange Théorie des fonctions analytiques first edition 1797
258
20 SF Lacroix Traité du calcul différentiel et du calcul intégral first edition 17971800
277
21 JeanEtienne Montucla Histoire des mathématiques second edition 17991802
292
22 Carl Friedrich Gauss Disquisitiones arithmeticae 1801
303
23 Carl Friedrich Gauss book on celestial mechanics 1809
316
24 PS Laplace Théorie analytique des probabilités first edition 1812 Essai philosophique sur les probabilités first edition 1814
329
25 AL Cauchy Cours danalyse 1821 and Résumé of the calculus 1823
341
26 Joseph Fourier Théorie analytique de la chaleur 1822
354
27 Jean Victor Poncelet Traité des propriétés projectives des figures first edition 1822
366
28 AL Cauchy two memoirs on complexvariable function theory 1825 1827
377
29 Niels Henrik Abel paper on the irresolvability of the quintic equation 1826
391
30 George Green An essay on the mathematical analysis of electricity and magnetism 1828
403
31 CGJ Jacobi book on elliptic functions 1829
412
32 Hermann G Grassmann Ausdehnungslehre first edition 1844
431
33 Karl Georg Christian von Staudt book on projective geometry 1847
441
34 Bernhard Riemann thesis on the theory of functionscomplex function theory of a complex variablefunction of a complex variable 1851
448
35 William Rowan HamiltonHamilton Lectures on quaternionsLectures 1853
460
36 George Boole An investigation of the laws of thought on which are founded the mathematical theory of logic and probabilities 1854
470
37 Johann Peter Gustav LejeuneDirichlet Vorlesungen über Zahlentheorie first edition 1863
480
38 Bernhard Riemann posthumous Thesis on the representation of functions by trigonometric series 1867
491
39 Bernhard Riemann posthumous thesis On the hypotheses which lie at the foundation of geometry 1867
506
40 William Thomson and Peter Guthrie Tait Treatise on natural philosophy first edition 1867
521
49 Oliver Heaviside Electrical papers 1892
639
50 Walter William Rouse Ball Mathematical recreations and problems of past and present times first edition 1892
653
51 Alexandr Mikhailovich Lyapunov thesis on the stability of motion 1892
664
52 Heinrich Hertz posthumous book on mechanics 1894
677
53 Heinrich Weber Lehrbuch der Algebra 18951896
690
54 David Hilbert report on algebraic number fields Zahlbericht 1897
700
55 David Hilbert Grundlagen der Geometrie first edition 1899
710
56 Karl Pearson paper on the chi square goodness of fit test 1900
724
57 David Hilbert paper on Mathematical problems 1901
732
58 Lord Kelvin Baltimore lectures on mathematical physics 1884 1904
748
59 Henri Lebesgue and René Baire three books on mathematical analysis 19041906
757
60 HA Lorentz Lectures on electron theory first edition 1909
778
61 AN Whitehead and Bertrand Russell Principia mathematica first edition 19101913
784
62 Federigo Enriques and Oscar Chisini Lectures on the geometrical theory of equations and algebraic functions 19151934
795
63 Albert Einstein review paper on general relativity theory 1916
802
64 DArcy Wentworth Thompson On growth and form first edition 1917
823
65 Leonard Dickson History of the theory of numbers 19191923
833
66 Paul UrysohnUrysohn Paul and Karl MengerMenger Karl papers on dimension theorydimension theory 19231926
844
67 RA Fisher Statistical methods for research workers first edition 1925
856
68 George David BirkhoffDynamical systems 1927
871
69 PAM Dirac 1930 and J von Neumann 1932 books on quantum mechanics
882
70 BL van der Waerden Moderne Algebrafirst edition 19301931
901
71 Kurt Gödel paper on the incompleteness theorems 1931
917
72 Walter Andrew Shewhart Economic control of quality of manufactured product 1931
926
73 Vito Volterra book on mathematical biology 1931
936
74 S Bochner lectures on Fourier integrals 1932
945
75 AN Kolmogorov Grundbegriffe der Wahrscheinlichkeitsrechnung 1933
960
76 H Seifert and W Threlfall 1934 and PS Alexandroff and H Hopf 1935 books on topology
970
77 David Hilbert and Paul Bernays Grundlagen der Mathematik first edition 1934 1939
981
List of Authors
1000
Index
1004
Copyright

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About the author (2005)

Ivor Grattan-Guinness is professor of the history of mathematics and logic at Middlesex University, England.

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