Landmark Writings in Western Mathematics 1640-1940Ivor Grattan-Guinness Elsevier, 11 de febr. 2005 - 1040 pàgines 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.
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Continguts
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| 23 | |
| 33 | |
| 46 | |
| 59 | |
| 88 | |
7 Abraham de Moivre The doctrine of chances 1718 1738 1756 | 105 |
8 George Berkeley The analyst 1734 | 121 |
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 |
| 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 |
| 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 |
| 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 |
| 856 | |
68 George David BirkhoffDynamical systems 1927 | 871 |
| 882 | |
70 BL van der Waerden Moderne Algebrafirst edition 19301931 | 901 |
71 Kurt Gödel paper on the incompleteness theorems 1931 | 917 |
| 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 |
| 970 | |
77 David Hilbert and Paul Bernays Grundlagen der Mathematik first edition 1934 1939 | 981 |
List of Authors | 1000 |
| 1004 | |
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algebraic analysis analytic arithmetic axioms B.V. All rights Berlin Bernoulli calculus calculus of variations Cambridge Cantor Cauchy Cauchy’s century Chapter coefficients complex concept continuous functions curves David Hilbert Dedekind defined definition derived Descartes developed differential equations Dirichlet dynamics edition Einstein electric electromagnetic Erlangen Program Euler example field finite fluxions force formula Fourier Fourier series functions Gauss geometry given Grattan-Guinness Editor Hertz Hilbert Huygens infinite infinitesimal integral introduced Jakob Bernoulli Lagrange Lagrange’s Landmark Writings Laplace later lectures Leibniz linear logic magnetic math mathematical mathematicians mechanics memoir method motion Newton non-Euclidean geometry number theory paper Paris philosophy physics plane Poincaré principle problem projective geometry proof published quadratic quadratic forms quantities quaternions ratio real numbers Repr Riemann Section set theory solution space statistics surface theorem tion trans translation treatise trigonometric series variables vector volume