Landmark Writings in Western Mathematics 1640-1940

Ivor Grattan-Guinness

• Éditeur: Elsevier Science
• Année: 2005
• ISBN:
  9780080457444
• Sujet: Matemáticas
• Sous-sujet: Historia y filosofía de las matemáticas

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

Table des matières

• front cover
• copyright
• Table of Contents
• body
• 0 Introduction
• 1. René Descartes, GÉOMÉTRIE, Latin edition (1649), French edition (1637)
• 2. John Wallis, Arithmetica infinitorum (1656)
• 3. Christiaan Huygens, book on the pendulum clock (1673)
• 4. Gottfried Wilhelm Leibniz, first three papers on the calculus (1684, 1686, 1693)
• 5. Isaac Newton, philosophiae naturalis principia mathematica, first edition (1687)
• 6. Jakob Bernoulli, Ars conjectandi (1713)
• 7. Abraham de Moivre, The doctrine of chances (1718, 1738, 1756)
• 8. George Berkeley, The analyst (1734)
• 9. Daniel Bernoulli, Hydrodynamica (1738)
• 10. Colin MacLaurin, A treatise of fluxionsA treatise of fluxions (1742)
• 11 Jean Le Rond D'Alembert, Traité de dynamique (1743, 1758)
• 12. Leonhard Euler, book on the calculus of variations (1744)
• 13. Leonhard Euler, `Introduction' to analysis (1748)
• 14. Leonhard Euler, treatise on the differential calculus (1755)
• 15. Thomas Bayes, An essay towards solving a problem in the doctrine of chances (1764)
• 16. Joseph Louis Lagrange, Méchanique analitiqueMéchanique Analitique, Lagrange's|(, first edition (1788)
• 17. Gaspard Monge, Géométrie descriptive, first edition (1795)
• 18. P.S. Laplace, Exposition du système du monde, first edition (1796); Traité de mécanique céleste (1799-1823/1827)
• 19. Joseph Louis Lagrange, Théorie des fonctions analytiques, first edition (1797)
• 20. S.F. Lacroix, Traité du calcul différentiel et du calcul intégral, first edition (1797-1800)
• 21. Jean-Etienne Montucla, Histoire des mathématiques, second edition (1799-1802)
• 22. Carl Friedrich Gauss, Disquisitiones arithmeticae (1801)
• 23. Carl Friedrich Gauss, book on celestial mechanics (1809)
• 24. P.S. Laplace, Théorie analytique des probabilités, first edition (1812); Essai philosophique sur les probabilités, first edition (1814)
• 25. A.-L. Cauchy, Cours d'analyse (1821) and Résumé of the calculus (1823)
• 26. Joseph Fourier, Théorie analytique de la chaleur (1822)
• 27. Jean Victor Poncelet, Traité des propriétés projectives des figures, first edition (1822)
• 28. A.-L. Cauchy, two memoirs on complex-variable function theory (1825, 1827)
• 29. Niels Henrik Abel, paper on the irresolvability of the quintic equation (1826)
• 30. George Green, An essay on the mathematical analysis of electricity and magnetism (1828)
• 31. C.G.J. Jacobi, book on elliptic functions (1829)
• 32. Hermann G. Grassmann, Ausdehnungslehre, first edition (1844)
• 33. Karl Georg Christian von Staudt, book on projective geometry (1847)
• 34. Bernhard Riemann, thesis on the theory of functionscomplex function theory|( of a complex variablefunction of a complex variable|( (1851)
• 35. William Rowan HamiltonHamilton|(, Lectures on quaternionsLectures|( (1853)
• 36. George Boole, An investigation of the laws of thought on which are founded the mathematical theory of logic and probabilities (1854)
• 37. Johann Peter Gustav Lejeune-Dirichlet, Vorlesungen über Zahlentheorie, first edition (1863)
• 38. Bernhard Riemann, posthumous Thesis on the representation of functions by trigonometric series (1867)
• 39. Bernhard Riemann, posthumous thesis `On the hypotheses which lie at the foundation of geometry' (1867)
• 40. William Thomson and Peter Guthrie Tait, Treatise on natural philosophy, first edition (1867)
• 41. Stanley Jevons, The theory of political economy, first edition (1871)
• 42. Felix Klein's Erlangen Program, `Comparative considerations of recent geometrical researches' (1872)
• 43. Richard Dedekind, Stetigkeit und irrationale Zahlen (1872)
• 44. James Clerk Maxwell, A treatise on electricity and magnetism, first edition (1873)
• 45. J.W. Strutt, Third Baron Rayleigh, The theory of sound, first edition (1877-1878)
• 46. Georg Cantor, paper on the `Foundations of a general set theory' (1883)
• 47. Richard Dedekind (1888) and Giuseppe Peano (1889), booklets on the foundations of arithmetic
• 48. Henri Poincaré, memoir on the three-body problem (1890)
• 49. Oliver Heaviside, Electrical papers (1892)
• 50. Walter William Rouse Ball, Mathematical recreations and problems of past and present times, first edition (1892)
• 51. Alexandr Mikhailovich Lyapunov, thesis on the stability of motion (1892)
• 52. Heinrich Hertz, posthumous book on mechanics (1894)
• 53. Heinrich Weber, Lehrbuch der Algebra (1895-1896)
• 54. David Hilbert, report on algebraic number fields (`Zahlbericht') (1897)
• 55. David Hilbert, Grundlagen der Geometrie, first edition (1899)
• 56. Karl Pearson, paper on the chi square goodness of fit test (1900)
• 57. David Hilbert, paper on `Mathematical problems' (1901)
• 58. Lord Kelvin, Baltimore lectures on mathematical physics ((1884), 1904)
• 59. Henri Lebesgue and René Baire, three books on mathematical analysis (1904-1906)
• 60. H.A. Lorentz, Lectures on electron theory, first edition (1909)
• 61. A.N. Whitehead and Bertrand Russell, Principia mathematica, first edition (1910-1913)
• 62 Federigo Enriques and Oscar Chisini, Lectures on `the geometrical theory of equations and algebraic functions' (1915-1934)
• 63 Albert Einstein, review paper on general relativity theory (1916)
• 64. D'Arcy Wentworth Thompson, On growth and form, first edition (1917)
• 65. Leonard Dickson, History of the theory of numbers (1919-1923)
• 66. Paul UrysohnUrysohn, Paul|( and Karl MengerMenger, Karl|(, papers on dimension theorydimension theory|( (1923-1926)
• 67. R.A. Fisher, Statistical methods for research workers, first edition (1925)
• 68 George David Birkhoff,Dynamical systems (1927)
• 69 P.A.M. Dirac (1930) and J. von Neumann (1932), books on quantum mechanics
• 70 B.L. van der Waerden, Moderne Algebra,first edition (1930-1931)
• 71. Kurt Gödel, paper on the incompleteness theorems (1931)
• 72 Walter Andrew Shewhart, Economic control of quality of manufactured product (1931)
• 73. Vito Volterra, book on mathematical biology (1931)
• 74. S. Bochner, lectures on Fourier integrals (1932)
• 75. A.N. Kolmogorov, Grundbegriffe der Wahrscheinlichkeitsrechnung (1933)
• 76 H. Seifert and W. Threlfall (1934) and P.S. Alexandroff and H. Hopf (1935), books on topology
• 77 David Hilbert and Paul Bernays, Grundlagen der Mathematik, first edition (1934, 1939)
• List of Authors
• Index