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Chapter 0 - Introduction
I. Grattan-Guinness
Pages ix-xvii - Book chapterAbstract only
Chapter 1 - René Descartes, Géométrie, Latin edition (1649), French edition (1637)
M. Serfati
Pages 1-22 - Book chapterAbstract only
Chapter 2 - John Wallis, Arithmetica infinitorum (1965)
Jacqueline Stedall
Pages 23-32 - Book chapterAbstract only
Chapter 3 - Christiaan Huygens, book on the pendulum clock (1673)
Joella G. Yoder
Pages 33-45 - Book chapterAbstract only
Chapter 4 - Gottfried Wilhelm Leibniz, first three papers on the calculus (1684, 1686, 1693)
C.S. Roero
Pages 46-58 - Book chapterAbstract only
Chapter 5 - Isaac Newton, Philosophiae naturalis principia mathematica, first edition (1687)
Niccolò Guicciardini
Pages 59-87 - Book chapterAbstract only
Chapter 6 - Jakob Bernoulli, Ars conjectandi (1713)
Ivo Schneider
Pages 88-104 - Book chapterAbstract only
Chapter 7 - Abraham de Moivre, The doctrine of chances (1718, 1738, 1756)
Ivo Schneider
Pages 105-120 - Book chapterAbstract only
Chapter 8 - George Berkeley, The analyst (1734)
D.M. Jesseph
Pages 121-130 - Book chapterAbstract only
Chapter 9 - Daniel Bernoulli, Hydrodynamica (1738)
G.K. Mikhailov
Pages 131-142 - Book chapterAbstract only
Chapter 10 - Colin Maclaurin, A treatise of fluxions (1742)
Erik Sageng
Pages 143-158 - Book chapterAbstract only
Chapter 11 - Jean Le Rond D'Alembert, Traité de dynamique (1743, 1758)
Pierre Crépel
Pages 159-167 - Book chapterAbstract only
Chapter 12 - Leonhard Euler, book on the calculus of variations (1744)
Craig G. Fraser
Pages 168-180 - Book chapterAbstract only
Chapter 13 - Leonhard Euler, ‘Introduction’ to analysis (1748)
Karin Reich
Pages 181-190 - Book chapterAbstract only
Chapter 14 - Leonhard Euler, treatise on the differential calculus (1755)
S.S. Demidov
Pages 191-198 - Book chapterAbstract only
Chapter 15 - Thomas Bayes, An essay towards solving a problem in the doctrine of chances (1764)
A.I. Dale
Pages 199-207 - Book chapterAbstract only
Chapter 16 - Joseph Louis Lagrange, Méchanique analitique, first edition (1788)
Helmut Pulte
Pages 208-224 - Book chapterAbstract only
Chapter 17 - Gaspard Monge, Géométrie descriptive, first edition (1795)
Joël Sakarovitch
Pages 225-241 - Book chapterAbstract only
Chapter 18 - P.S. Laplace, Exposition du système du monde, first edition (1796); Traité de mécanique céleste (1799–1823/1827)
I. Grattan-Guinness
Pages 242-257 - Book chapterAbstract only
Chapter 19 - Joseph Louis Lagrange, Théorie des fonctions analytiques, first edition (1797)
Craig G. Fraser
Pages 258-276 - Book chapterAbstract only
Chapter 20 - S.F. Lacroix, Traité du calcul différentiel et du calcul intégral, first edition (1797–1800)
Jaão Caramalho Domingues
Pages 277-291 - Book chapterAbstract only
Chapter 21 - Jean-Etienne Montucla, Histoire des mathématiques, second edition (1799–1802)
Pierre Crépel and Alain Coste
Pages 292-302 - Book chapterAbstract only
Chapter 22 - Carl Friedrich Gauss, Disquisitiones arithmeticae (1801)
O. Neumann
Pages 303-315 - Book chapterAbstract only
Chapter 23 - Carl Friedrich Gauss, book on celestial mechanics (1809)
Curtis Wilson
Pages 316-328 - Book chapterAbstract only
Chapter 24 - P.S. Laplace, Théorie analytique des probabilités, first edition (1812); Essai philosophique sur les probabilités, first edition (1814)
Stephen M. Stigler
Pages 329-340 - Book chapterAbstract only
Chapter 25 - A.-L. Cauchy, Cours d'analyse (1821) and Résumé of the calculus (1823)
I. Grattan-Guinness
Pages 341-353 - Book chapterAbstract only
Chapter 26 - Joseph Fourier, Théorie analytique de la chaleur (1822)
I. Grattan-Guinness
Pages 354-365 - Book chapterAbstract only
Chapter 27 - Jean Victor Poncelet, Traité des propriétés projectives des figures first edition (1822)
Jeremy Gray
Pages 366-376 - Book chapterAbstract only
Chapter 28 - A.-L. Cauchy, two memoirs on complex-variable function theory (1825, 1827)
F. Smithies
Pages 377-390 - Book chapterAbstract only
Chapter 29 - Niels Henrik Abel, paper on the irresolvability of the quintic equation (1826)
Roger Cooke
Pages 391-402 - Book chapterAbstract only
Chapter 30 - George Green, an essay on the mathematical analysis of electricity and magnetism (1828)
I. Grattan-Guinness
Pages 403-411 - Book chapterAbstract only
Chapter 31 - C.G.J. Jacobi, book on elliptic functions (1829)
Roger Cooke
Pages 412-430 - Book chapterAbstract only
Chapter 32 - Hermann G. Grassmann, Ausdehnungslehre, first edition (1844)
Albert C. Lewis
Pages 431-440 - Book chapterAbstract only
Chapter 33 - Karl Georg Christian Von Staudt, book on projective geometry (1847)
Karin Reich
Pages 441-447 - Book chapterAbstract only
Chapter 34 - Benhard Riemann, thesis on the theory of functions of a complex variable (1851)
Peter Ullrich
Pages 448-459 - Book chapterAbstract only
Chapter 35 - William Rown Hamilton, Lectures on quaternions (1853)
Albert C. Lewis
Pages 460-469 - Book chapterAbstract only
Chapter 36 - George Boole, An investigation of the laws of thought on which are founded the mathematical theory of logic and probabilities (1854)
I. Grattan-Guinness
Pages 470-479 - Book chapterAbstract only
Chapter 37 - Johann Peter Gustav Lejeune-Dirichlet, Vorlesungen über zahlentheorie, first edition (1863)
Catherine Goldstein
Pages 480-490 - Book chapterAbstract only
Chapter 38 - Benhard Riemann, posthumous thesis on the representation of functions by trigonometric series (1867)
David Mascré
Pages 491-505 - Book chapterAbstract only
Chapter 39 - Bernhard Riemann, posthumous thesis ‘On the hypotheses which lie at the Foundation of Geometry’ (1867)
Jeremy Gray
Pages 506-520 - Book chapterAbstract only
Chapter 40 - William Thomson and Peter Guthrie Tait, Treatise on natural philosophy, first edition (1867)
M. Norton Wise
Pages 521-533 - Book chapterAbstract only
Chapter 41 - Stanley Jevons, The theory of political economy, first edition (1871)
Jean-Pierre Potier and Jan van Daal
Pages 534-543 - Book chapterAbstract only
Chapter 42 - Felix Klein's Erlangen Program, ‘Comparative considerations of recent geometrical researches’ (1872)
Jeremy Gray
Pages 544-552 - Book chapterAbstract only
Chapter 43 - Richard Dedekind, Stetigkeit und irrationale zahlen (1872)
Roger Cooke
Pages 553-563 - Book chapterAbstract only
Chapter 44 - James Clerk Maxwell, A treatise on electricity and magnetism, first edition (1873)
F. Achard
Pages 564-587 - Book chapterAbstract only
Chapter 45 - J.W. Strutt, third Baron Rayleigh, The theory of sound, first edition (1877–1878)
Ja Hyon Ku
Pages 588-599 - Book chapterAbstract only
Chapter 46 - Georg Cantor, paper on the ‘Foundations of A General Set Theory’ (1883)
Joseph W. Dauben
Pages 600-612 - Book chapterAbstract only
Chapter 47 - Richard Dedekind (1888) and Giuseppe Peano (1889), booklets on the Foundations of Arithmetic
J. Ferreirós
Pages 613-626 - Book chapterAbstract only
Chapter 48 - Henripoincaré, memoir on the three-body problem (1890)
June Barrow-Green
Pages 627-638 - Book chapterAbstract only
Chapter 49 - Oliver Heaviside, Electrical papers (1892)
Ido Yavetz
Pages 639-652 - Book chapterAbstract only
Chapter 50 - Walter William Rouse Ball, Mathematical recreations and problems of past and present times, first edition (1892)
David Singmaster
Pages 653-663 - Book chapterAbstract only
Chapter 51 - Alexandr Mikhailovich Lyapunov, thesis on the stability of motion (1892)
J. Mawhin
Pages 664-676 - Book chapterAbstract only
Chapter 52 - Heinrich Hertz, posthumous book on mechanics (1894)
Jesper Lützen
Pages 677-689 - Book chapterAbstract only
Chapter 53 - Heinrich Weber, Lehrbuch der algebra (1895–1896)
Leo Corry
Pages 690-699 - Book chapterAbstract only
Chapter 54 - David Hilbert, report on algebraic number fields (‘Zahlbericht’) (1897)
Norbert Schappacher
Pages 700-709 - Book chapterAbstract only
Chapter 55 - David Hilbert, Grundlagen der geometrie, first edition (1899)
Michael Toepell
Pages 710-723 - Book chapterAbstract only
Chapter 56 - Karl Pearson, paper on the chi square goodness of fit test (1900)
M.E. Magnello
Pages 724-731 - Book chapterAbstract only
Chapter 57 - David Hilbert, Paper on ‘Mathematical problems’ (1901)
Michiel Hazewinkel
Pages 732-747 - Book chapterAbstract only
Chapter 58 - Lord Kelvin, Baltimore lectures on mathematical physics ((1884), 1904)
Ole Knudsen
Pages 748-756 - Book chapterAbstract only
Chapter 59 - Henri Lebesgue and René Baire, three books on mathematical analysis (1904–1906)
Roger Cooke
Pages 757-777 - Book chapterAbstract only
Chapter 60 - H.A. Lorentz, lectures on electron theory, first edition (1909)
A.J. Kox
Pages 778-783 - Book chapterAbstract only
Chapter 61 - A.N. Whitehead and Bertrand Russell, principia mathematica, first edition (1910–1913)
I. Grattan-Guinness
Pages 784-794 - Book chapterAbstract only
Chapter 62 - Federigo Enriques and Oscar Chisini, lectures on ‘the geometrical theory of equations and algebraic functions’ (1915–1934)
A. Conte
Pages 795-801 - Book chapterAbstract only
Chapter 63 - Albert Einstein, review paper on general relativity theory (1916)
T. Sauer
Pages 802-822 - Book chapterAbstract only
Chapter 64 - D'arcy Wentworth Thompson, On growth and form, first edition (1917)
T.J. Horder
Pages 823-832 - Book chapterAbstract only
Chapter 65 - Leonard Dickson, History of the theory of numbers (1919–1923)
Della D. Fenster
Pages 833-843 - Book chapterAbstract only
Chapter 66 - Paul Urysohn and Karl Menger, papers on dimension theory (1923–1926)
Tony Crilly
Pages 844-855 - Book chapterAbstract only
Chapter 67 - R.A. Fischer, statistical methods for research workers, first edition (1925)
A.W.F. Edwards
Pages 856-870 - Book chapterAbstract only
Chapter 68 - George David Birkhoff, Dynamical systems (1927)
David Aubin
Pages 871-881 - Book chapterAbstract only
Chapter 69 - P.A.M. Dirac (1930) and J. Von Neumann (1932), books on quantum mechanics
Laurie M. Brown and Helmut Rechenberg
Pages 882-900 - Book chapterAbstract only
Chapter 70 - B.L. Van Der Waerden, Moderne algebra, first edition (1930–1931)
K.-H. Schlote
Pages 901-916 - Book chapterAbstract only
Chapter 71 - Kurt Gödel, paper on the incompleteness theorems (1931)
Richard Zach
Pages 917-925 - Book chapterAbstract only
Chapter 72 - Walter Andrew Shewhart, Economic control of quality of manufactured product (1931)
Denis Bayart
Pages 926-935 - Book chapterAbstract only
Chapter 73 - Vito Volterra, book on mathematical biology (1931)
G. Israel
Pages 936-944 - Book chapterAbstract only
Chapter 74 - S. Bochner, lectures on fourier integrals (1932)
Roger Cooke
Pages 945-959 - Book chapterAbstract only
Chapter 75 - A.N. Kolmogorov, Grundbegriffe der wahrscheinlichkeitsrechnung (1933)
Jan von Plato
Pages 960-969 - Book chapterAbstract only
Chapter 76 - H. Seifert and W. Threlfall (1934) and P.S. Alexandroff and H. Hopf (1935), books on Topology
Alain Herreman
Pages 970-980 - Book chapterAbstract only
Chapter 77 - David Hilbert and Paul Bernays, Grundlagen der mathematik, first edition (1934, 1939)
Wilfried Sieg and Mark Ravaglia
Pages 981-999 - Book chapterNo access
List of authors
Pages 1000-1003 - Book chapterNo access
Index
I. Grattan-Guinness
Pages 1004-1022
About the book
Description
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.
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.
Key Features
- 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
- 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
Details
ISBN
978-0-444-50871-3
Language
English
Published
2005
Copyright
Copyright © 2005 Elsevier B.V. All rights reserved
Imprint
Elsevier Science