Grattan-Guinness I. (ed.) Landmark Writings in Western Mathematics 1640-1940

Elsevier, 2005. — 1022 p. — ISBN: 9780444508713, 9786610633739, 0-444-50871-6This 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.Introduction (by I. Grattan-Guinness).
René Descartes, Géométrie, Latin edition (1649), French edition (1637) (by M. Serfati).
John Wallis, Arithmetica infinitorum (1656) (by Jacqueline Stedall).
Christiaan Huygens, book on the pendulum clock (1673) (by Joella G. Yoder).
Gottfried Wilhelm Leibniz, first three papers on the calculus (1684, 1686, 1693) (by C.S. Roero).
Isaac Newton, Philosophiae naturalis principia mathematica, first edition (1687) (by Niccolò Guicciardini).
Jakob Bernoulli, Ars conjectandi (1713) (by Ivo Schneider).
Abraham de Moivre, The doctrine of chances (1718, 1738, 1756) (by Ivo Schneider).
George Berkeley, The analyst (1734) (by D.M. Jesseph).
Daniel Bernoulli, Hydrodynamica (1738) (by G.K. Mikhailov).
Colin Maclaurin, A treatise of fluxions (1742) (by Erik Sageng).
Jean Le Rond D'Alembert, Traité de dynamique (1743, 1758) (by Pierre Crépel).
Leonhard Euler, book on the calculus of variations (1744) (by Craig G. Fraser).
Leonhard Euler, ‘Introduction’ to analysis (1748) (by Karin Reich).
Leonhard Euler, treatise on the differential calculus (1755) (by S.S. Demidov).
Thomas Bayes, An essay towards solving a problem in the doctrine of chances (1764) (by A.I. Dale).
Joseph Louis Lagrange, Méchanique analitique, first edition (1788) (by Helmut Pulte).
Gaspard Monge, Géométrie descriptive, first edition (1795) (by Joël Sakarovitch).
P.S. Laplace, Exposition du système du monde, first edition (1796); Traité de mécanique céleste (1799–1823/1827) (by I. Grattan-Guinness).
Joseph Louis Lagrange, Théorie des fonctions analytiques, first edition (1797) (by Craig G. Fraser).
S.F. Lacroix, Traité du calcul différentiel et du calcul intégral, first edition (1797–1800) (by Jaão Caramalho Domingues).
Jean-Etienne Montucla, Histoire des mathématiques, second edition (1799–1802) (by Pierre Crépel, Alain Coste).
Carl Friedrich Gauss, Disquisitiones arithmeticae (1801) (by O. Neumann).
Carl Friedrich Gauss, book on celestial mechanics (1809) (by Curtis Wilson).
P.S. Laplace, Théorie analytique des probabilités, first edition (1812); Essai philosophique sur les probabilités, first edition (1814) (by Stephen M. Stigler).
A.-L. Cauchy, Cours d'analyse (1821) and Résumé of the calculus (1823) (by I. Grattan-Guinness).
Joseph Fourier, Théorie analytique de la chaleur (1822) (by I. Grattan-Guinness).
Jean Victor Poncelet, Traité des propriétés projectives des figures first edition (1822) (by Jeremy Gray).
A.-L. Cauchy, two memoirs on complex-variable function theory (1825, 1827) (by F. Smithies).
Niels Henrik Abel, paper on the irresolvability of the quintic equation (1826) (by Roger Cooke).
George Green, an essay on the mathematical analysis of electricity and magnetism (1828) (by I. Grattan-Guinness).
C.G.J. Jacobi, book on elliptic functions (1829) (by Roger Cooke).
Hermann G. Grassmann, Ausdehnungslehre, first edition (1844) (by Albert C. Lewis).
Karl Georg Christian Von Staudt, book on projective geometry (1847) (by Karin Reich).
Benhard Riemann, thesis on the theory of functions of a complex variable (1851) (by Peter Ullrich).
William Rown Hamilton, Lectures on quaternions (1853) (by Albert C. Lewis).
George Boole, An investigation of the laws of thought on which are founded the mathematical theory of logic and probabilities (1854) (by I. Grattan-Guinness).
Johann Peter Gustav Lejeune-Dirichlet, Vorlesungen über zahlentheorie, first edition (1863) (by Catherine Goldstein).
Benhard Riemann, posthumous thesis on the representation of functions by trigonometric series (1867) (by David Mascré).
Bernhard Riemann, posthumous thesis ‘On the hypotheses which lie at the Foundation of Geometry’ (1867) (by Jeremy Gray).
William Thomson and Peter Guthrie Tait, Treatise on natural philosophy, first edition (1867) (by M. Norton Wise).
Stanley Jevons, The theory of political economy, first edition (1871) (by Jean-Pierre Potier, Jan van Daal).
Felix Klein's Erlangen Program, ‘Comparative considerations of recent geometrical researches’ (1872) (by Jeremy Gray).
Richard Dedekind, Stetigkeit und irrationale zahlen (1872) (by Roger Cooke).
James Clerk Maxwell, A treatise on electricity and magnetism, first edition (1873) (by F. Achard).
J.W. Strutt, third Baron Rayleigh, The theory of sound, first edition (1877–1878) (by Ja Hyon Ku).
Georg Cantor, paper on the ‘Foundations of A General Set Theory’ (1883) (by Joseph W. Dauben).
Richard Dedekind (1888) and Giuseppe Peano (1889), booklets on the Foundations of Arithmetic (by J. Ferreirós).
Henri Poincaré, memoir on the three-body problem (1890) (by June Barrow-Green).
Oliver Heaviside, Electrical papers (1892) (by Ido Yavetz).
Walter William Rouse Ball, Mathematical recreations and problems of past and present times, first edition (1892) (by David Singmaster).
Alexandr Mikhailovich Lyapunov, thesis on the stability of motion (1892) (by J. Mawhin).
Heinrich Hertz, posthumous book on mechanics (1894) (by Jesper Lützen).
Heinrich Weber, Lehrbuch der algebra (1895–1896) (by Leo Corry).
David Hilbert, report on algebraic number fields (‘Zahlbericht’) (1897) (by Norbert Schappacher).
David Hilbert, Grundlagen der geometrie, first edition (1899) (by Michael Toepell).
Karl Pearson, paper on the chi square goodness of fit test (1900) (by M.E. Magnello).
David Hilbert, Paper on ‘Mathematical problems’ (1901) (by Michiel Hazewinkel).
Lord Kelvin, Baltimore lectures on mathematical physics ((1884), 1904) (by Ole Knudsen).
Henri Lebesgue and René Baire, three books on mathematical analysis (1904–1906) (by Roger Cooke).
H.A. Lorentz, lectures on electron theory, first edition (1909) (by A.J. Kox).
A.N. Whitehead and Bertrand Russell, principia mathematica, first edition (1910–1913) (by I. Grattan-Guinness).
Federigo Enriques and Oscar Chisini, lectures on ‘the geometrical theory of equations and algebraic functions’ (1915–1934) (by A. Conte).
Albert Einstein, review paper on general relativity theory (1916) (by T. Sauer).
D'arcy Wentworth Thompson, On growth and form, first edition (1917) (by T.J. Horder).
Leonard Dickson, History of the theory of numbers (1919–1923) (by Della D. Fenster).
Paul Urysohn and Karl Menger, papers on dimension theory (1923–1926) (by Tony Crilly).
R.A. Fischer, statistical methods for research workers, first edition (1925) (by A.W.F. Edwards).
George David Birkhoff, Dynamical systems (1927) (by David Aubin).
P.A.M. Dirac (1930) and J. Von Neumann (1932), books on quantum mechanics (by Laurie M. Brown, Helmut Rechenberg).
B.L. Van Der Waerden, Moderne algebra, first edition (1930–1931) (by K.-H. Schlote).
Kurt Gödel, paper on the incompleteness theorems (1931) (by Richard Zach).
Walter Andrew Shewhart, Economic control of quality of manufactured product (1931) (by Denis Bayart).
Vito Volterra, book on mathematical biology (1931) (by G. Israel).
S. Bochner, lectures on fourier integrals (1932) (by Roger Cooke).
A.N. Kolmogorov, Grundbegriffe der wahrscheinlichkeitsrechnung (1933) (by Jan von Plato).
H. Seifert and W. Threlfall (1934) and P.S. Alexandroff and H. Hopf (1935), books on Topology (by Alain Herreman).
David Hilbert and Paul Bernays, Grundlagen der mathematik, first edition (1934, 1939) (by Wilfried Sieg, Mark Ravaglia).