Spectrum Series

From Euler to Von Neumann

By: Ioan James, James Ioan

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Paperback | 2 June 2003

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448 Pages

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22.86 x 15.24 x 2.54

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Ioan James introduces and profiles sixty mathematicians from the era when mathematics was freed from its classical origins to develop into its modern form. The subjects, all born between 1700 and 1910, come from a wide range of countries, and all made important contributions to mathematics, through their ideas, their teaching, and their influence. James emphasizes their varied life stories, not the details of their mathematical achievements.

The book is organized chronologically into ten chapters, each of which contains biographical sketches of six mathematicians. The men and women James has chosen to portray are representative of the history of mathematics, such that their stories, when read in sequence, convey in human terms something of the way in which mathematics developed. Ioan James is a professor at the Mathematical Institute, University of Oxford. He is the author of Topological Topics (Cambridge, 1983), Fibrewise Topology (Cambridge, 1989), Introduction to Uniform Spaces (Cambridge, 1990), Topological and Uniform Spaces (Springer-Verlag New York, 1999), and co-author with Michael C. Crabb of Fibrewise Homotopy Theory (Springer-Verlag New York, 1998). James is the former editor of the London Mathematical Society Lecture Note Series and volume editor of numerous books. He is the organizer of the Oxford Series of Topology symposia and other conferences, and co-chairman of the Task Force for Mathematical Sciences of Campaign for Oxford.

Industry Reviews

'... can be recommended to all scientists and teachers of mathematics, the history and philosophy of mathematics, as well as to anyone interested in history of science.' European Mathematical Society 'Enjoyable, accessible, informative across three centuries, and supplying an excellent concise bibliography of both primary and secondary sources, James's book is a good reference work for those in any field or profession.' Endeavour '... recommended to all scientists and teachers of mathematics, the history and philosophy of mathematics, as well as to anyone interested in history of science.' EMS Newsletter '... a nice book to dip into, and a good source of anecdotes.' Metascience 'The book stands out from other biographical collections by its engaging prose and its facility for putting a human face to mathematics. For anyone who would like to learn about the Fourier behind the Fourier series, or the Riemann of the Riemann hypothesis, this is a useful collection to have on the shelf ready to dip into.' British Society for the History of Science '... will serve as an inspired contribution to the history of mathematics for a great many decades.' Kybernetes

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Preface	p. xi
Prologue	p. xiii
From Euler to Legendre	p. 1
Leonhard Euler (1707-1783)	p. 1
Jean-le-Rond d'Alembert (1717-1783)	p. 8
Joseph-Louis Lagrange (1736-1813)	p. 14
Gaspard Monge (1746-1818)	p. 20
Pierre-Simon Laplace (1749-1827)	p. 28
Adrien-Marie Legendre (1752-1833)	p. 36
From Fourier to Cauchy	p. 42
Joseph Fourier (1768-1830)	p. 42
Sophie Germain (1776-1831)	p. 47
Carl Friedrich Gauss (1777-1855)	p. 58
Simeon-Denis Poisson (1781-1840)	p. 69
Jean Victor Poncelet (1788-1867)	p. 76
Augustin Cauchy (1789-1857)	p. 81
From Abel to Grassmann	p. 91
Niels Abel (1802-1829)	p. 91
Carl Jacobi (1804-1851)	p. 97
Lejeune Dirichlet (1805-1859)	p. 103
William Rowan Hamilton (1805-1865)	p. 109
Joseph Liouville (1809-1882)	p. 116
Hermann Grassmann (1809-1877)	p. 123
From Kummer to Cayley	p. 129
Ernst Kummer (1810-1893)	p. 129
Evariste Galois (1811-1832)	p. 134
J.J. Sylvester (1814-1897)	p. 141
Karl Weierstrass (1815-1897)	p. 150
P.L. Chebyshev (1821-1894)	p. 159
Arthur Cayley (1821-1895)	p. 165
From Hermite to Sophus Lie	p. 173
Charles Hermite (1822-1901)	p. 173
Leopold Kronecker (1823-1891)	p. 177
Bernhard Riemann (1826-1866)	p. 182
Henry Smith (1826-1883)	p. 189
Richard Dedekind (1831-1916)	p. 195
Sophus Lie (1842-1899)	p. 200
From Cantor to Hilbert	p. 208
Georg Cantor (1845-1918)	p. 208
Gosta Mittag-Leffler (1846-1927)	p. 215
Felix Klein (1849-1925)	p. 219
Sonya Kovalevskaya (1850-1891)	p. 230
Henri Poincare (1854-1912)	p. 237
David Hilbert (1862-1943)	p. 246
From E.H. Moore to Takagi	p. 258
E.H. Moore (1862-1932)	p. 258
Jacques Hadamard (1865-1963)	p. 263
Felix Hausdorff (1868-1942)	p. 271
Elie Cartan (1869-1951)	p. 279
Emile Borel (1871-1956)	p. 283
Teiji Takagi (1875-1960)	p. 292
From Hardy to Lefschetz	p. 299
G.H. Hardy (1877-1947)	p. 299
Oswald Veblen (1880-1960)	p. 306
L.E.J. Brouwer (1881-1966)	p. 313
Emmy Noether (1882-1935)	p. 321
R.L. Moore (1882-1974)	p. 326
Solomon Lefschetz (1884-1972)	p. 333
From Birkhoff to Alexander	p. 340
George Birkhoff (1884-1944)	p. 340
Hermann Weyl (1885-1955)	p. 345
George Polya (1887-1985)	p. 350
Srinivasa Iyengar Ramanujan (1887-1920)	p. 357
Richard Courant (1888-1972)	p. 362
J.W. Alexander (1888-1971)	p. 372
From Banach to von Neumann	p. 380
Stefan Banach (1892-1945)	p. 380
Norbert Wiener (1894-1964)	p. 386
P.S. Aleksandrov (1896-1982)	p. 392
Oscar Zariski (1899-1986)	p. 401
A.N. Kolmogorov (1903-1987)	p. 407
John von Neumann (1903-1957)	p. 412
Epilogue	p. 417
Further Reading	p. 423
Collections	p. 426
Acknowledgements	p. 429
Table of Contents provided by Ingram. All Rights Reserved.

Spectrum Series

From Euler to Von Neumann

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

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