Remarkable Mathematicians: From Euler to Von NeumannCambridge University Press, 2002 - 433 pàgines 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. |
Continguts
From Euler to Legendre | 1 |
JEANLEROND DALEMBERT 17171783 | 8 |
JOSEPHLOUIS LAGRANGE 17361813 | 14 |
GASPARD MONGE 17461818 | 20 |
PIERRESIMON LAPLACE 17491827 | 28 |
ADRIENMARIE LEGENDRE 17521833 | 36 |
From Fourier to Cauchy | 42 |
SOPHIE GERMAIN 17761831 | 47 |
SONYA KOVALEVSKAYA 18501891 | 230 |
HENRI POINCARÉ 18541912 | 237 |
DAVID HILBERT 18621943 | 246 |
From EH Moore to Takagi | 258 |
JACQUES HADAMARD 18651963 | 263 |
FELIX HAUSDORFF 18681942 | 271 |
ELIE CARTAN 18691951 | 279 |
EMILE BOREL 18711956 | 283 |
CARL FRIEDRICH GAUSS 17771855 | 58 |
SIMÉONDENIS POISSON 17811840 | 69 |
JEAN VICTOR PONCELET 17881867 | 76 |
AUGUSTIN CAUCHY 17891857 | 81 |
From Abel to Grassmann | 91 |
CARL JACOBI 18041851 | 97 |
LEJEUNE DIRICHLET 18051859 | 103 |
WILLIAM ROWAN HAMILTON 18051865 | 109 |
JOSEPH LIOUVILLE 18091882 | 116 |
HERMANN GRASSMANN 18091877 | 123 |
From Kummer to Cayley | 129 |
EVARISTE GALOIS 18111832 | 134 |
JJ SYLVESTER 18141897 | 141 |
KARL WEIERSTRASS 18151897 | 150 |
PL CHEBYSHEV 18211894 | 159 |
ARTHUR CAYLEY 18211895 | 165 |
From Hermite to Sophus Lie | 173 |
LEOPOLD KRONECKER 18231891 | 177 |
BERNHARD RIEMANN 18261866 | 182 |
HENRY SMITH 18261883 | 189 |
RICHARD DEDEKIND 18311916 | 195 |
SOPHUS LIE 18421899 | 200 |
From Cantor to Hilbert | 208 |
GÖSTA MITTAGLEFFLER 18461927 | 215 |
FELIX KLEIN 18491925 | 219 |
TEIJI TAKAGI 18751960 | 292 |
From Hardy to Lefschetz | 299 |
OSWALD VEBLEN 18801960 | 306 |
LEJ BROUWER 18811966 | 313 |
EMMY NOETHER 18821935 | 321 |
RL MOORE 18821974 | 326 |
SOLOMON LEFSCHETZ 18841972 | 333 |
From Birkhoff to Alexander | 340 |
HERMANN WEYL 18851955 | 345 |
GEORGE PÓLYA 18871985 | 350 |
SRINIVASA IYENGAR RAMANUJAN 18871920 | 357 |
RICHARD COURANT 18881972 | 362 |
JW ALEXANDER 18881971 | 372 |
From Banach to von Neumann | 380 |
NORBERT WIENER 18941964 | 386 |
PS ALEKSANDROV 18961982 | 392 |
OSCAR ZARISKI 18991986 | 401 |
AN KOLMOGOROV 19031987 | 407 |
JOHN VON NEUMANN 19031957 | 412 |
Epilogue | 417 |
Further Reading | 423 |
Collections | 426 |
Acknowledgements | 429 |
Altres edicions - Mostra-ho tot
Remarkable Mathematicians: From Euler to Von Neumann Ioan Mackenzie James Previsualització no disponible - 2002 |
Frases i termes més freqüents
Abel Aleksandrov Alexander algebraic analysis appointed Banach became began Berlin Birkhoff Borel Brouwer calculus Cambridge Cantor career Cauchy Cayley century Collège de France Courant Crelle's Journal d'Alembert Dedekind developed died Dirichlet Ecole Polytechnique elected elliptic functions Emmy Noether Euler father Felix Hausdorff Felix Klein foundations Fourier France French friends Galois Gauss gave geometry George Pólya Georgia Augusta German Göttingen graduate Hadamard Hamilton Hardy Hausdorff Hermite Hilbert honours ideas important Institute interest Jacobi Klein Kovalevskaya Kronecker Kummer Lagrange Laplace later lectures Lefschetz Legendre Liouville Mathematical Society mathematicians memoir Mittag-Leffler Monge Moore Neumann Niels Abel number theory papers Paris Academy period physics Poincaré Poisson Pólya Princeton privatdozent prize problems professor published Ramanujan result returned Riemann Russian scientific scientists Sophie Germain Sophus Lie St Petersburg Stefan Banach Sylvester Takagi teacher teaching theorem topology University Veblen Weierstrass Weyl Wiener wrote young Zariski
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