From Kant to Hilbert, Volume 2

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OUP Oxford, Apr 21, 2005 - Mathematics - 709 pages
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Immanuel Kant's Critique of Pure Reason is widely taken to be the starting point of the modern period of mathematics while David Hilbert was the last great mainstream mathematician to pursue important nineteenth cnetury ideas. This two-volume work provides an overview of this important era of mathematical research through a carefully chosen selection of articles. They provide an insight into the foundations of each of the main branches of mathematics—algebra, geometry, number theory, analysis, logic and set theory—with narratives to show how they are linked. Classic works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare are reproduced in reliable translations and many selections from writers such as Gauss, Cantor, Kronecker and Zermelo are here translated for the first time. The collection is an invaluable source for anyone wishing to gain an understanding of the foundation of modern mathematics.
 

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Contents

16 GEORG FRIEDRICH BERNHARD RIEMANN 18261866
649
17 HERMANN VON HELMHOLTZ 18211894
662
18 JULIUS WILHELM RICHARD DEDEKIND 18311916
753
19 GEORG CANTOR 18451918
838
20 LEOPOLD KRONECKER 18231891
941
21 CHRISTIAN FELIX KLEIN 18491925
956
22 JULES HENRI POINCARÉ 18541912
972
23 THE FRENCH ANALYSTS
1075
24 DAVID HILBERT 18621943
1087
25 LUITZEN EGBERTUS JEAN BROUWER 18811966
1166
26 ERNST ZERMELO 18711953
1208
27 GODFREY HAROLD HARDY 18771947
1234
28 NICOLAUS BOURBAKI
1264
Bibliography
1277
Index
1331
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