From Kant to Hilbert Volume 1 : A Source Book in the Foundations of Mathematics: A Source Book in the Foundations of Mathematics, Volume 1 (Google eBook)
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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AUGUSTUS DE MORGAN 18061871
WILLIAM ROWAN HAMILTON 18051865
GEORGE BOOLE 18151864
A The mathematical analysis of logic being an essay
JAMES JOSEPH SYLVESTER 18141897
WILLIAM KINGDON CLIFFORD 18451879
ARTHUR CAYLEY 18211895
CHARLES SANDERS PEIRCE 18391914
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