From Kant to Hilbert: Vol. 2: A Source Book in T

Description

Immanuel Kant'sCritique of Pure Reasonis widely taken to be the starting point of the modern period of mathematics while David Hilbert was the last great mainstream mathematician to pursue importatn nineteenth century 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, Kronecher, 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. 16. Georg Friedrich Bernhard Riemann (1826-1866) 17. Hermann von Helmholtz (1821-1894) 18. Julius Wilhelm Richard Dedekind (1831-1916) 19. Georg Cantor (1845-1918) 20. Leopold Kronecker (1823-1891) 21. Christian Felix Klein (1849-1925) 22. Jules Henri Poincare (1854-1912) 23. The French analysts 24. David Hilbert (1862-1943) 25. Luitzen Egbertus Jean Brouwer (1881-1966) 26. Ernst Zermelo (1871-1953) 27. Godfrey Harold Hardy (1877-1947) 28. Nicolaus Bourbaki