From Kant to Hilbert : a source book in the foundations of mathematics  v. 1 ~ v. 2

William Ewald

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 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, 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.

「Nielsen BookData」より

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 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, 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.

「Nielsen BookData」より

[目次]

  • 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

「Nielsen BookData」より

[目次]

  • 1. George Berkeley (1965-1753)
  • 2. Colin MacLaurin (1698-1746)
  • 3. Jen LeRond D'Alembert (1717-1783)
  • 4. Immanuel Kant (1724-1804)
  • 5. Johann Heinrich Lambert (1728-1777)
  • 6. Bernard Bolzano (1781-1848)
  • 7. Carl Friedrich Gauss (1777-1855)
  • 8. Duncan Gregroy (1813-1844)
  • 9. Augustus De Morgan (1806-1871)
  • 10. William Rowan Hamilton (1805-1865)
  • 11. George Boole (1815-1864)
  • 12. James Joseph Sylvester (1814-1897)
  • 13. William Kingdon Clifford (1845-1879)
  • 14. Arthur Cayley (1821-1895)
  • 15. Charles Sanders Peirce (1839-1914)

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この本の情報

書名 From Kant to Hilbert : a source book in the foundations of mathematics
著作者等 Ewald, William Bragg
巻冊次 v. 1
v. 2
出版元 Clarendon Press;Oxford University Press
刊行年月 1996, 1999
ページ数 2 v. (xviii, 1340 p.)
大きさ 24 cm
ISBN 0198505353
0198505361
019850537X
0198532717
019853471X
0198534701
NCID BA29083444
※クリックでCiNii Booksを表示
言語 英語
出版国 イギリス
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