From Kant to Hilbert : a source book in the foundations of mathematics
著者
書誌事項
From Kant to Hilbert : a source book in the foundations of mathematics
Clarendon Press , Oxford University Press, 1996, 1999
- v. 1
- v. 1 : pbk
- v. 2
- v. 2 : pbk
- : set
- : set : pbk
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v. 1096150233,
v. 2096150244, v. 1 : pbk410.120000013363, v. 2 : pbk410.120000013374 -
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注記
Includes bibliographical references and indexes
内容説明・目次
- 巻冊次
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: set : pbk ISBN 9780198505372
内容説明
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. From reviews of the hardback: '...well prepared and paves the way to a profound study of the concerned subject.' E. Knobloch in Zentrallblatt fur Mathematik. '...the book is a wide-ranging and substantial contribution to the accessibility of writings on the foundation of various branches of mathematics.
' I. Grattan-Guinness in History and Philosophy of Logic.
目次
- VOLUME 1
- Introduction
- 1. George Berkeley (1685-1753)
- 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 Gregory (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)
- VOLUME II
- 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
- 巻冊次
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: set ISBN 9780198532712
内容説明
This collection represents a comprehensive selection of the most important works on the foundations of mathematics in the period from Kant to Hilbert. Kant's Critique of Pure Reason is taken as the starting point of the modern period of mathematics while Hilbert was the last great mainstream mathematician to pursue important nineteenth century ideas. The selections are representative samples of foundational work in each of the main branches of mathematics: algebra and geometry; number theory and 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 contents of these two volumes includes the following: George Berkeley (1685 - 1753), Immanuel Kant (1724 - 1804), Augustus De Morgan ( 1806 - 1871), Georg Cantor (1845 - 1918), David Hilbert (1862 - 1943), and Godfrey Harold Hardy (1877 - 1947). This book is intended for undergraduate and graduate students in the philosophy of mathematics or history of mathematics.
目次
VOLUME 1. Introduction. 1: George Berkeley (1685-1753). 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 Gregory (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). VOLUME II. 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
- 巻冊次
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v. 1 ISBN 9780198534709
内容説明
Part of a two-volume set which contains principal texts on the foundations of mathematics from the late 18th century to the early 20th century. Many essays are translated here into English for the first time.
目次
- George Berkeley (1685-1753)
- Colin MacLaurin (1698-1746)
- Jean LeRond D'Alembert (1717-1783)
- Immanuel Kant (1724-1804)
- Johann Heinrich Lambert (1728-1777)
- Bernard Bolzano (1781-1848)
- Carl Friedrich Gauss (1777-1855)
- Duncan Gregory (1813-1844)
- Augustus De Morgan (1806-1871)
- William Rowan Hamilton (1805-1865)
- George Boole (1815-1864)
- James Joseph Sylvester (1814-1897)
- William Kingdon Clifford (1845-1879)
- Arthur Cayley (1821-1895)
- Charles Sanders Peirce (1839-1914).
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