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This book, originally written in German and presented here in an English-language translation, is the first attempt to examine Riemann's scientific work from a single unifying perspective. Laugwitz describes Riemann's development of a conceptual approach to mathematics at a time when conventional algorithmic thinking dictated that formulas and figures, rigid constructs, and transformations of terms were the only legitimate means of studying mathematical objects.
David Hilbert gave prominence to the Riemannian principle of utilizing thought, not calculation, to achieve proofs. Hermann Weyl interpreted the Riemann principle - for mathematics and physics alike - to be a matter of "understanding the world through its behavior in the infinitely small.".
This remarkable work, rich in insight and scholarship, is addressed to mathematicians, physicists, and philosophers interested in mathematics. It seeks to draw those readers closer to the underlying ideas of Riemann's work and to the development of them in their historical context. This illuminating English-language version of the original German edition will be an important contribution to the literature of the history of mathematics.
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Subjects
Biography, History, Mathematicians, Mathematics, Mathematicians, biography, Mathematics, history, Mathematics, german, PhilosophyPeople
Bernhard Riemann (1826-1866)Places
GermanyTimes
19th centuryShowing 8 featured editions. View all 8 editions?
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Bernhard Riemann 1826-1866: Wendepunkte in der Auffassung der Mathematik
2013, Birkhauser Verlag
in German
3034889836 9783034889834
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Bernhard Riemann 1826-1866: Turning Points in the Conception of Mathematics
2010, Birkhäuser Boston
in English
081764928X 9780817649289
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4
Bernhard Riemann 1826-1866: Turning Points in the Conception of Mathematics
2009, Birkhäuser Boston
in English
0817647775 9780817647773
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5
Bernhard Riemann, 1826-1866: turning points in the conception of mathematics
1999, Birkhäuser
in English
0817640401 9780817640408
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6
Bernhard Riemann 1826-1866: turning points in the conception of mathematics
1999, Birkhauser
in English
3764340401 9783764340407
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7
Bernhard Riemann, 1826-1866: Wendepunkte in der Auffassung der Mathematik
1996, Birkhäuser
in German
3764351896 9783764351892
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8
Bernhard Riemann 1826-1866: Wendepunkte in der Auffassung der Mathematik (Vita Mathematica)
December 1, 1995, Birkhauser
Hardcover
in German
- 1 edition
3764351896 9783764351892
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Book Details
Edition Notes
Includes bibliographical references (p. [329]-334) and index.
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