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The Riemann Legacy : Riemannian Ideas in Mathematics and Physics - Krzysztof Maurin

The Riemann Legacy

Riemannian Ideas in Mathematics and Physics


Published: 31st July 1997
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The study of the rise and fall of great mathematical ideas is undoubtedly one of the most fascinating branches of the history of science. It enables one to come into contact with and to participate in the world of ideas. Nowhere can we see more concretely the enormous spiritual energy which, initially still lacking clear contours, begs to be moulded and developed by mathematicians, than in Riemann (1826-1866). He perceived mathematics and physics as one discipline and thought of himself as both mathematician and physicist. His ideas as well as their contemporary descendants are the theme of this book.
This volume will be useful to those interested in such diverse fields as the mathematics of physics, algebra and number theory, topology and geometry, analysis, and the history of science.

Foreword: Riemann's Geometric Ideas and their Role in Mathematics and Physics
Riemannian Ideas in Mathematics and Physicsp. 1
General Structures of Mathematicsp. 119
The Idea of the Riemann Surfacep. 325
Riemann and Calculus of Variationsp. 361
Riemann and Complex Geometryp. 523
Riemann and Number Theoryp. 649
Concluding Remarksp. 697
Suggestions for Further Readingp. 699
Indexp. 703
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792346364
ISBN-10: 079234636X
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 719
Published: 31st July 1997
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 25.4 x 17.15  x 3.81
Weight (kg): 1.13