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On Riemann's Theory of Algebraic Functions and Their Integrals: A Supplement to the Usual Treatises (Dover Books on Mathematics) - Hardcover

 
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A consideration of the investigations in the first part of Riemann's Theory of Abelian Functions, this volume introduces Riemann's approach to multiple-value functions and the geometrical representation of these functions by what later became known as Riemann surfaces. It further concentrates on the kinds of functions that can be defined on these surfaces, confining the treatment to rational functions and their integrals, and then demonstrates how Riemann's mathematical ideas about Abelian integrals can be arrived at by thinking in terms of the flow of electric current on surfaces. Deeply significant in the area of complex functions, this work constitutes one of the best introductions to the origins of topological problems. Unabridged republication of the classic 1893 edition. 43 figures. Glossary.

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1862-1953

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  • PublisherDover Publications
  • Publication date2003
  • ISBN 10 0486495523
  • ISBN 13 9780486495521
  • BindingHardcover
  • LanguageEnglish
  • Number of pages96

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Klein, Felix; Hardcastle, Frances (tranlated from the German by)
Published by Dover Publications, Mineola, NY, 2003
ISBN 10: 0486495523 ISBN 13: 9780486495521
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Hardcover. Condition: As New. No Jacket. A little used copy of this Dover Phoenix Edition. Tight binding, interior clean and bright, boards in terrific condition. 76 pages followed by a list of other Dover Phoenix Edition titles. Seller Inventory # 025143

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