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

Klein, Felix; Hardcastle, Frances (tranlated from the German by)

ISBN 10: 0486495523 / ISBN 13: 9780486495521

Editore: Dover Publications, Mineola, NY, 2003

Riguardo questo articolo

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.

Codice articolo 025143

Dati bibliografici

• Titolo: On Riemann's Theory of Algebraic Functions and Their Integrals: A Supplement to the Usual Treatises (Dover Books on Mathematics)
• Editore: Dover Publications, Mineola, NY
• Data di pubblicazione: 2003
• Lingua: Inglese
• ISBN 10: 0486495523
• ISBN 13: 9780486495521
• Rilegatura: Hardcover
• Condizione: As New
• Condizione della sovraccoperta: No Jacket
• Cataloghi dei venditori:
  • Mathematics

Descrizione articolo

Riassunto

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.

Product Description

One of the best introductions to the origins of topological problems, this work examines the 1st part of Riemann's Theory of Abelian Functions. In addition to its significance in the area of complex functions, this volume is extremely useful in its formulations of the topological equivalents of Riemann's surfaces. 1893 edition. Includes 43 figures.