On Riemann's Theory of Algebraic Functions and Their Integrals

A Supplement to the Usual Treatises

Nonfiction, Science & Nature, Mathematics, Algebra
Cover of the book On Riemann's Theory of Algebraic Functions and Their Integrals by Felix Klein, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Felix Klein ISBN: 9780486835105
Publisher: Dover Publications Publication: October 17, 2018
Imprint: Dover Publications Language: English
Author: Felix Klein
ISBN: 9780486835105
Publisher: Dover Publications
Publication: October 17, 2018
Imprint: Dover Publications
Language: English

A great researcher, writer, and teacher in an era of tremendous mathematical ferment, Felix Klein (1849–1925) occupies a prominent place in the history of mathematics. His many talents included an ability to express complicated mathematical ideas directly and comprehensively, and this book, a consideration of the investigations in the first part of Riemann's Theory of Abelian Functions, is a prime example of his expository powers.
The treatment 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. The text 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. Klein's primary concern is preserving the sequence of thought and offering intuitive explanations of Riemann's notions, rather than furnishing detailed proofs. Deeply significant in the area of complex functions, this work constitutes one of the best introductions to the origins of topological problems.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

A great researcher, writer, and teacher in an era of tremendous mathematical ferment, Felix Klein (1849–1925) occupies a prominent place in the history of mathematics. His many talents included an ability to express complicated mathematical ideas directly and comprehensively, and this book, a consideration of the investigations in the first part of Riemann's Theory of Abelian Functions, is a prime example of his expository powers.
The treatment 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. The text 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. Klein's primary concern is preserving the sequence of thought and offering intuitive explanations of Riemann's notions, rather than furnishing detailed proofs. Deeply significant in the area of complex functions, this work constitutes one of the best introductions to the origins of topological problems.

More books from Dover Publications

Cover of the book The Metaphysical Foundations of Modern Science by Felix Klein
Cover of the book Memoirs of a Revolutionist by Felix Klein
Cover of the book Group Theory by Felix Klein
Cover of the book Zen for Christians by Felix Klein
Cover of the book Great French Short Stories by Felix Klein
Cover of the book The Awakening of Faith by Felix Klein
Cover of the book Treasury of Japanese Designs and Motifs for Artists and Craftsmen by Felix Klein
Cover of the book Nordenholt's Million by Felix Klein
Cover of the book None But the Lonely Heart and Other Songs for High Voice by Felix Klein
Cover of the book An Adventurer's Guide to Number Theory by Felix Klein
Cover of the book Six Characters in Search of an Author by Felix Klein
Cover of the book Ocean Wave Energy Conversion by Felix Klein
Cover of the book Lunar Impact: The NASA History of Project Ranger by Felix Klein
Cover of the book Moroccan Silk Designs in Full Color by Felix Klein
Cover of the book Tulips & Chimneys by Felix Klein
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy