Klik op een omslag om naar Google Boeken te gaan.
Bezig met laden... On Riemann's Theory of Algebraic Functions and Their Integrals: A Supplement to the Usual Treatises (Dover Phoenix Editidoor Felix Klein
Geen Bezig met laden...
Meld je aan bij LibraryThing om erachter te komen of je dit boek goed zult vinden. Op dit moment geen Discussie gesprekken over dit boek. Geen besprekingen geen besprekingen | voeg een bespreking toe
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. Geen bibliotheekbeschrijvingen gevonden. |
Actuele discussiesGeenPopulaire omslagen
Google Books — Bezig met laden... GenresDewey Decimale Classificatie (DDC)515Natural sciences and mathematics Mathematics AnalysisLC-classificatieWaarderingGemiddelde: Geen beoordelingen.Ben jij dit?Word een LibraryThing Auteur. |