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040    CtWfDGI|beng|erda|cCtWfDGI 
041 1  eng|hger 
050  4 QA331 
082 04 515/.9|223 
100 1  Klein, Felix,|d1849-1925,|eauthor. 
240 10 Über Reimanns Theorie der algebräischen Funktionen und 
       ihrer Integrale.|lEnglish 
245 10 On Riemann's Theory of Algebraic Functions and Their 
       Integrals :|bA Supplement to the Usual Treatises /|cFelix 
       Klein. 
264  1 [Place of publication not identified] :|bDover 
       Publications,|c[2018] 
264  4 |c©2018 
300    1 online resource (96 pages) 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
506    Access limited to subscribing institutions. 
520    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. 
588 0  Print version record. 
650  0 Riemann surfaces. 
650  0 Functions. 
650  7 MATHEMATICS / Algebra / Abstract.|2bisacsh 
655  0 Electronic books. 
700 1  Hardcastle, Frances,|d1866-|etranslator. 
776 08 |iPrint version:|aKlein, Felix, 1849-1925.|tOn Riemann's 
       theory of algebraic functions and their integrals.
       |dMineola, New York : Dover Publications, 2018.
       |z9780486828336|w(DLC)2018016570 
914    frd00026166