In this second edition of a Carus Monograph Classic, Steven G. Krantz, a leading worker in complex analysis and a winner of the Chauvenet Prize for outstanding mathematical exposition, develops material on classical nonEuclidean geometry. He shows how it can be developed in a natural way from the invariant geometry of the complex disk. He also introduces the Bergmann kernel and metric and provides profound applications, some of which have never appeared in print before. In general, the new edition represents a considerable polishing and rethinking of the original successful volume. A minimum of geometric formalism is used to gain a maximum of geometric and analytic insight. The climax of the book is an introduction to several complex variables from the geometric viewpoint. Poincare's theorem, that the ball and bidisc are biholomorphically inequivalent, is discussed and proved.
About Steven G. Krantz
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Author  :  Steven G. Krantz 
Publisher  :  Mathematical Association of America 
Data Published  :  09 September 2004 
ISBN  :  0883850354 
EAN  :  9780883850350 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  234 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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