Complex Analysis – The Geometric Viewpoint
The Geometric Viewpoint
Series: Carus Mathematical Monographs; 23;
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Product details:
- Edition number 2, Revised
- Publisher MP–AMM American Mathematical
- Date of Publication 30 December 2003
- Number of Volumes Hardback
- ISBN 9780883850350
- Binding Hardback
- No. of pages234 pages
- Size 229x152x15 mm
- Weight 392 g
- Language English
- Illustrations 38 b/w illus. 10 exercises 0
Categories
Short description:
Advanced textbook on central topic of pure mathematics.
MoreLong description:
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 non-Euclidean 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 re-thinking 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. Poincar&&&233;'s theorem, that the ball and bidisc are biholomorphically inequivalent, is discussed and proved.
'A first-rate book, which can be used either as a text or a reference.' Choice
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