Complex Analysis: The Geometric Viewpoint (Carus Mathematical Monographs) - The Geometric Viewpoint (The Carus Mathematical Monographs #23) - Steven G. Krantz (2004)
ISBN 0883850265
Subject Fonctions d'une variable complexe; Functions of complex variables; Ge´ome´trie diffe´rentielle; Geometry, Differential
Publisher The Mathematical Association of America
Publication Date January 2004
Format Hardcover (213 x 140 mm)
Language English
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. Poincaré's theorem, that the ball and bidisc are biholomorphically inequivalent, is discussed and proved.
Personal Details
Collection Status In Collection
Index 2255
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Product Details
LoC Classification QA331.7.K73 1990 copy 2
Dewey 515/.9
Edition 2nd ed.
Cover Price $54.00
No. of Pages 234