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.
| ISBN: | 9780883850350 |
| Publication date: | 30th December 2003 |
| Author: | Steven G Krantz |
| Publisher: | Mathematical Association of America an imprint of The Mathematical Association of America |
| Format: | Hardback |
| Pagination: | 219 pages |
| Series: | The Carus Mathematical Monographs |
| Genres: |
Complex analysis, complex variables |
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.
Complex Analysis features in the following genres: Complex analysis, complex variables
Complex Analysis is available in Hardback, Paperback
Complex Analysis was written by Steven G Krantz and published by Mathematical Association of America an imprint of The Mathematical Association of America
Complex Analysis has 219 pages
Yes it is part of The Carus Mathematical Monographs series