Function Theory of One Complex Variable

Greene, R.E. and Krantz, S.G.

ISBN 10: 0821839624 / ISBN 13: 9780821839621

Published by American Mathematical Society, 2006

About this Item

This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In poor condition, suitable as a reading copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,1200grams, ISBN:9780821839621.

Seller Inventory # 8623033

Bibliographic Details

• Title: Function Theory of One Complex Variable
• Publisher: American Mathematical Society
• Publication Date: 2006
• Language: English
• ISBN 10: 0821839624
• ISBN 13: 9780821839621
• Binding: Hardcover
• Edition: 3rd Edition
• Condition: Poor
• Weight: 1200 grams
• Seller catalogs:
  • Mathematics

About this title

Synopsis

Complex analysis is one of the most central subjects in mathematics. It is compelling and rich in its own right, but it is also remarkably useful in a wide variety of other mathematical subjects, both pure and applied. This book is different from others in that it treats complex variables as a direct development from multivariable real calculus. As each new idea is introduced, it is related to the corresponding idea from real analysis and calculus. The text is rich with examples and exercises that illustrate this point. The authors have systematically separated the analysis from the topology, as can be seen in their proof of the Cauchy theorem. The book concludes with several chapters on special topics, including full treatments of special functions, the prime number theorem, and the Bergman kernel. The authors also treat $H^p$ spaces and Painlevé's theorem on smoothness to the boundary for conformal maps. This book is a text for a first-year graduate course in complex analysis. It is an engaging and modern introduction to the subject, reflecting the authors' expertise both as mathematicians and as expositors.

About the Author

ROBERT E. GREENE is a professor in the Department of Mathematics at the University of California at Los Angeles. <P>STEVEN G. KRANTZ is a professor in the Department of Mathematics at Washington University in St. Louis, Missouri.