Function Theory of One Complex Variable: Third Edition

Robert E. Greene And Steven G. Krantz

ISBN 10: 0821839624 / ISBN 13: 9780821839621

Published by American Mathematical Society, 2006

About this Item

Gently read. May have name of previous ownership, or ex-library edition. Binding tight; spine straight and smooth, with no creasing; covers clean and crisp. Minimal signs of handling or shelving. 100% GUARANTEE! Shipped with delivery confirmation, if you're not satisfied with purchase please return item! Ships USPS Media Mail.

Seller Inventory # OTV.0821839624.VG

Bibliographic Details

• Title: Function Theory of One Complex Variable: Third Edition
• Publisher: American Mathematical Society
• Publication Date: 2006
• Language: English
• ISBN 10: 0821839624
• ISBN 13: 9780821839621
• Binding: Hardcover
• Edition: 3rd Edition
• Condition: very_good

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.