Function Theory of One Complex Variable

Robert E. Greene and Steven G. Krantz

ISBN 10: 0821839624 / ISBN 13: 9780821839621

Published by American Mathematical Society, Providence, RI, 2006

About this Item

Very Good+: shows a bit of superficial scratching to a small area of the upper front panel; a mild nudge to the lower corner tips and a tick of wear to the upper corner tips; mild overall rubbing to the panels; two small coffee stains to the bottom edge of the text block; the publisher's "Complementary Copy" sticker to the lower corner of the front pastedown endpaper; the binding leans ever so slightly but remains perfectly secure; the text is clean. Free of any creased or dog-eared pages in the text. Free of any underlining, hi-lighting or marginalia or marks in the text. A handsome copy, structurally sound and tightly bound, showing mild wear and minor, unobtrusive imperfections. Bright and clean. NOT a Remainder, Book-Club, or Ex-Library. Small 4to (10.25 x 7.25 x 1.25 inches) . Language: English. Weight: 37.8 ounces. Third Edition (2006). Graduate Studies in Mathematics Series, No. 40. Hardcover: Laminate Boards. 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. ; Graduate Studies in Mathematics; Vol. 40; Small 4to 9" - 11" tall; xix, 504 pages.

Seller Inventory # 59217

Bibliographic Details

• Title: Function Theory of One Complex Variable
• Publisher: American Mathematical Society, Providence, RI
• Publication Date: 2006
• Language: English
• ISBN 10: 0821839624
• ISBN 13: 9780821839621
• Binding: Hardcover
• Edition: Third Edition.
• Condition: Very Good+
• Dust Jacket Condition: No Dust Jacket As Issued

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.