Function Theory of Several Complex Variables (AMS Chelsea Publishing) - Hardcover

Steven G. Krantz

Hardcover

ISBN 10: 0821827243 ISBN 13: 9780821827246

Publisher: American Mathematical Society, 2001

Synopsis

This work departs from earlier treatments of the subject by emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, the boundary behavior of holomorphic functions, inner functions, invariant metrics, and mapping theory. While due homage is paid to the more traditional algebraic theory (sheaves, Cousin problems, etc.), the student with a background in real and complex variable theory, harmonic analysis, and differential equations will be most comfortable with this treatment. <P>It is currently the only book on the subject with exercises and a large number of examples.

About this title

About the Author

Steven G. Krantz is an accomplished mathematician and an award-winning author. He has published more than 150 research articles and over 50 books. He has worked as an editor of several book series, research journals, and for the Notices of the AMS.

Review

"This book makes available a comprehensive, detailed and carefully organized treatment of the foundations for multidimensional complex analysis. ...provides all sorts of topics and exercises which stretch the imagination and show how useful the subject really is." ---- Zentralblatt MATH

"One of the remarkable features of this book is that it contains a large number of exercises and problems. ...the student needs a book like Krantz's, which is written as a text with explainations and exercises." ---- Bulletin of the American Mathematical Society

Edition details

• Publisher: American Mathematical Society
• Publication date: 2001
• Language: English
• ISBN 10: 0821827243
• ISBN 13: 9780821827246
• Binding: Hardcover
• Edition number: 2
• Number of pages: 564