Complex Analysis: The Geometric Viewpoint (Carus Mathematical Monographs, Series Number 23) - Hardcover

Steven G. Krantz

Hardcover

ISBN 10: 0883850265 ISBN 13: 9780883850268

Publisher: The Mathematical Association of America, 1990

Synopsis

Geometric methods have been used in complex analysis since the 1930s. Since that time they have become a central part of the research activities of complex analysis. However, these important techniques have never found their way into a text accessible to a broad audience. Steven G. Krantz, a leading worker in complex analysis and a well-known mathematical expositor, has written the first book explaining how complex analysis can be studied using methods of geometry, using the minimum of geometric formalism 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. The author assumes no background in Riemannian geometry, and only one semester of complex analysis (a review of relevant topics in the classical theory of one complex variable is provided). This inviting book will appeal to students in mathematics, applied mathematics, and physics.

About this title

Book Description

This is the first book explaining how complex analysis can be studied using methods of geometry, using minimum of geometric formalism 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. The author assumes only one semester of complex analysis, making the book suitable for undergraduate students in pure and applied mathematics and physics.

About the Author

Steven G. Krantz, currently Professor and Chairman of Mathematics at Washington University in St. Louis, earned hid PhD at Princeton University and has taught at UCLA, Princeton University and Pennsylvania State University. He is the recipient of the UCLA Alumni Foundation Distinguished Teaching Award, the MAA’s Chauvenet Prize, the MAA Beckenbach Book Award, and the Outstanding Academic Book Award of the Current Review of Academic Libraries. He has written numerous books including: "Function Theory of Several Complex Variables," "Real Analysis and Foundations, The Geometry of Domains in Space" (with Harold R. Parks)," Function Theory of One Complex Variable" (with Robert E. Greene), "The Implicit Function Theorem "(with Harold Parks and "A Panorama of Harmonic Analysis" and "Mathematical Apocrypha" (for the MAA). He is also the author of over one-hundred research articles.

Edition details

• Publisher: The Mathematical Association of America
• Publication date: 1990
• Language: English
• ISBN 10: 0883850265
• ISBN 13: 9780883850268
• Binding: Hardcover
• Edition number: 1
• Number of pages: 212