The Theory and Practice of Conformal Geometry (Aurora: Dover Modern Math Originals) - Softcover

Krantz, Steven

Softcover

ISBN 10: 0486793443 ISBN 13: 9780486793443

Publisher: Dover Publications Inc., 2016

Synopsis

In this original text, prolific mathematics author Steven G. Krantz addresses conformal geometry, a subject that has occupied him for four decades and for which he helped to develop some of the modern theory. This book takes readers with a basic grounding in complex variable theory to the forefront of some of the current approaches to the topic. "Along the way," the author notes in his Preface, "the reader will be exposed to some beautiful function theory and also some of the rudiments of geometry and analysis that make this subject so vibrant and lively."
More up-to-date and accessible to advanced undergraduates than most of the other books available in this specific field, the treatment discusses the history of this active and popular branch of mathematics as well as recent developments. Topics include the Riemann mapping theorem, invariant metrics, normal families, automorphism groups, the Schwarz lemma, harmonic measure, extremal length, analytic capacity, and invariant geometry. A helpful Bibliography and Index complete the text.

About this title

About the Author

Steven G. Krantz is Professor of Mathematics at Washington University in St. Louis. He is Editor of the Notices of the American Mathematical Society and the author of many books in mathematics, including Real Analysis and Foundations: Third Edition, The Proof is in the Pudding: The Changing Nature of Mathematical Proof, and A Mathematician Comes of Age.

Edition details

• Publisher: Dover Publications Inc.
• Publication date: 2016
• Language: English
• ISBN 10: 0486793443
• ISBN 13: 9780486793443
• Binding: Paperback
• Number of pages: 288