Description
This work examines a rich tapestry of themes and concepts and provides a comprehensive treatment of an important area of mathematics, while simultaneously covering a broader area of the geometry of domains in complex space. At once authoritative and accessible, this text touches upon many important parts of modern mathematics: complex geometry, equivalent embeddings, Bergman and Kahler geometry, curvatures, differential invariants, boundary asymptotics of geometries, group actions, and moduli spaces.
The Geometry of Complex Domains can serve as a "coming of age" book for a graduate student who has completed at least one semester or more of complex analysis, and will be most welcomed by analysts and geometers engaged in current research.
About the Author
Steven G. Krantz received the B.A. degree from the University of California at Santa Cruz and the Ph.D. from Princeton University. He has taught at UCLA, Princeton, Penn State, and Washington University, where he has most recently served as Chair of the Mathematics Department.
Krantz has directed 18 Ph.D. Students and 9 Masters students, and is winner of the Chauvenet Prize and the Beckenbach Book Award. He edits six journals and is Editor-in-Chief of three.
A prolific scholar, Krantz has published more than 55 books and more than 160 academic papers.
Reviews
From the reviews:
"The book under review gives an excellent presentation of modern problems related to various characterizations of the holomorphic geometry of domains in Cn and complex manifolds. ... The book may be strongly recommended for researchers and Ph.D. students working in complex analysis." (Marek Jarnicki, Mathematical Reviews, Issue 2012 c)Book Information
ISBN 9780817641399
Author Robert E. Greene
Format Hardback
Page Count 303
Imprint Birkhauser Boston Inc
Publisher Birkhauser Boston Inc
