Overview
- Unique, authoritative text on a dynamic and active subject area written by three founders of the field
- Comprehensive treatment of the topic, with abundant examples and references
- Both accessible to beginners and meaningful for experienced researchers in the field
- Useful as a textbook in graduate courses on complex analysis
- Includes supplementary material: sn.pub/extras
Part of the book series: Progress in Mathematics (PM, volume 291)
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Table of contents (11 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
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)Authors and Affiliations
About the authors
Steven G. Krantz received the B.A. degree from the University of California at Santa Cruz and the Ph.D. from Princeton University. Â He has taught at UCLA, Princeton, Penn State, and Washington University, where he has most recently served as Chair of the Mathematics Department.
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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.
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A prolific scholar, Krantz has published more than 55 books and more than 160 academic papers.
Bibliographic Information
Book Title: The Geometry of Complex Domains
Authors: Robert E. Greene, Kang-Tae Kim, Steven G. Krantz
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-0-8176-4622-6
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2011
Hardcover ISBN: 978-0-8176-4139-9Published: 30 May 2011
eBook ISBN: 978-0-8176-4622-6Published: 18 May 2011
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: XIV, 303
Number of Illustrations: 14 b/w illustrations
Topics: Several Complex Variables and Analytic Spaces, Analysis, Dynamical Systems and Ergodic Theory, Geometry