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Jump down to see edition details for: Hardcover
Bibliographic Detail
Publisher
Amer Mathematical Society
Publication date
January 1, 2002
Pages
502
Binding
Hardcover
Book category
Adult Non-Fiction
ISBN-13
9780821829059
ISBN-10
082182905X
Dimensions
1.25 by 7.50 by 10.50 in.
Weight
2.50 lbs.
Original list price
$72.00
Other format details
sci/tech
Amazon.com says people who bought this book also bought:
Abstract Algebra | Complex Analysis | Basic Algebra II | Complex Analysis | Basic Algebra I
Abstract Algebra | Complex Analysis | Basic Algebra II | Complex Analysis | Basic Algebra I
Summaries and Reviews
(view table of contents)
Amazon.com description: Product Description: Complex analysis is one of the most beautiful subjects that we learn as graduate students. Part of the joy comes from being able to arrive quickly at some "real theorems". The fundamental techniques of complex variables are also used to solve real problems in neighboring subjects, such as number theory or PDEs. This book is a text for a first-year graduate course in complex analysis. It is an engaging and modern introduction to the subject, reflecting the authors' expertise both as mathematicians and as expositors. All the material usually treated in such a course is covered here, but following somewhat different principles. To begin with, the authors emphasize how this subject is a natural outgrowth of multivariable real analysis. Complex function theory has long been a flourishing independent field. However, an efficient path into the subject is to observe how its rudiments arise directly from familiar ideas in calculus. The authors pursue this point of view by comparing and contrasting complex analysis with its real variable counterpart. Explanations of certain topics in complex analysis can sometimes become complicated by the intermingling of the analysis and the topology. Here, the authors have collected the primary topological issues in a separate chapter, leaving the way open for a more direct and less ambiguous approach to the analytic material. The book concludes with several chapters on special topics, including full treatments of special functions, the prime number theorem, and the Bergman kernel. The authors also treat $H^p$ spaces and Painlevé's theorem on smoothness to the boundary for conformal maps. A large number of exercises are included. Some are simply drills to hone the students' skills, but many others are further developments of the ideas in the main text. The exercises are also used to explore the striking interconnectedness of the topics that constitute complex analysis.
Editions
Hardcover
3 edition from Amer Mathematical Society (April 30, 2006)
9780821839621 | details & prices | 504 pages | 7.25 × 10.50 × 1.50 in. | 2.45 lbs | List price $86.00
About: Complex analysis is one of the most central subjects in mathematics.
About: Complex analysis is one of the most central subjects in mathematics.
The price comparison is for this edition
from Amer Mathematical Society (January 1, 2002)
9780821829059 | details & prices | 502 pages | 7.50 × 10.50 × 1.25 in. | 2.50 lbs | List price $72.00
About: Complex analysis is one of the most beautiful subjects that we learn as graduate students.
About: Complex analysis is one of the most beautiful subjects that we learn as graduate students.
from Wiley-Interscience (January 1, 1997)
9780471804680 | details & prices | 496 pages | 6.50 × 9.50 × 1.25 in. | 2.00 lbs | List price $99.95
About: This volume connects complex analysis with calculus, algebra, geometry, topology, and analysis.
About: This volume connects complex analysis with calculus, algebra, geometry, topology, and analysis.
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