Synopsis
A new approach that treats complex analysis in a broad context
This book presents a new approach to one of mathematics' oldest fields. It departs from the tradition of teaching complex analysis as a self-contained subject and, instead, treats the subject as a natural development from calculus. It also shows how complex analysis is used in other areas, exploring connections with calculus, algebra, geometry, topology, and other parts of analysis.
The authors provide the ideal framework for a first-year graduate course in complex analysis—building upon ideas the student is already familiar with and simplifying the transition to advanced topics. The book is also for those using complex numbers and functions in applied fields, including engineering, physics, and other areas.
Function Theory of One Complex Variable
- Compares and contrasts complex variable theory with real variable theory
- Clarifies analytical ideas belonging to complex analysis by separating them from topological issues
- Discusses some of the current research in the field, including a number of interesting topics not discussed in other textbooks
- Features many examples as well as 75 illustrations
- Provides especially thorough exercise sets
"synopsis" may belong to another edition of this title.
About the Author
ROBERT E. GREENE is a professor in the Department of Mathematics at the University of California at Los Angeles.
STEVEN G. KRANTZ is a professor in the Department of Mathematics at Washington University in St. Louis, Missouri.
From the Back Cover
A new approach that treats complex analysis in a broad context
This book presents a new approach to one of mathematics' oldest fields. It departs from the tradition of teaching complex analysis as a self-contained subject and, instead, treats the subject as a natural development from calculus. It also shows how complex analysis is used in other areas, exploring connections with calculus, algebra, geometry, topology, and other parts of analysis.
The authors provide the ideal framework for a first-year graduate course in complex analysis--building upon ideas the student is already familiar with and simplifying the transition to advanced topics. The book is also for those using complex numbers and functions in applied fields, including engineering, physics, and other areas.
Function Theory of One Complex Variable Compares and contrasts complex variable theory with real variable theory Clarifies analytical ideas belonging to complex analysis by separating them from topological issues Discusses some of the current research in the field, including a number of interesting topics not discussed in other textbooks Features many examples as well as 75 illustrations Provides especially thorough exercise sets
"About this title" may belong to another edition of this title.
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Function Theory of One Complex Variable - Pure and Applied Mathematics: a Wiley Series of Texts, Monographs and Tracts
Published by
Wiley Blackwell, U. S. A, 1997
ISBN 10: 0471804681
ISBN 13: 9780471804680
Used
Hardcover
First Edition
Seller: Literary Cat Books, Machynlleth, Powys, WALES, United Kingdom
Seller rating 3 out of 5 stars
Hardcover. Condition: Near Fine. Dust Jacket Condition: No Dust Jacket. First Edition (?); First Impression. A modern and sophisticated introduction to complex analysis, this volume presents one-variable function theory as a natural extension of multivariable real calculus. Designed primarily for first-year graduate students, this text emphasises rigorous analysis while highlighting connections to broader mathematical areas such as topology, geometry, algebra, and special functions. Filled with numerous examples, detailed exercise sets, and over 75 illustrations, it explores standard topics holomorphic functions, contour integrals, Cauchy's theorem and residues as well as deeper themes including the Bergman kernel, Hardy spaces, and the prime number theorem. A valuable resource for students and practitioners seeking a unified and rigorous presentation of classical complex analysis. ; 16.7x24.5x3.3cm; 512 pages. Seller Inventory # 64120
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