Function Theory of One Complex Variable - Pure and Applied Mathematics: a Wiley Series of Texts, Monographs and Tracts
Greene, Robert E. & Steven G. Krantz
Language: English
Published by Wiley Blackwell, U. S. A, 1997
- First Edition
- Hardcover
- Used
Seller: Literary Cat Books, Machynlleth, Powys, Wales, United KingdomLiterary Cat Books
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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
- Title
- Function Theory of One Complex Variable - Pure and Applied Mathematics: a Wiley Series of Texts, Monographs and Tracts
- Author
- Greene, Robert E. & Steven G. Krantz
- Publisher
- Wiley Blackwell, U. S. A
- Publication year
- 1997
- Condition
- Near Fine
- Dust jacket
- No Dust Jacket
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0471804681
- ISBN 13
- 9780471804680
- Edition
- First Edition (?); First Impression.
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
STEVEN G. KRANTZ is a professor in the Department of Mathematics at Washington University in St. Louis, Missouri.
"About the title" may belong to another edition of this title.
Literary Cat Books
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