Book Summary of FOUNDATIONS OF COMPLEX ANALYSIS / 2ND EDN.
Foundations of Complex Analysis is aimed at giving students a good foundation of complex analysis and provides a basis for solving problems in mathematics, physics, engineering and many other sciences. Each chapter is supplemented with well-structured examples, and exercises with hints and outlines for solutions. This book can be used as a textbook for a two semester course in complex analysis, or as a supplementary text for an advanced course in function theory. This second edition has gone through a major revision of the 1995 edition. As far as possible many sections are made less dependent on other sections in order to ensure flexibility in designing a course content.
Key Features
- New to the Second Edition.
- Hadamard’s three circles theorem.
- Schwarz-Pick lemma.
- Poisson Integral Formula.
- Monodromy theorem.
- Hadamard product representation.
- Riemann mapping theorem.
- Picard’s little theorem The author has published over 80 research articles, research monographs, and text books including Foundations of Functional Analysis (Narosa Publishing House, India).
Table of Contents
- Preface to the Second Edition
- Complex Numbers
- Functions, Limit and Continuity
- Analytic Functions and Power Series
- Complex Integration
- Conformal Mappings and Möbius Transformations
- Maximum Principle, Schwarz’ Lemma, and Liouville’s Theorem
- Classification of Singularities
- Calculus of Residues
- Evaluation of certain Integrals
- Analytic Continuation
- Representations for Meromorphic and Entire Functions
- Mapping Theorems Bibliography
- Index of Special Notations
- Hints and Solutions for Selected Exercises
- Index.
Details of Book: FOUNDATIONS OF COMPLEX ANALYSIS / 2ND EDN.
| Book: | FOUNDATIONS OF COMPLEX ANALYSIS / 2ND EDN. |
| Author: | S Ponnusamy |
| ISBN: | 817319629X |
| ISBN-13: | 9788173196294,978-8173196294 |
| Binding: | Paperback |
| Publishing Date: | 2008 |
| Publisher: | NAROSA BOOK DISTRIBUTORS PVT LTD-NEW DELHI |
| Edition: | 02 |
| Number of Pages: | 520 |
| Language: | English |
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