Foundations of complex analysis
Material type:
- 9788173196294
- 515.9 P6F6
Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds | |
---|---|---|---|---|---|---|---|---|
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Ahmedabad General Stacks | Non-fiction | 515.9 P6F6 (Browse shelf(Opens below)) | Available | 199391 |
Table of Contents
1 Complex Numbers
2 Functions, Limit and Continuity
3 Analytic Functions and Power Series
4 Complex Integration
5 Conformal Mappings and Möbius Transformations
6 Maximum Principle, Schwarz’ Lemma, and Liouville’s Theorem
7 Classification of Singularities
8 Calculus of Residues
9 Evaluation of certain Integrals
10 Analytic Continuation
11 Representations for Meromorphic and Entire Functions
12 Mapping Theorems
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.
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