Foundations of complex analysis
Ponnusamy, S.
Foundations of complex analysis - 2nd - New Delhi Narosa Publishing House 2019 - xi, 508p. With index
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.
http://www.narosa.com/books_display.asp?catgcode=978-81-7319-629-4
9788173196294
Functional analysis
Complex numbers
Functions of complex variables
Mathematical analysis
515.9 / P6F6
Foundations of complex analysis - 2nd - New Delhi Narosa Publishing House 2019 - xi, 508p. With index
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.
http://www.narosa.com/books_display.asp?catgcode=978-81-7319-629-4
9788173196294
Functional analysis
Complex numbers
Functions of complex variables
Mathematical analysis
515.9 / P6F6