Complex Analysis

This book covers complex analysis, including holomorphic and analytic functions, singular points, residues, elementary functions, conformal mappings, and applications. It is aimed at advanced undergraduate students of mathematics and engineering and contains a large number of problems and exercises for both classroom use and self-study.

Format: Paperback / softback
Length: 346 pages
Publication date: 10 February 2022
Publisher: Springer Verlag, Singapore

This comprehensive textbook delves into the realm of complex analysis, encompassing a wide range of major topics. It begins by exploring the properties of complex numbers and proceeds to delve into the proofs of fundamental principles of conformal mappings. Within its pages, the book covers a diverse array of subjects, including the study of holomorphic and analytic functions, the classification of singular points, the Laurent series expansion, the theory of residues, and their application to the evaluation of integrals. Moreover, it systematically examines elementary functions, conducts an in-depth analysis of conformal mappings, and showcases their diverse applications. By providing a self-sufficient and independent approach, this book serves as a valuable resource for advanced undergraduate students of mathematics and engineering, as well as those enthusiasts interested in delving into complex analysis with a solid foundation in advanced calculus.

The mathematical exposition in this text aligns with advanced undergraduate courses in mathematical analysis and serves as an introductory guide to the discipline for first-year graduate students. The book is replete with a substantial number of problems and exercises, catering to both classroom instruction and self-study purposes. Each section includes a multitude of standard exercises designed to strengthen fundamental skills and assess comprehension of key concepts. Additionally, there are more theoretically oriented problems that illustrate intricate aspects of the theory. Furthermore, a collection of additional problems is presented as homework assignments, spanning a range of difficulty levels, from straightforward yet not excessively simple exercises to challenging problems of comparable interest.

Weight: 551g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811592218
Edition number: 1st ed. 2021