Friendly Approach To Complex Analysis, A

The book is a comprehensive and rigorous introduction to complex analysis, suitable for undergraduate students with a background in multivariable calculus and linear algebra. It covers the core concepts of the subject, including the Cauchy-Riemann equations, Cauchy Integral Theorem, and Taylor and Laurent series, with detailed solutions to all exercises. The second edition includes 89 new exercises and two new appendices.

Format: Paperback / softback
Length: 220 pages
Publication date: 21 July 2023
Publisher: World Scientific Publishing Co Pte Ltd

This comprehensive textbook serves as an essential introduction to complex analysis for undergraduate students who have already acquired a solid foundation in multivariable calculus and linear algebra. Designed with the needs of joint programs in mathematics and engineering in mind, it offers a rigorous yet concise treatment of the subject. The primary objective of the book is to provide a solid foundation in complex analysis, covering the core concepts with minimal prerequisites.

The heart of the book revolves around three fundamental pillars: the Cauchy-Riemann equations, the Cauchy Integral Theorem, and Taylor and Laurent series. Each section is accompanied by a series of problems, designed to reinforce the key principles rather than serve as mere drill exercises. Detailed solutions to all 243 exercises are provided at the end of the book, making it an ideal resource for self-study.

To enhance the understanding of the material, numerous figures are included throughout the text, aiding in visualizing complex concepts. Additionally, the second edition of the book has been revised to correct errors from the first edition and includes an additional 89 new exercises, covering auxiliary topics that were omitted in the previous version. Two new appendices have also been added, one providing a rigorous proof of the Cauchy Integral Theorem and another offering background in real analysis necessary to make the book self-contained.

By offering a comprehensive and rigorous exploration of complex analysis, this textbook is an invaluable resource for students seeking to deepen their understanding of this fundamental branch of mathematics.

ISBN-13: 9789811274107
Edition number: Second Edition