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: Hardback
Length: 220 pages
Publication date: 21 July 2023
Publisher: World Scientific Publishing Co Pte Ltd

The book is a comprehensive and rigorous introduction to complex analysis, designed for undergraduate students who have completed courses in multivariable calculus and linear algebra. It serves as a foundational text for students pursuing joint programs in mathematics and engineering, emphasizing the importance of rigorous mathematical principles. The primary objective of the book is to provide a solid foundation in complex analysis, covering the essential topics with minimal prerequisites.

The core content of the book revolves around three fundamental pillars: the Cauchy-Riemann equations, the Cauchy Integral Theorem, and Taylor and Laurent series. Each section includes a series of problems, designed to reinforce the key concepts 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. Numerous figures are included throughout the text to enhance understanding and visualization.

In the second edition, the authors have corrected errors from the first edition and added 89 new exercises, covering auxiliary topics that were omitted in the first edition. Two new appendices have also been included, one providing a detailed rigorous proof of the Cauchy Integral Theorem and another offering background in real analysis necessary to make the book self-contained.

Overall, the book is an invaluable resource for students seeking to deepen their understanding of complex analysis, and its concise and rigorous approach makes it suitable for both self-study and classroom instruction.

ISBN-13: 9789811272806
Edition number: Second Edition