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Complex Analysis with Applications (Dover Books on Mathematics)

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Book Details

  • Author: Richard A. Silverman

  • Publisher: Dover

  • Binding: Paperback

  • Number of Pages: 304

  • Release Date: 01-09-1986

  • ISBN: 9780486647623

  • Package Dimensions: 8.4 x 5.5 x 0.7 inches

  • Languages: English

About The Book
"Functions of a Complex Variable" by Richard A. Silverman offers a clear and accessible introduction to the fundamental concepts of complex analysis, making it an invaluable resource for students, scientists, and engineers. The book focuses on providing the essential knowledge that every scientist or engineer should know about complex variables, avoiding unnecessary complexity.

The text covers a wide range of critical topics such as complex numbers, Cauchy theory, power series, residues, and much more. Through Silverman's concise explanations and lively writing style, readers will gain a solid understanding of complex analysis without feeling overwhelmed by extraneous details. Key chapters include discussions on complex functions, Taylor and Laurent series, differentiation and integration in the complex plane, and mapping of polygonal domains.

With abundant examples, exercises, and chapter-end comments, this book serves as an excellent guide for beginners, ensuring that they can grasp key concepts of complex analysis with ease. It also includes valuable applications of residues and complex series, making it particularly helpful for anyone encountering this subject for the first time. Whether you're a student or a professional looking to strengthen your understanding of complex analysis, this book provides a straightforward and efficient learning experience.