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Complex Variables (Dover Books on Mathematics)

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Book Details

  • Author: Fisher, Stephen D.

  • Publisher: Dover

  • Edition: 2

  • Binding: Paperback

  • Number of Pages: 448

  • Release Date: 16-02-1999

  • ISBN: 9780486406794

  • Package Dimensions: 9.2 x 6.2 x 1.1 inches

  • Languages: English

About The Book
"Complex Variables" by Stephen D. Fisher offers a comprehensive introduction to the theory and applications of complex variables. This well-organized text is designed for undergraduates and graduate students in science, mathematics, and engineering, providing a deep understanding of complex variables while emphasizing their beauty and mathematical elegance.

The book is accessible, requiring only a three-semester course in calculus as a prerequisite. It covers foundational topics, such as the complex plane, properties of analytic functions, Cauchy's Theorem, analytic functions as mappings, and applications of analytic and harmonic functions. Fisher also introduces transform methods, making this text suitable for those exploring complex analysis in practical contexts.

Students will benefit from hundreds of solved examples, exercises, and applications, which foster both theoretical understanding and appreciation of complex analysis. The inclusion of helpful appendices—featuring tables of conformal mappings, Laplace transforms, and solutions to odd-numbered exercises—enhances the practical use of the material. Clear, concise proofs throughout the book make it an invaluable resource for students and educators, providing a thorough grounding in the subject while encouraging deeper exploration of the topic.