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Complex Variables (2nd Edition) by Robert B. Ash




Complex Variables (2nd Edition) - Table of Contents

  • 1. Introduction
  • 2. The Elementary Theory of Analytic Functions
  • 3. The General Cauchy Theorem
  • 4. Applications of the Cauchy Theory
  • 5. Families of Analytic Functions
  • 6. Factorization of Analytic Functions
  • 7. The Prime Number Theorem

What You Will Learn in Complex Variables (2nd Edition)

Complex Variables by Robert B. Ash and W. P. Novinger is a concise, highly accessible textbook designed for advanced undergraduate and graduate students in mathematics and engineering. Serving as a foundational study reference, this volume provides a robust framework for complex variables problem solving practice.

The book systematically covers complex numbers, analytic functions, Cauchy’s theorem, power series representations, Laurent expansions, residue calculus, and conformal mapping techniques. By pairing step-by-step logical clarity with focused geometrical intuition, Ash enables students to execute essential contour integrals and residue theorem calculations with precision.

Treasured in mathematical analysis courses for its self-contained style, manageable exercise sets, and clear proofs, this volume remains an ideal self-study guide. Ash’s student-friendly pedagogy equips self-learners and students alike with vital analytical tools required for mastering modern complex analysis principles.

Book Details & Specifications

Title: Complex Variables (2nd Edition) by Robert B. Ash
Publisher: Dover Publications
Year: 2007
Pages: 220
Type: PDF
Language: English
ISBN-10 #: 0486462501
ISBN-13 #: 978-0486462509
License: University Educational Resource
Amazon: Amazon

About the Author: Robert B. Ash

The author Robert B. Ash was Professor Emeritus of Mathematics at the University of Illinois at Urbana-Champaign, world-renowned for his crystal-clear graduate mathematics textbooks.

Co-authoring alongside W. P. Novinger, Professor Ash created student-centered learning resources that deliver comprehensive complex analysis and contour integration study guides.


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