Synopsis
A clear, authoritative guide to the theory of complex variables, with practical paths from fundamentals to advanced topics. This edition helps readers see how complex analysis informs problems in math and physics.
The book presents core ideas in a steady, student-friendly way. It covers analytic functions, power and Fourier series, and the geometry of mappings, then moves to applications in differential equations and elliptic functions. Throughout, the presentation emphasizes methods, proofs, and the structure of the subject, making it suitable for a first course or as a reliable reference for more advanced study.
What you will experience
- Foundations of analytic functions, Cauchy’s and Laurent’s ideas, and zero-pole analysis
- Power series, convergence tests, and the behavior of complex functions
- Techniques for differentiation, integration, and inversion of series
- Introductions to elliptic functions and related applications in physics
Ideal for readers of mathematics, physics, and engineering who want a rigorous, accessible treatment of functions of a complex variable and their applications.
"synopsis" may belong to another edition of this title.
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Functions of a Complex Variable, Vol. 3 (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book provides an introduction to the theory of functions of a complex variable, a branch of mathematics developed in the 19th century that has revolutionized many areas of science, especially physics. Dealing with complex numbers, which are numbers that have both a real and imaginary part, the book provides a detailed overview of operations like addition, subtraction, multiplication, and division of complex numbers. It also delves into topics such as sequences and series, limits, continuity, derivatives, integration, and power series, alongside their geometric and analytical interpretations. By combining mathematical rigor, historical context, and practical applications, this book is ideal for students seeking to master the theory of complex variables and its applications in fields like engineering, physics, and computer science. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781334562952_0
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Functions of a Complex Variable, Vol. 3 (Classic Reprint)
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