Functions of a Complex Variable (Classic Reprint)
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 18.84
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book, an introductory account of the theory of functions of a complex variable, presents foundational principles as well as advanced concepts, equipping readers with the tools to explore more specialized areas of mathematics. The author's clear and detailed exposition covers introductory topics such as the representation of complex numbers and elementary functions, the definition of a function as monogenic, and the application of complex functions to conformal representation. Advanced concepts include singular points, branch points, Cauchy's Theorem, and Riemann surfaces. The author presents Taylor's and Laurent's series and examines functions having an infinite number of values. Throughout, the book emphasizes graphical representation and provides many concrete examples and problems, helping readers understand and apply the presented material. This book serves as a valuable resource for mathematicians, physicists, and engineers, providing a solid foundation for further study of complex analysis and its applications in various fields. 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.…
Seller Inventory # 9781440070341_0
- Title
- Functions of a Complex Variable (Classic Reprint)
- Author
- Thomas S. Fiske
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1440070342
- ISBN 13
- 9781440070341
- Seller catalogs
- Calculus
Master the essentials of complex analysis with a concise, practical guide.
This introduction covers the core ideas of functions of a complex variable, from basic definitions to key theorems, in a clear, learner-friendly way. This edition presents a compact path through foundational concepts, including how complex functions are defined, how series represent them, and how to work with convergence, derivatives, and integrals. It highlights important tools like Cauchy’s theorem, residues, and Weierstrass’s and Mittag-Leffler’s theorems, with approachable explanations and worked examples.
- Foundations: independent variables, complex numbers, and the notion of a function in the complex plane
- Series and convergence: absolute and uniform convergence, power series, and their role in defining functions
- Core theorems: Cauchy’s theorem, residues, and the interplay between real and complex integration
- Special topics: conformal representation, analytic properties, and fundamental series (Taylor, Laurent, Fourier)
"Synopsis" may belong to another edition of this title.
Forgotten Books
London, United Kingdom
AbeBooks seller since June 2, 2021
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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