Synopsis
An accessible, rigorous introduction to complex functions that unites core methods
This edition presents the theory of functions of a complex variable with clear aims: to introduce beginning students to both the geometric and analytic viewpoints. It blends Riemann’s geometric approach with Weierstrassian rigor, showing how each method contributes to understanding complex functions.
Topics move from the basics of complex numbers and their geometric representation to single-valued analytic functions, the exponential and trigonometric functions, and the ideas behind conformal representations. The text also surveys the RIEMANN surface, the notion of analytic continuation, and related theorems that structure the subject.
- Foundations: complex numbers, geometry, and basic representations
- Analytic theory: regular functions, derivatives, and integrals
- Special functions: exponential, sine, cosine, and their identities
- Conformal mappings and geometric transformations
- Introductory concepts of the RIEMANN surface and analytic continuation
Ideal for readers beginning a study of complex analysis or seeking a solid, practical overview of the subject.
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Theory of Functions of a Complex Variable (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This seminal book from the 19th century introduces beginners to the theory of functions, a foundational concept in modern mathematics. Derived from trigonometry, it profoundly impacted geometry and the study of complex numbers. The author provides a detailed look at rational functions and conformal representations determined by them. He adeptly guides the reader through proofs of fundamental theorems and discusses transformations of the plane into itself. The ideas and techniques laid out in this book helped pave the way for further exploration in the field of complex analysis. 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 # 9781440040368_0
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Theory of Functions of a Complex Variable (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781440040368
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Theory of Functions of a Complex Variable: Authorized Translation from the Fourth German Edition (Classic Reprint)
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Paperback. Condition: Brand New. 434 pages. 9.00x6.00x0.98 inches. This item is printed on demand. Seller Inventory # zk1440040362
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