Synopsis
Explore the theory of functions of a complex variable, presented as an accessible, unified introduction
This edition surveys the central ideas in complex analysis, weaving together geometric intuition and rigorous proofs. It blends classical approaches and modern developments to help beginners grasp how complex numbers behave under analytic methods, with careful attention to foundational concepts and key theorems.
The book opens by building the algebra and geometry of complex numbers, then moves through rational and again to many-valued functions. It emphasizes conformal representations, the role of the RIEMANN surface, and the historic connections between RIEMANN, WEIERSTRASS, and other pioneers. The exposition introduces the exponential and trigonometric functions for complex arguments, including their addition theorems and fundamental relations, before turning to singularities, Laurent series, and the general theory of analytic continuation. A clear pathway is provided for readers who want both theoretical understanding and practical problem-solving tools.
- Foundational concepts: complex numbers, functions, and geometric representation
- Core theorems on regular and single-valued analytic functions
- Techniques in conformal mapping, rational and algebraic functions
- Expanded treatment of exponential, trigonometric, and multivalued functions
Ideal for readers of math and analysis who seek a compact, rigorous introduction to the theory of complex variables.
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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 (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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