Sinopsis
Master the tools of complex analysis with a clear, example-driven guide. This classic text introduces the theory of complex variables and its key techniques, including analytic continuation, contour integration, and special functions, with practical illustrations and worked examples.
The book surveys essential topics from complex numbers to holomorphic functions, integration, series, and elliptic functions. It blends rigorous foundations with accessible explanations, and it emphasizes methods useful to applied mathematicians, not just theory for its own sake.
- Clear development of core concepts such as analyticity, conformal mapping, and residues.
- Extensive worked examples and a dedicated collection of miscellaneous problems.
- Coverage of important special functions, including the Gamma and Beta functions, Legendre and Bessel equations, and elliptic functions.
- Connections between theory and applied techniques in differential equations and integral methods.
Ideal for readers of advanced undergraduates and early graduate courses in complex analysis, this edition provides a solid foundation plus practical tools for problem solving in mathematics, physics, and engineering.
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Excerpt from Functions of a Complex Variable
The remaining chapters are devoted to the applications of the subject. Chapter VII. Includes, among other matters, the theory of Analytical Continuation; various examples of the applications of that theory are given there and in Chapters VIII. And XV.
The asymptotic expansions of the Gamma Function in Chapter VIII. And of the Bessel F unctions in Chapter XV. Are worked out for complex values of the variable.
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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Functions of a Complex Variable (Classic Reprint)
Impresión bajo demandaLibrería: Forgotten Books, London, Reino Unido
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Paperback. Condición: New. Print on Demand. This book provides a comprehensive and accessible guide to the theory of functions of a complex variable. Complex numbers are introduced geometrically, and the ideas of functions, limits, continuity, and differentiation are developed logically. The book places particular emphasis on the concept of a holomorphic function, and explores the important topics of simply-connected regions, inverse functions, and harmonic functions. The author's clear and rigorous approach makes this book an ideal resource for students and researchers in mathematics and related fields. Its thorough treatment of complex analysis provides a solid foundation for further study and applications in areas such as fluid mechanics, heat transfer, and electromagnetism. 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. Nº de ref. del artículo: 9781332786589_0
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Functions of a Complex Variable Classic Reprint
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781332786589
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Functions of a Complex Variable Classic Reprint
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781332786589
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