Functions of a Complex Variable (Classic Reprint) - Couverture souple

Macrobert, Thomas M.

 
9781332786589: Functions of a Complex Variable (Classic Reprint)

Synopsis

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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Présentation de l'éditeur

This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.

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