Inhaltsangabe
Mastering the Basics of Complex Functions This concise introduction explains the core ideas of functions of a complex variable. It covers how such functions are defined, represented, and analyzed, with practical definitions and clear examples.
In accessible chapters, you’ll see how complex numbers are used to model functions, how convergence of series works, and how these ideas apply to a broad range of problems in mathematics. The book also highlights key theorems, methods, and tools that underlie more advanced texts and courses.
- Foundations: what a function is, independent variables, and one- or multi-valued behavior
- Representation: how complex variables are written and graphed, including polar form
- Series and convergence: absolute convergence, power series, and uniform convergence
- Core theorems and techniques: Cauchy’s theorem, residues, and standard series (Taylor, Laurent, Fourier)
Ideal for students beginning the study of complex analysis and readers seeking a solid introduction to a central area of modern mathematics. This edition ties basic concepts to larger works and classic treatments in the field.
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Functions of a Complex Variable (Classic Reprint)
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Paperback. Zustand: New. 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. print-on-demand item. Bestandsnummer des Verkäufers 9781440070341_0
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Mathematical of a Complex Variable Robert and Woodward Classic Reprint
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781440070341
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Functions of a Complex Variable (Classic Reprint)
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Paperback. Zustand: Brand New. 110 pages. 9.00x6.00x0.25 inches. This item is printed on demand. Bestandsnummer des Verkäufers zk1440070342
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