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Excerpt from Functions of a Complex Variable
As these students often do not intend to specialize in mathe maties, many topics which might properly find a place in a first course in the function theory have not been treated; for example, Riemann's surfaces. On the other hand the author, having in mind the needs of students of applied mathematics, has dwelt at some length on the theory of linear differential equations, especially as regards the functions of Legendre, Laplace, Bessel, and Lame. As a Splendid application of the principles of the function theory and also on account of their intrinsic value, three chapters have been devoted to the elliptic functions.
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Functions of a Complex Variable, Vol. 3 (Classic Reprint)
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Paperback. Condizione: New. Print on Demand. This book provides an introduction to the theory of functions of a complex variable, a branch of mathematics developed in the 19th century that has revolutionized many areas of science, especially physics. Dealing with complex numbers, which are numbers that have both a real and imaginary part, the book provides a detailed overview of operations like addition, subtraction, multiplication, and division of complex numbers. It also delves into topics such as sequences and series, limits, continuity, derivatives, integration, and power series, alongside their geometric and analytical interpretations. By combining mathematical rigor, historical context, and practical applications, this book is ideal for students seeking to master the theory of complex variables and its applications in fields like engineering, physics, and computer science. 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. Codice articolo 9781334562952_0
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Functions of a Complex Variable, Vol. 3 (Classic Reprint)
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