A Course in Mathematical Analysis Functions of a Complex Variable, Being of, Vol. 1 (Classic Reprint) - Softcover

�douard Goursat

9781440041938: A Course in Mathematical Analysis Functions of a Complex Variable, Being of, Vol. 1 (Classic Reprint)

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ISBN 10: 1440041938 ISBN 13: 9781440041938

Publisher: Forgotten Books, 2018

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Master the foundations of complex analysis with this classic text. This comprehensive volume covers analytic functions, conformal mappings, and the general theory of functions of a complex variable, equipping readers with rigorous methods and clear explanations.

This edition presents the material in a way that fits introductory college courses, while preserving the depth that makes it a lasting reference. It guides you from basic definitions to powerful theorems, with careful development of key techniques used in complex analysis and its applications to geometry and beyond.

Foundational definitions and properties of analytic and continuous complex functions

Development of power series, Laurent series, and residue theory

Conformal mappings and the geometric interpretation of complex functions

Applications to integration, special functions, and the theory of equations

Ideal for readers of mathematical analysis, this book serves as a solid introduction and a reliable reference for further study in complex variables and related fields.

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Publisher: Forgotten Books
Publication date: 2018
Language: English
ISBN 10: 1440041938
ISBN 13: 9781440041938
Binding: Paperback
Number of pages: 273

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9781528548595: Functions of a Complex Variable: Being Part I of Volume II (Classic Reprint)

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ISBN 10: 1528548590 ISBN 13: 9781528548595
Publisher: Forgotten Books, 2017
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Functions of a Complex Variable: Being Part I of Volume II (Classic Reprint)

�douard Goursat

Published by Forgotten Books, 2012

ISBN 10: 1440041938 ISBN 13: 9781440041938

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Paperback. Condition: New. Print on Demand. This book delves into the fascinating world of functions of a complex variable, a concept that expanded the scope of algebra and analysis in the early 20th century. The author lays out the foundational principles of this field, building a bridge between the familiar world of real numbers and the more abstract realm of complex numbers. The book explores the concept of analytic functions, which behave in a predictably smooth manner, and contrasts them with multiple-valued functions that exhibit more complex behavior. Key concepts like the circle of convergence, a visual representation of the range of values for which a power series remains valid, are explored in detail. The author then delves into elementary transcendental functions, like the exponential and trigonometric functions, demonstrating how they can be extended to encompass complex variables. The book's exploration of these functions, and the discovery of their periodic nature, highlights the elegance and unexpected behavior that can arise when dealing with complex numbers. This book provides a solid foundation for understanding the intricacies of complex functions, a subject with far-reaching applications in diverse fields, from physics and engineering to pure mathematics. 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 # 9781440041938_0

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