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Bibliographic Details

Title: Elements of the Theory of Functions of a Complex Variable: With Especial Reference to the Methods of Riemann (Classic Reprint)
Publisher: Forgotten Books -
Publication Date: 2018
Language: English
ISBN 10: 1330368487
ISBN 13: 9781330368480
Binding: paperback
Condition: Very Good

About this title

Synopsis

This book delves into the fascinating realm of complex variables, exploring their geometric representation and the functions they create. It embarks on a historical journey, tracing the evolution of complex numbers from their initial perception as "impossible" entities to their crucial role in modern mathematics. The author meticulously examines the fundamental operations of addition, subtraction, multiplication, and division, demonstrating their geometric interpretations and how they apply to complex quantities. Venturing beyond the basics, this book delves into the concept of complex functions, emphasizing the intricate relationship between variables and their corresponding function values. It explores the intriguing properties of multivalued functions and the concept of Riemann surfaces, providing a visual and intuitive understanding of these complex mathematical constructs. Through detailed explanations and illustrative examples, the author elucidates key concepts such as integrals, infinite and infinitesimal values, and the classification of surfaces. The book delves into the profound implications of these concepts, revealing their significance in understanding the behavior of complex functions. Ultimately, this book illuminates the power and elegance of complex analysis, showcasing its ability to unravel the mysteries of mathematical relationships and provide a deeper understanding of the world around us.

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