Elements of the Theory of Functions of a Complex Variable: With Especial Reference to the Methods of Riemann (Classic Reprint)

DurĂ ge, H. H. DurĂ ge,

ISBN 10: 1330368487 / ISBN 13: 9781330368480

Published by Forgotten Books, 2018

About this Item

Elements of the Theory of Functions of a Complex Variable: With Especial Reference to the Methods of Riemann (Classic Reprint) This book is in very good condition and will be shipped within 24 hours of ordering. The cover may have some limited signs of wear but the pages are clean, intact and the spine remains undamaged. This book has clearly been well maintained and looked after thus far. Money back guarantee if you are not satisfied. See all our books here, order more than 1 book and get discounted shipping. .

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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.