Elements of the Theory of Functions of a Complex Variable: With Especial Reference to the Methods of Riemann (Classic Reprint) - Softcover
Synopsis
Excerpt from Elements of the Theory of Functions of a Complex Variable: With Especial Reference to the Methods of Riemann
To follow the gradual development of the theory of imagi nary quantities is especially interesting, for the reason that we can clearly perceive with what difficulties is attended the introduction of ideas, either not at all known before, or at least not sufficiently current. The times at which negative, fractional and irrational quantities were introduced into mathematics are so far removed from us, that we can form no adequate conception of the difficulties which the intro duction of those quantities may have encountered. Moreover, the knowledge of the nature of imaginary quantities has helped us to a better understanding of negative, fractional and irrational quantities, a common bond closely uniting them all.
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Elements of the Theory of Functions of a Complex Variable: With Especial Reference to the Methods of Riemann (Classic Reprint)
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Paperback. Condition: New. Print on Demand. 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. 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 # 9781330368480_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330368480