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Elements of the Theory of Functions of a Complex Variable: With Especial Reference to the Methods of Riemann (Classic Reprint) - Tapa blanda
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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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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Excerpt from Elements of the Theory of Functions of a Complex Variable: With Especial Reference to the Methods of Riemann
Numerous additions have been made to Section IX., which treats of multiply connected surfaces. If Riemann's fundamental proposition on these surfaces be enunciated in such a form that merely simply connected pieces are formed by both modes of resolution, - as is ordinarily, and was also in § 49, the case, - then it must be supplemented for further applications. Such supplementary matter was given in § 52 in the classification of surfaces, and in § 53, V. But if we express the fundamental proposition in the form in which Riemann originally established it, in which merely simply connected pieces are formed by only one mode of resolution, while the pieces resulting from the other mode of resolution may or may not be simply connected, then all difficulties are obviated, and the conclusions follow immediately without requiring further expedients.
This was shown in a supplementary note at the end of the book.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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- EditorialForgotten Books
- Año de publicación2018
- ISBN 10 1330368487
- ISBN 13 9781330368480
- EncuadernaciónTapa blanda
- IdiomaInglés
- Número de páginas310
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Elements of the Theory of Functions of a Complex Variable (Classic Reprint)
Impresión bajo demandaLibrería: Forgotten Books, London, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: 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. Nº de ref. del artículo: 9781330368480_0
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Elements of the Theory of Functions of a Complex Variable: With Especial Reference to the Methods of Riemann (Classic Reprint)
Publicado por
Forgotten Books, 2018
ISBN 10: 1330368487
ISBN 13: 9781330368480
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Paperback
Librería: ThriftBooks-Atlanta, AUSTELL, GA, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Paperback. Condición: Very Good. No Jacket. May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less 0.92. Nº de ref. del artículo: G1330368487I4N00
Cantidad disponible: 1 disponibles
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Elements of the Theory of Functions of a Complex Variable
Librería: PBShop.store US, Wood Dale, IL, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330368480
Cantidad disponible: 15 disponibles
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Elements of the Theory of Functions of a Complex Variable With Especial Reference to the Methods of Riemann Classic Reprint
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
Calificación del vendedor: 4 de 5 estrellas
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330368480
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