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

Jones, Professor W. Lewis

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

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ISBN 10: 1440041938 ISBN 13: 9781440041938

Verlag: Forgotten Books, 2012

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Excerpt from Functions of a Complex Variable: Being Part I of Volume II

After the cordial reception given to the translation of Goursat's first volume, the continuation was assured. That it has been delayed so long was due, in the first instance, to our desire to await the appearance of the second edition of the second volume in French. The advantage in doing so will be obvious to those who have observed the radical changes made in the second (french) edition of the second volume. Volume I was not altered so radi cally, so that the present English translation of that volume may be used conveniently as a companion to this; but references are given here to both editions of the first volume, to avoid any possible difficulty in this connection.

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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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The first part of this volume has undergone only slight changes, while the rather important modifications that have been made appear only in the last chapters. In the first edition I was able to devote but a few pages to partial differential equations of the second order and to the calculus of variations. In order to present in a less summary manner such broad subjects, I have concluded to defer them to a third volume, which will contain also a sketch of the recent theory of integral equations. The suppression of the last chapter has enabled me to make some additions, of which the most important relate to linear differential equations and to partial differential equations of the E.
(Typographical errors above are due to OCR software and don't occur in the book.)

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VerlagForgotten Books
Erscheinungsdatum2012
ISBN 10 1440041938
ISBN 13 9781440041938
EinbandTapa blanda
SpracheEnglisch
Anzahl der Seiten276

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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
Verlag: Forgotten Books, 2018
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Functions of a Complex Variable: Being Part I of Volume II (Classic Reprint)

�douard Goursat

Verlag: Forgotten Books, 2018

ISBN 10: 1440041938 ISBN 13: 9781440041938

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Paperback. Zustand: 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. Bestandsnummer des Verk�ufers 9781440041938_0

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