Theory of Differential Equations, Vol. 5 (Classic Reprint): Partial Differential Equations - Couverture souple

Forsyth, Andrew Russell

9781330331934: Theory of Differential Equations, Vol. 5 (Classic Reprint): Partial Differential Equations

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ISBN 10 : 1330331931 ISBN 13 : 9781330331934

Editeur : Forgotten Books, 2018

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These two volumes, now published asP art IV of the present work, are my final contribution towards the fulfihiient of a promise made twenty-one years ago. They are devoted to the theory of partial differential equations. Though the work thus is completed, no claim is made that every topic of importance has been discussed. In the earlier volumes, indications of omissions from other portions of the whole subject were given and need not now be repeated: here also, there have been definite omissions. Nothing, for instance, is said concerning the researches of Picard and Dini on the method of successive approximations for the construction of an integral which obeys assigned conditions ;these investigations limit the variables to real values, and throughout the treatise I have dealt with variables having complex values. Formal questions, such as those wdiich arise out of the application of the theory of groups, are hardly mentioned; here, as in the preceding volumes, I have concerned myself with organic properties, given by applications of the theory of functions, rather than with formal properties.
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�diteurForgotten Books
Date d'�dition2018
ISBN 10 1330331931
ISBN 13 9781330331934
ReliureBroch�
Langueanglais
Nombre de pages506

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Theory of Differential Equations, Vol. 5: Partial Differential Equations

Andrew Russell Forsyth

Edit� par Forgotten Books, 2018

ISBN 10 : 1330331931 ISBN 13 : 9781330331934

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Paperback. Etat : New. Print on Demand. This book is a dive into the world of partial differential equations (PDEs), differential equations that involve several variables and their partial derivatives. The text focuses on generalizing techniques for solving ordinary differential equations to PDEs. PDEs are notoriously difficult to solve and are used to describe many physical phenomena such as vibrating membranes and fluid dynamics. Because of this, their applications are widespread across a range of scientific disciplines. The author begins with the basics of PDEs, which provides an accessible entry point for those less familiar with the subject. The text includes chapters covering linear and nonlinear equations, existence theorems, variation of parameters, equations of mathematical physics, contact transformations, and more. The author employs a combination of theoretical explanations, examples, and exercises to help readers develop a thorough understanding of PDEs. Whether you're a student looking to master the fundamentals or a researcher seeking to expand your knowledge, this book offers a deep exploration of the subject. 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. N� de r�f. du vendeur 9781330331934_0

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