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

Forsyth, Andrew Russell

Softcover

ISBN 10: 1330331931 ISBN 13: 9781330331934

Verlag: Forgotten Books, 2018

Inhaltsangabe

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.

Über diesen Titel

Reseña del editor

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

One chapter is devoted to the generalisation of integrals which involve some arbitrary parameters, and another to the discussion of characteristics of equations of the second order. The investigations in both of these chapters are clearly incomplete: they could be continued along lines that lead to the complete classification of integrals of equations of the first order.

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.

Reseña del editor

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

These two volumes, now published as Part IV of the present work, are my final contribution towards the fulfilment 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 which 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.

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.

Details zur Ausgabe

• Verlag: Forgotten Books
• Erscheinungsdatum: 2018
• ISBN 10: 1330331931
• ISBN 13: 9781330331934
• Einband: Tapa blanda
• Sprache: Englisch
• Anzahl der Seiten: 506
• Kontakt zum Hersteller: Nicht verfügbar