Title: Theory of Differential Equations, Vol. 5: Partial Differential Equations (Classic Reprint)
Publisher: Forgotten Books
Publication Date: 2019
Language: English
ISBN 10: 1330331931
ISBN 13: 9781330331934
Binding: Paperback
Condition: Brand New
Weight: 0.68 kilograms

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Synopsis

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.

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