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Solving Linear Partial Differential Equations: Spectra

8769.000

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AuthorSchechter Martin
ISBN9789811216305
Published LanguageEnglish
Publication Year2020
PublisherWorld Scientific
BindingHardback
Original Price$148
Pages408
Ships By2-3 days
SKU: WS-91 Categories: ,

Description

This booklet provides a very lucid and versatile introduction to the methods of linear partial differential equations. It covers a wealth of very important material in a concise, nevertheless very instructive manner, and as such it may serve as an excellent guide to further, more advanced and detailed reading in this area of both classical and contemporary mathematics.

zbMATH

Partial differential equations arise in many branches of science and they vary in many ways. No one method can be used to solve all of them, and only a small percentage have been solved. This book examines the general linear partial differential equation of arbitrary order m. Even this involves more methods than are known. We ask a simple question: when can an equation be solved and how many solutions does it have?

The answer is surprising even for equations with constant coefficients. We begin with these equations, first finding conditions which allow one to solve and obtain a finite number of solutions. It is then shown how to obtain those solutions by analyzing the structure of the equation very carefully. A substantial part of the book is devoted to this. Then we tackle the more difficult problem of considering equations with variable coefficients. A large number of such equations are solved by comparing them to equations with constant coefficients.

In numerous applications in the sciences, students and researchers are required to solve such equations in order to get the answers that they need. In many cases, the basic scientific theory requires the resulting partial differential equation to have a solution, and one is required to know how many solutions exist. This book deals with such situations.

About the author
Univ of California, Irvine, USA

Additional information

Weight0.732 kg
Dimensions22.9 × 15.2 cm
Author

ISBN

Publisher

Pages

408

Ships By

2-3 days