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Partial Differential Equations
     

Partial Differential Equations

by Jeffrey Rauch
 

The objective of this book is to present an introduction to the ideas, phenomena, and methods of partial differential equations. This material can be presented in one semester and requires no previous knowledge of differential equations, but assumes the reader to be familiar with advanced calculus, real analysis, the rudiments of complex analysis, and thelanguage

Overview

The objective of this book is to present an introduction to the ideas, phenomena, and methods of partial differential equations. This material can be presented in one semester and requires no previous knowledge of differential equations, but assumes the reader to be familiar with advanced calculus, real analysis, the rudiments of complex analysis, and thelanguage of functional analysis. Topics discussed in the text include elliptic, hyperbolic, and parabolic equations, the energy method, maximum principle, and the Fourier Transform. The text features many historical and scientific motivations and applications. Included throughout are exercises, hints, and discussions which form an important and integral part of the course.

Editorial Reviews

From the Publisher

"...this is an outstanding text presenting a healthy challenge not only to students but also to teachers used to more traditional or more pedestrian developments of the subject.—MATHEMATICAL REVIEWS

Product Details

ISBN-13:
9781461269595
Publisher:
Springer New York
Publication date:
04/30/2013
Series:
Graduate Texts in Mathematics Series , #128
Edition description:
Softcover reprint of the original 1st ed. 1991
Pages:
266
Product dimensions:
6.14(w) x 9.21(h) x 0.59(d)

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