Partial Differential Equations: An Introduction / Edition 2

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More About This Textbook

Overview

Our understanding of the fundamental processes of the natural worldis based to a large extent on partial differential equations(PDEs). The second edition of Partial Differential Equationsprovides an introduction to the basic properties of PDEs and theideas and techniques that have proven useful in analyzing them. Itprovides the student a broad perspective on the subject,illustrates the incredibly rich variety of phenomena encompassed byit, and imparts a working knowledge of the most importanttechniques of analysis of the solutions of the equations.

In this book mathematical jargon is minimized. Our focus is on thethree most classical PDEs, the wave, heat and Lapace equations.Advanced concepts are introduced frequently but with the leastpossible technicalities. The book is flexibly designed for juniors,seniors or beginning graduate students in science, engineering ormathematics.

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Editorial Reviews

Booknews
An advanced-undergraduate textbook for science, engineering, or mathematics majors, providing an introduction to the basic properties of partial differential equations and to the techniques that have proved useful in analyzing them. The prerequisites are a solid knowledge of calculus, especially multivariate, and small amounts of ordinary differential equations and of linear algebra. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780470260715
  • Publisher: Wiley
  • Publication date: 2/25/2008
  • Edition description: Student
  • Edition number: 2
  • Pages: 228
  • Product dimensions: 8.40 (w) x 10.80 (h) x 0.60 (d)

Table of Contents

Where PDEs Come From.
Waves and Diffusions.
Reflections and Sources.
Boundary Problems.
Fourier Series.
Harmonic Functions.
Green's Identities and Green's Functions.
Computation of Solutions.
Waves in Space.
Boundaries in the Plane and in Space.
General Eigenvalue Problems.
Distributions and Transforms.
PDE Problems from Physics.
Nonlinear PDEs.
Appendix.
References.
Answers and Hints to Selected Exercises.
Index.
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