Applied Partial Differential Equations

ISBN-10: 0387209530
ISBN-13: 9780387209531
Edition: 2nd 2004 (Revised)
Authors: J. David Logan
List price: $54.95 Buy it from $8.66
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Description:   This textbook is for the standard, one-semester, junior-senior course that often goes by the title "Elementary Partial Differential Equations" or "Boundary Value Problems". The audience consists of students in mathematics, engineering, and the  More...

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Book details

List price: $54.95
Edition: 2nd
Copyright year: 2004
Publisher: Springer
Publication date: 5/11/2004
Binding: Paperback
Pages: 212
Size: 6.00" wide x 9.00" long x 0.50" tall
Weight: 0.682
Language: English

  This textbook is for the standard, one-semester, junior-senior course that often goes by the title "Elementary Partial Differential Equations" or "Boundary Value Problems". The audience consists of students in mathematics, engineering, and the physical sciences. The topics include derivations of some of the standard models of mathematical physics (e.g., the heat equation, the wave equation, and Laplaces equation) and methods for solving those equations on unbounded and bounded domains (transform methods and eigenfunction expansions). Prerequisites include multivariable calculus and elementary differential equations. The text differs from other texts in that it is a brief treatment; yet it provides coverage of the main topics usually studied in the standard course as well as an introduction to using computer algebra packages to solve and understand partial differential equations. The many exercises help students sharpen their computational skills by encouraging them to think about concepts and derivations. The student who reads this book carefully and solves most of the problems will have a sound knowledge base for a second-year partial differential equations course where careful proofs are constructed or for upper division courses in science and engineering where detailed applications of partial differential equations are introduced. To give this text an even wider appeal, the second edition has been updated with a new chapter on partial differential equation models in biology, and with various examples from the life sciences that have been added throughout the text. There are more exercises, as well as solutions and hints to some of the problems at the end of the book.

The Physical Origins of Partial Differential Equations
Partial Differential Equations on Unbounded Domains
Orthogonal Expansions
Partial Differential Equations on Bounded Domains
PDE Models in Biology
Appendix: Ordinary Differential Equations
Table of Laplace Transforms
References
Index

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