Solution Techniques for Elementary Partial Differential Equations, Third Edition remains a top choice for a standard, undergraduate-level course on partial differential equations (PDEs). Making the text even more user-friendly, this third edition covers important and widely used methods for solving PDEs.

New to the Third Edition

  • New sections on the series expansion of more general functions, other problems of general second-order linear equations, vibrating string with other types of boundary conditions, and equilibrium temperature in an infinite strip
  • Reorganized sections that make it easier for students and professors to navigate the contents
  • Rearranged exercises that are now at the end of each section/subsection instead of at the end of the chapter
  • New and improved exercises and worked examples
  • A brief Mathematica® program for nearly all of the worked examples, showing students how to verify results by computer

This bestselling, highly praised textbook uses a streamlined, direct approach to develop students’ competence in solving PDEs. It offers concise, easily understood explanations and worked examples that allow students to see the techniques in action.

chapter 2|18 pages

Fourier Series

chapter 3|38 pages

Sturm–Liouville Problems

chapter 5|60 pages

The Method of Separation of Variables

chapter 6|13 pages

Linear Nonhomogeneous Problems

chapter 7|30 pages

The Method of Eigenfunction Expansion

chapter 8|33 pages

The Fourier Transformations

chapter 9|19 pages

The Laplace Transformation

chapter 10|24 pages

The Method of Green’s Functions

chapter 11|18 pages

General Second-Order Linear Equations

chapter 12|24 pages

The Method of Characteristics

chapter 13|21 pages

Perturbation and Asymptotic Methods

chapter 14|12 pages

Complex Variable Methods