ABSTRACT

Early training in the elementary techniques of partial differential equations is invaluable to students in engineering and the sciences as well as mathematics. However, to be effective, an undergraduate introduction must be carefully designed to be challenging, yet still reasonable in its demands. Judging from the first edition's popularity, instructors and students agree that despite the subject's complexity, it can be made fairly easy to understand.

Revised and updated to reflect the latest version of Mathematica, Partial Differential Equations and Boundary Value Problems with Mathematica, Second Edition meets the needs of mathematics, science, and engineering students even better. While retaining systematic coverage of theory and applications, the authors have made extensive changes that improve the text's accessibility, thoroughness, and practicality.

New in this edition:

  • Upgraded and expanded Mathematica sections that include more exercises
  • An entire chapter on boundary value problems
  • More on inverse operators, Legendre functions, and Bessel functions
  • Simplified treatment of Green's functions that make it more accessible to undergraduates
  • A section on the numerical computation of Green's functions
  • Mathemcatica codes for solving most of the problems discussed
  • Boundary value problems from continuum mechanics, particularly on boundary layers and fluctuating flows
  • Wave propagation and dispersion

    With its emphasis firmly on solution methods, this book is ideal for any mathematics curricula. It succeeds not only in preparing readers to meet the challenge of PDEs, but also in imparting the inherent beauty and applicability of the subject.
  • chapter 0|8 pages

    Introduction to Mathematica

    chapter 1|18 pages

    Introduction

    chapter 4|38 pages

    Orthogonal Expansions

    chapter 5|38 pages

    Separation of Variables

    chapter 6|48 pages

    Integral Transforms

    chapter 7|48 pages

    Green’s Functions

    chapter 8|49 pages

    Initial and Boundary Value Problems

    chapter 9|34 pages

    Weighted Residual Methods

    chapter 10|20 pages

    Perturbation Methods

    chapter 11|25 pages

    Finite Difference Methods