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WILLIAM E. BOYCE, Rensselaer Polytechnic Institute
RICHARD C. DIPRIMA (deceased), Rensselaer Polytechnic Institute
Elementary: ISBN: 0-471-08953-2, 576 Pages, Cloth, 1997
Boundary: ISBN: 0-471-08955-9, 704 Pages, Cloth, 1997


This revision of Boyce & DiPrima's market leading texts maintains the flexible chapter construction, clear exposition, and outstanding problem material the books are known for, while reforming both versions with a more visual approach and increased emphasis on computer integration. The revision seeks to enhance the strengths of the preceding editions, by maximizing the advantages offered by new technologies.

The all new art program features an increase in the number of text figures and graphs required in the problems. In addition, many of the problems from previous editions have been modified to ask for a graph of the solution. There are also many new problems that assume technology. With the revision of the numerical methods chapter, Boyce and DiPrima now present the most current and comprehensive treatment of this topic found in any elementary DE text.

This revision, like its predecessors, is written from the viewpoint of the applied mathematician, focusing on both the theoretical and practical aspects of DE's. It combines a sound exposition of the theory with considerable attention to applying that theory in engineering and the sciences. The flexible organization that has made this text so popular in the past, remains, as does the tremendous variety, range and number of problems.

The book is intended for an ordinary differential equations course usually taught at the sophomore/junior level in math departments and occasionally in engineering departments. Prerequisites include calculus.


Changes in the new edition:


Table of Contents

  1. Introduction
  2. First Order Differential Equations
  3. Second Order Linear Equations
  4. Higher Order Linear Equations
  5. Series Solutions of Second Order Linear Equations
  6. The Laplace Transform
  7. Systems of First Order Linear Equations
  8. Numerical Methods
  9. Nonlinear Differential Equations and Stability
  10. **Partial Differential Equations and Fourier Series
  11. **Boundary Value Problems and Sturm-Liouville Theory
** Contained in the Boundary Values version only.