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NON-TECHNICAL DESCRIPTION Mathematica is an extremely powerful computer algebra system (with both symbolic and numerical capabilities), a graphing tool for any mathematical function in two or three dimensions, a self-contained programming language, and also a typesetting program. Using both symbolic and numerical capabilities, Mathematica is a two or three-dimensional graphing tool for any mathematical function, a self-contained programming language, and also a typesetting program. Intended for Mathematica beginners, this book/CD-ROM package contains built-in commands that can be used to solve problems directly and can also be used to visualise solutions. This Second Edition of the groundbreaking Differential Equations with Mathematica integrates new applications from a variety of fields, especially biology, physics, and engineering. The new handbook is also completely compatible with Mathematica version 3.0 and is a perfect introduction for Mathematica beginners. The book/CD-ROM package contains built-in commands that lets the user solve problems directly using graphical solutions. Features: * Focuses on the most often used features of Mathematica for the beginning Mathematica use

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• Ch. 1 Introduction to Differential Equations: Definitions and Concepts
• Ch. 2 First-Order Ordinary Differential Equations: Theory of First-Order Equations
• Ch. 3 Applications of First-Order Ordinary Differential Equations: Orthogonal Trajectories
• Ch. 4 Higher-Order Differential Equations: Preliminary Definitions and Notation
• Ch. 5 Applications of Higher-Order Differential Equations: Simple Harmonic Motion
• Ch. 6 Ordinary Differential Equations with Nonconstant Coefficients: Cauchy-Euler Equations
• Ch. 7 Laplace Transform Methods: The Laplace Transform
• Ch. 8 Systems of Ordinary Differential Equations: Review of Matrix Algebra and Calculus
• Ch. 9 Applications of Systems of Ordinary Differential Equations Mechanical and Electrical Problems with First-Order Linear Systems
• Ch.10 Eigenvalue Problems and Fourier Series: Boundary Value Problems, Sturm-Liouville Problems, Fourier Sine Series and Cosine Series
• Ch. 11 Partial Differential Equations: Introduction to Partial Differential Equations and
• Separation of Variables
• Appendix: Getting Started

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CHOICE Review

Covers all the standard topics in a sophomore/junior-level algorithm-oriented differential equations course, but with a strong emphasis on the use of built-in Mathematica commands to describe illustrative examples. Some extensive applications (primarily to physics) are included. For the reader already acquainted with exact methods in differential equations (especially ordinary differential equations), Abell and Braselton do a good job of reworking the material in the context of Mathematica. Thus, this book could be especially useful to the differential equations instructor looking for good classroom demonstrations or computer laboratory problems. For the beginning differential equations student, however, this book serves better, as the authors remark, as a supplement to a more traditional book on the subject. An unfortunate note: the typography is somewhat hard on the eyes and the graphics consist of direct "screen captures" having rather low resolution. Good glossary of Mathematica functions, adequate bibliography and index. Undergraduate; faculty. S. J. Colley; Oberlin College