Differential Equations with Mathematica
By- Martha Abell, Georgia Southern University, Statesboro, USA
- James Braselton, Georgia Southern University, Statesboro, USA
The Third Edition of the 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 recent versions of Mathematica 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.
Audience
Professional and student mathematicians, engineers, and scientists.
Hardbound, 876 Pages
Published: February 2004
Imprint: Academic Press
ISBN: 978-0-12-041562-5
Reviews
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Stephen McDowall of Western Washington University says: " The topics covered are extensive. The order and organization are good, especially in terms of increasing sophistication of the mathematics involved and in the complexity of the Mathematica programming necessary" March 2003 Mark Lusk of The Colorado School of Mines says: " I am considering the adoption of this book for my graduate class in Simulation and Modeling. I make very heavy use of Mathematica and have a weekly computer lab. I am tempted to make this the sole, required text for that course" March 2003
Contents
- Ch. 1 Introduction to DifferentialEquations: 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 LaplaceTransform;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-LiouvilleProblems, Fourier Sine Series and Cosine Series;Ch. 11 Partial Differential Equations: Introduction to Partial Differential Equations andSeparation of Variables; Appendix: Getting Started.
