* Focuses on the most often used features of Mathematica for the beginning Mathematica user
* New applications from a variety of fields, including engineering, biology, and physics
* All applications were completed using recent versions of Mathematica
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.
Professional and student mathematicians, engineers, and scientists.
Differential Equations with Mathematica, 3rd Edition
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
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.
Quotes and reviews
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
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"