Differential Equations with Mathematica
- 3rd Edition - February 23, 2004
- Authors: Martha L. Abell, James P. Braselton
- Language: English
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… Read more
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.
* 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
* New applications from a variety of fields, including engineering, biology, and physics
* All applications were completed using recent versions of Mathematica
Professional and student mathematicians, engineers, and scientists.
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.
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.
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
"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
- Edition: 3
- Published: February 23, 2004
- Language: English
MA
Martha L. Abell
Martha L. Abell and James P. Braselton are graduates of the Georgia Institute of Technology and the Ohio State University, respectively, and teach at Georgia Southern University, Statesboro where they have extensive experience instructing students at both the undergraduate and graduate levels. Other books by the authors include Differential Equations with Mathematica and Mathematica by Example.
Affiliations and expertise
Professor EmeritaJB
James P. Braselton
Martha L. Abell and James P. Braselton are graduates of the Georgia Institute of Technology and the Ohio State University, respectively, and teach at Georgia Southern University, Statesboro where they have extensive experience instructing students at both the undergraduate and graduate levels. Other books by the authors include Differential Equations with Mathematica and Mathematica by Example.
Affiliations and expertise
Associate Professor Emeritus