Differential equations with Mathematica
著者
書誌事項
Differential equations with Mathematica
Elsevier, c2004
3rd ed
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注記
Bibliography: p. 865-866
Includes index
内容説明・目次
内容説明
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.
目次
- 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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