Elementary differential equations
著者
書誌事項
Elementary differential equations
Addison-Wesley, c1997
4th ed
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注記
Includes index
内容説明・目次
内容説明
Differential equations are of fundamental importance in the applications of mathematics to the physical and biological sciences. This text provides an elementary but cohesive development of the topic. The primary goal of the book is to teach students how to use differential equations in applied areas. To this end, the book includes more than 400 worked examples and 2500 exercises, chapter summaries than include a review of the important concepts, chapter review exercises, self-quiz problems, numerous applications in various fields, a section in each chapter on solving problems using symbolic manipulators such as Mathematica, MAPLE, and DERIVE, and a manual for such solutions.
目次
1. Introduction to Differential Equations.
2. First-Order Equations.
3. Second and Higher-Order Linear Differential Equations.
4. Some Physical Applications of Linear Differential Equations.
5. Power Series Solutions of Differential Equations.
6. Laplace Transforms.
7. Introduction to Systems of Linear Differential Equations and Applications.
8. Numerical Methods.
9. Matrix Methods for Systems of Differential Equations.
10. Nonlinear Equations and Stability.
11. Fourier Series and Boundary Value Problems.
12. Partial Differential Equations.
Appendices.
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