Elementary differential equations
著者
書誌事項
Elementary differential equations
Wiley, c1997
6th ed
- cloth : alk. paper
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注記
Includes index
内容説明・目次
内容説明
This revised edition includes problems and examples that incorporate computer technology. Many of the problems also call for graphing solutions or statements about their behaviour. In doing this, the text clearly demonstrates why solutions are no more important than the conclusions that can be drawn from them. The book includes features such as: a sound and accurate exposition of theory with attention to methods of solution, analysis, and approximation that can be used in many applications; problems on properties of solutions which emphasize the importance of understanding the qualitative behaviour of solutions; use of technology, illustrations, and problem sets to help students develop an understanding of the material; historic footnotes that trace development of the discipline and identify some outstanding individual contributions; and the answers to most of the problems in the book.
This edition contains additional features such as: more figures within the text plus problems chosen to promote a more visual understanding of differential equations; problems that explore the effect of changing parameter values; an update of the numerical methods chapter and new figures and problems.
目次
- First Order Differential Equations
- Second Order Linear Equations
- Higher Order Linear Equations
- Series Solutions of Second Order Linear Equations
- The Laplace Transform
- Systems of First Order Linear Equations
- Numerical Methods
- Nonlinear Differential Equations and Stability
- Answers to Problems
- Index.
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