A first course in differential equations
著者
書誌事項
A first course in differential equations
（Undergraduate texts in mathematics）
Springer, c2015
3rd ed
- : pbk
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注記
Includes bibliographical references (p. [365]-366) and index
Previous ed: 2011
"Soft cover reprint of the hardcover 3rd edition 2015"
内容説明・目次
内容説明
The third edition of this concise, popular textbook on elementary differential equations gives instructors an alternative to the many voluminous texts on the market. It presents a thorough treatment of the standard topics in an accessible, easy-to-read, format. The overarching perspective of the text conveys that differential equations are about applications. This book illuminates the mathematical theory in the text with a wide variety of applications that will appeal to students in physics, engineering, the biosciences, economics and mathematics. Instructors are likely to find that the first four or five chapters are suitable for a first course in the subject.
This edition contains a healthy increase over earlier editions in the number of worked examples and exercises, particularly those routine in nature. Two appendices include a review with practice problems, and a MATLAB (R) supplement that gives basic codes and commands for solving differential equations. MATLAB (R) is not required; students are encouraged to utilize available software to plot many of their solutions. Solutions to even-numbered problems are available on springer.com.
目次
Preface to the Third Edition.-1. First-Order Differential Equations.- 2. Second-Order Linear Equations.- 3. Laplace Transforms.- 4. Linear Systems.- 5. Nonlinear Systems.- 6. Computation of Solutions.- Appendix A. Review and Supplementary Exercises.-Appendix B. Matlab(R) Supplement.- References.- Index.
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