Elementary Differential Equations （5TH）

Edwards, C. H./ Penney, David E.

Pearson College Div（2003/10発売）

• 製本 Hardcover:ハードカバー版／ページ数 640 p.
• 言語 ENG
• 商品コード 9780131457737
• DDC分類 515.35

Full Description

For briefer traditional courses in elementary differential equations that science, engineering, and mathematics students take following calculus. This accessible, attractive, and interesting text teaches students to first solve those differential equations that have the most frequent and interesting applications. This motivates students and illustrates the standard elementary techniques of solution of differential equations. Precise and clear-cut statements of fundamental existence and uniqueness theorems allow understanding of their role in this subject. The first few sections of most chapters introduce the principle ideas of each topic, with remaining sections devoted to extensions and applications, giving instructors a wide range of choices regarding breadth and depth of coverage. A strong numerical approach emphasizes that the effective and reliable use of numerical methods often requires preliminary analysis using standard elementary techniques.

Contents

1. First-Order Differential Equations. 2. Linear Equations of Higher Order. 3. Power Series Methods. 4. Laplace Transform Methods. 5. Linear Systems of Differential Equations. 6. Numerical Methods. 7. Nonlinear Systems and Phenomena. References for Further Study. Appendix: Existence and Uniqueness of Solutions. Answers to Selected Problems. Index.