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Elementary Differential Equations, 5/E
ISBN-10: 013145773X
ISBN-13: 9780131457737
Publisher: Pearson
Copyright: 2004
Format: Cloth; 640 pp
Published: 10/30/2003
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.
This product accompanies:
Edwards & Penney,
Elementary Differential Equations, 6/E
Provides students with ample opportunites to practice what they have learned in class and in the text.
Shows students vivid pictures of direction fields, solution curves, and phase plane portraits that bring symbolic solutions of differential equations to life.
Adds for students concrete applied emphasis and engages them in more extensive investigations than in typical exercises and problems.
Encourages students to further delve into the exploration and application of computational technology.
Motivates students and illustrates to them the standard elementary techniques of solution of differential equations.
Gives instructors strong course support.
Allows students to self-test and check their own progress.
Provides students with ample opportunites to practice what they have learned in class and in the text.
Shows students vivid pictures of direction fields, solution curves, and phase plane portraits that bring symbolic solutions of differential equations to life.
Adds for students concrete applied emphasis and engages them in more extensive investigations than in typical exercises and problems.
Encourages students to further delve into the exploration and application of computational technology.
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.

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