The Sixth Edition of this widely adopted book remains the same classic differential equations text it’s always been, but has been polished and sharpened to serve both instructors and students even more effectively.Edwards and Penney teach students to first solve those differential equations that have the most frequent and interesting applications. Precise and clear-cut statements of fundamental existence and uniqueness theorems allow understanding of their role in this subject. A strong numerical approach emphasizes that the effective and reliable use of numerical methods often requires preliminary analysis using standard elementary techniques.
本書特色
1 . A solid numerical emphasis ?Includes generic numerical algorithms and a limited number of illustrative graphic calculator, BASIC, and MATLAB routines.
2 . Wide range of choices regarding breadth and depth of coverage ?The first few sections of most chapters introduce the principal ideas of each topic, with remaining sections devoted to extensions and applications.
3 . Computer-generated figures. Includes graphics using Mathematica or MATLAB; shows students vivid pictures of direction fields, solution curves, and phase plane portraits that bring symbolic solutions of differential equations to life.
4 . Application Modules ?Follow appropriate sections in the book; give students concrete applied emphasis and engages them in more extensive investigations than in typical exercises and problems.
5 . Instructor’’s Solutions Manual ?Provides worked-out solutions for most of the problems in the book.
6 . Student Solutions Manual ?Contains solutions for most of the odd-numbered problems.
7 . Proven chapter and section structure of the book is unchanged ?Instructors’’ notes and syllabi will not require revision to continue teaching with the Sixth Edition.
目 錄
CHAPTER1 First-Order Differential Equations 1
CHAPTER2 Linear Equations of Higher Order 100
CHAPTER3 Power Series Methods 194
CHAPTER4 Laplace Transform Methods 266
CHAPTER5 Linear Systems of Differential Equations 326
CHAPTER6 Numerical Methods 430
CHAPTER7 Nonlinear Systems and Phenomena 480
References for Further Study 555
Appendix: Existence and Uniqueness of Solutions 559
