Synopses & Reviews
This three-part graduate-level treatment begins with classical perturbation techniques, discussing the Lagrange expansion theorem, matrix exponential, invariant imbedding, and dynamic programming. The second part concentrates on equations, presenting renormalization techniques of Lindstedt and Shohat and averaging techniques by Bellman and Richardson. The concluding chapter focuses on second-order linear differential equations, illustrating applications of the WKB-Liouville method and asymptotic series. Exercises, comments, and an annotated bibliography follow each demonstration of technique. A course in intermediate calculus and a basic understanding of ordinary differential equations are prerequisites. 1966 ed. 7 figures.
Graduate students receive a stimulating introduction to analytical approximation techniques for solving differential equations in this text, which introducesand#160;a series of interesting and scientifically significant problems, indicates useful solutions, and supplies a guide to further reading. Intermediate calculus andand#160;basic grasp of ordinary differential equations are prerequisites.
Graduate students receive a stimulating introduction to analytical approximation techniques for solving differential equations in this text, which introducesand#160;scientifically significant problems and indicates useful solutions. 1966 edition.
Table of Contents
1. Classical Perturbation Techniques
2. Periodic Solutions of Nonlinear Differential Equations and Renormalization Techniques
3. The Liouville-WKB Approximation and Asymptotic Series
and#160; Subject Index. Author Index