𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Perturbation techniques in mathematics, physics, and engineering

✍ Scribed by Richard Bellman

Book ID
127398061
Publisher
Dover Publications
Year
2003
Tongue
English
Weight
754 KB
Series
Dover Books on Physics
Category
Library
ISBN-13
9780486432588

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Subjects

Дифференциальные уравнения

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