Perturbation Techniques in Mathematics, Physics, and Engineering

Bellman, Richard Ernest

HOLT. RINEHART AND WINSTON

Here is a book that describes the classical foundations of invariant imbedding: a concept that provided the first indication of the connection between transport theory and the Riccati Equation. The reprinting of this classic volume was prompted by a revival of interest in the subject area because of its uses for inverse problems. The major part of the book consists of applications of the invariant imbedding method to specific areas that are of interest to engineers, physicists, applied mathematicians, and numerical analysts. The material is accessible to a general audience, however, the authors do not hesitate to state, and even to prove, a rigorous theorem when one is available. A large set of problems can be found at the end of each chapter. Numerous problems on apparently disparate matters such as Riccati equations, continued fractions, functional equations, and Laplace transforms are included. The exercises present the reader with â€˜real-lifeâ€™ situations.

An Introduction to Invariant Imbedding (Wiley Series on Personality Processes)

Science & Math

Mathematics

John Wiley&Sons

Suitable for advanced undergraduates and graduate students, this was the first English-language text to offer detailed coverage of boundedness, stability, and asymptotic behavior of linear and nonlinear differential equations. It remains a classic guide, featuring material from original research papers, including the author's own studies. 1953 edition.

Stability theory of differential equations

Dover Publications

Inequalities (Ergebnisse der Mathematik und Ihrer Grenzgebiete. 1. Folge, N. F. Bd. 30) (German Edition)

Beckenbach, Edwin Ford

Springer

Quasilinearization and the Identification Problem (Series in Modern Applied Mathematics ; V. 2)

World Scientific Pub Co Inc

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Books by Bellman, Richard Ernest