Description: Truly Nonlinear Oscillations : Harmonic Balance, Parameter Expansions, Iteration, and Averaging Methods, Hardcover by Mickens, Ronald E., ISBN 981429165X, ISBN-13 9789814291651, Brand New, Free shipping in the US Mickens (Clark Atlanta University) explains strategies for calculating approximations to periodic solutions of truly nonlinear (TNL) oscillator differential equations. The basic style and presentation of th is heuristic rather than rigorous, and the calculation basis of each method is clarified by applying it to a set of standard TNL oscillator equations. This allows a direct comparison to be made among the various methods. After background and general comments, chapters cover establishing periodicity, harmonic balance, parameter expansions, iteration methods, and averaging methods. The final chapter compares results from six TNL oscillator equations. Nine appendices (about 40 pages) give background on mathematical relations, gamma and beta functions, Fourier series, basic theorems of the theory of second-order and linear second-order differential equations, perturbation methods, and discrete models of two TNL oscillations. Th is suitable for classroom use or self-study. Annotation ©2010 Book News, Inc., Portland, OR ()
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Book Title: Truly Nonlinear Oscillations : Harmonic Balance, Parameter Expans
Number of Pages: 260 Pages
Language: English
Publication Name: Truly Nonlinear Oscillations : Harmonic Balance, Parameter Expansions, Iteration, and Averaging Methods
Publisher: World Industries Scientific Publishing Co Pte LTD
Publication Year: 2010
Subject: Differential Equations / General, Functional Analysis, Mechanical, Mathematical Analysis, Discrete Mathematics
Type: Textbook
Item Weight: 0 Oz
Subject Area: Mathematics, Technology & Engineering
Author: Ronald E. Mickens
Format: Hardcover
