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Similarities, differences, advantages and limitations of perturbation techniques are pointed out concisely. The techniques are described by means of examples that consist mainly of algebraic and ordinary differential equations. Each chapter contains a number of exercises.
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* Explains the physical meaning of linear and nonlinear structural mechanics.* Shows how to perform nonlinear structural analysis.* Points out important nonlinear structural dynamics behaviors.* Provides ready-to-use governing equations.
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The Wiley Classics Library consists of selected books that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists.Currently available in the Series: T. W. AndersonThe Statistical Analysis of Time SeriesT. S. Arthanari & Yadolah DodgeMathematical Programming in StatisticsEmil ArtinGeometric AlgebraNorman T. J. BaileyThe Elements of Stochastic Processeswith Applications to the Natural SciencesRobert G. BartleThe Elements of Integration andLebesgue MeasureGeorge E. P. Box & Norman R. DraperEvolutionary Operation: A Statistical Method for Process ImprovementGeorge E. P. Box & George C. TiaoBayesian Inference in Statistical AnalysisR. W. CarterFinite Groups of Lie Type: Conjugacy Classesand Complex CharactersR. W. CarterSimple Groups of Lie TypeWilliam G. Cochran & Gertrude M. CoxExperimental Designs, Second EditionRichard CourantDifferential and Integral Calculus, Volume IRIchard CourantDifferential and Integral Calculus, Volume IIRichard Courant & D. HilbertMethods of Mathematical Physics, Volume IRichard Courant & D. HilbertMethods of Mathematical Physics, Volume II D. R. CoxPlanning of ExperimentsHarold S. M. CoxeterIntroduction to Geometry, Second EditionCharles W. Curtis & Irving ReinerRepresentation Theory of Finite Groups andAssociative AlgebrasCharles W. Curtis & Irving ReinerMethods of Representation Theorywith Applications to Finite Groupsand Orders, Volume ICharles W. Curtis & Irving ReinerMethods of Representation Theorywith Applications to Finite Groupsand Orders, Volume IICuthbert DanielFitting Equations to Data: Computer Analysis ofMultifactor Data, Second EditionBruno de FinettiTheory of Probability, Volume IBruno de FinettiTheory of Probability, Volume 2W. Edwards DemingSample Design in Business Research
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Nonlinear Oscillations is a self-contained and thorough treatment of the vigorous research that has occurred in nonlinear mechanics since 1970. The book begins with fundamental concepts and techniques of analysis and progresses through recent developments and provides an overview that abstracts and introduces main nonlinear phenomena. It treats systems having a single degree of freedom, introducing basic concepts and analytical methods, and extends concepts and methods to systems having degrees of freedom. Most of this material cannot be found in any other text. Nonlinear Oscillations uses simple physical examples to explain nonlinear dispersive and nondispersive waves. The notation is unified and the analysis modified to conform to discussions. Solutions are worked out in detail for numerous examples, results are plotted and explanations are couched in physical terms. The book contains an extensive bibliography.