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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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The Method of Normal Forms 2e (Hardcover, 2nd, Updated And Enlarged Edition)
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The Method of Normal Forms 2e (Hardcover, 2nd, Updated And Enlarged Edition)
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In this introductory treatment Ali Nayfeh presents different
concepts from dynamical systems theory and nonlinear dynamics in a
rigorous yet plan way. He systematically introduces models and
techniques and states the relevant ranges of validity and
applicability. The reader is provided with a clear operational
framework for consciously use rather than focused on the underlying
mathematical apparatus. The exposition is largely by means of
examples, dealt with up to their final outcome. For most of the
examples, the results obtained with the method of normal forms are
equivalent to those obtained with other perturbation methods, such
as the method of multiple scales and the method of averaging. The
previous edition had a remarkable success by researchers from all
over the world working in the area of nonlinear dynamics and their
applications in engineering. Additions to this new edition concern
major topics of current interest. In particular, the author added
three new chapters dedicated to Maps, Bifurcations of Continuous
Systems, and Retarded Systems. In particular the latter has become
of major importance in several applications, both in mechanics and
in different areas. Accessible to engineers and applied scientist
involved with nonlinear dynamics and their applications in a wide
variety of fields. It is assumed that readers have a knowledge of
basic calculus as well as the elementary properties of
ordinary-differential equations.
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