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Engineering - A First Course in Dynamics: with a Panorama of Recent Developments

Description

Book Synopsis: The theory of dynamical systems has given rise to the vast new area variously called applied dynamics, nonlinear science, or chaos theory. This introductory text covers the central topological and probabilistic notions in dynamics ranging from Newtonian mechanics to coding theory. The only prerequisite is a basic undergraduate analysis course. The authors use a progression of examples to present the concepts and tools for describing asymptotic behavior in dynamical systems, gradually increasing the level of complexity. Subjects include contractions, logistic maps, equidistribution, symbolic dynamics, mechanics, hyperbolic dynamics, strange attractors, twist maps, and KAM-theory.

Details

If you're looking to delve into the fascinating world of dynamical systems, look no further! Our book, A First Course in Dynamics: with a Panorama of Recent Developments, offers you a comprehensive and accessible introduction to the theory of dynamical systems. Whether you're an undergraduate student or a curious learner, this book is designed to cater to your needs.

What sets our book apart is its ability to bridge the gap between theory and application. We cover the central topological and probabilistic notions in dynamics, from Newtonian mechanics to coding theory. No matter what your background is, this book only requires a basic undergraduate analysis course as a prerequisite.

With a progressive series of examples, we present the concepts and tools needed to describe the asymptotic behavior in dynamical systems. We start with simple contractions and logistic maps, gradually building up to more intricate topics such as equidistribution, symbolic dynamics, and hyperbolic dynamics. You'll also explore fascinating subjects like strange attractors, twist maps, and KAM-theory.

Our goal is to provide you with a holistic understanding of applied dynamics, nonlinear science, and chaos theory. By the end of this book, you'll be equipped with a solid foundation to explore the wide range of cutting-edge developments in the world of dynamical systems.

Ready to embark on this exciting journey? Grab your copy of A First Course in Dynamics: with a Panorama of Recent Developments today and unlock the mysteries of this captivating field of study!

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