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An Introduction to Symbolic Dynamics and Coding

2021-01-21 Mathematics
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Release : 2021-01-21
Genre : Mathematics
Kind : eBook
Book Rating : 964/5 ( reviews)

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Book Synopsis An Introduction to Symbolic Dynamics and Coding by : Douglas Lind

Download or read book An Introduction to Symbolic Dynamics and Coding written by Douglas Lind. This book was released on 2021-01-21. Available in PDF, EPUB and Kindle. Book excerpt: Symbolic dynamics is a mature yet rapidly developing area of dynamical systems. It has established strong connections with many areas, including linear algebra, graph theory, probability, group theory, and the theory of computation, as well as data storage, statistical mechanics, and $C^*$-algebras. This Second Edition maintains the introductory character of the original 1995 edition as a general textbook on symbolic dynamics and its applications to coding. It is written at an elementary level and aimed at students, well-established researchers, and experts in mathematics, electrical engineering, and computer science. Topics are carefully developed and motivated with many illustrative examples. There are more than 500 exercises to test the reader's understanding. In addition to a chapter in the First Edition on advanced topics and a comprehensive bibliography, the Second Edition includes a detailed Addendum, with companion bibliography, describing major developments and new research directions since publication of the First Edition.

An Introduction to Symbolic Dynamics and Coding

2021-01-21 Language Arts & Disciplines
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Release : 2021-01-21
Genre : Language Arts & Disciplines
Kind : eBook
Book Rating : 28X/5 ( reviews)

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Book Synopsis An Introduction to Symbolic Dynamics and Coding by : Douglas Lind

Download or read book An Introduction to Symbolic Dynamics and Coding written by Douglas Lind. This book was released on 2021-01-21. Available in PDF, EPUB and Kindle. Book excerpt: Elementary introduction to symbolic dynamics, updated to describe the main advances in the subject since the original publication in 1995.

An Introduction To Chaotic Dynamical Systems

2018-03-09 Mathematics
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Release : 2018-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 937/5 ( reviews)

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Book Synopsis An Introduction To Chaotic Dynamical Systems by : Robert Devaney

Download or read book An Introduction To Chaotic Dynamical Systems written by Robert Devaney. This book was released on 2018-03-09. Available in PDF, EPUB and Kindle. Book excerpt: The study of nonlinear dynamical systems has exploded in the past 25 years, and Robert L. Devaney has made these advanced research developments accessible to undergraduate and graduate mathematics students as well as researchers in other disciplines with the introduction of this widely praised book. In this second edition of his best-selling text, Devaney includes new material on the orbit diagram fro maps of the interval and the Mandelbrot set, as well as striking color photos illustrating both Julia and Mandelbrot sets. This book assumes no prior acquaintance with advanced mathematical topics such as measure theory, topology, and differential geometry. Assuming only a knowledge of calculus, Devaney introduces many of the basic concepts of modern dynamical systems theory and leads the reader to the point of current research in several areas.

An Introduction to Dynamical Systems

1990-07-27 Mathematics
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Release : 1990-07-27
Genre : Mathematics
Kind : eBook
Book Rating : 507/5 ( reviews)

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Book Synopsis An Introduction to Dynamical Systems by : D. K. Arrowsmith

Download or read book An Introduction to Dynamical Systems written by D. K. Arrowsmith. This book was released on 1990-07-27. Available in PDF, EPUB and Kindle. Book excerpt: In recent years there has been an explosion of research centred on the appearance of so-called 'chaotic behaviour'. This book provides a largely self contained introduction to the mathematical structures underlying models of systems whose state changes with time, and which therefore may exhibit this sort of behaviour. The early part of this book is based on lectures given at the University of London and covers the background to dynamical systems, the fundamental properties of such systems, the local bifurcation theory of flows and diffeomorphisms, Anosov automorphism, the horseshoe diffeomorphism and the logistic map and area preserving planar maps . The authors then go on to consider current research in this field such as the perturbation of area-preserving maps of the plane and the cylinder. This book, which has a great number of worked examples and exercises, many with hints, and over 200 figures, will be a valuable first textbook to both senior undergraduates and postgraduate students in mathematics, physics, engineering, and other areas in which the notions of qualitative dynamics are employed.

A First Course in Dynamics

2003-06-23 Mathematics
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Release : 2003-06-23
Genre : Mathematics
Kind : eBook
Book Rating : 046/5 ( reviews)

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Book Synopsis A First Course in Dynamics by : Boris Hasselblatt

Download or read book A First Course in Dynamics written by Boris Hasselblatt. This book was released on 2003-06-23. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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