Chaotic Dynamics: Fractals, Tilings, and Substitutions - Couverture rigide

Goodson, Geoffrey R.

Couverture rigide

ISBN 10 : 1107112672 ISBN 13 : 9781107112674

Editeur : Cambridge University Press, 2016

Synopsis

This undergraduate textbook is a rigorous mathematical introduction to dynamical systems and an accessible guide for students transitioning from calculus to advanced mathematics. It has many student-friendly features, such as graded exercises that range from straightforward to more difficult with hints, and includes concrete applications of real analysis and metric space theory to dynamical problems. Proofs are complete and carefully explained, and there is opportunity to practice manipulating algebraic expressions in an applied context of dynamical problems. After presenting a foundation in one-dimensional dynamical systems, the text introduces students to advanced subjects in the latter chapters, such as topological and symbolic dynamics. It includes two-dimensional dynamics, Sharkovsky's theorem, and the theory of substitutions, and takes special care in covering Newton's method. Mathematica code is available online, so that students can see implementation of many of the dynamical aspects of the text.

A propos du livre

À propos de l'auteur

Geoffrey R. Goodson is Professor of Mathematics at Towson University, Maryland. He previously served on the faculty of the University of Witwatersrand and the University of Cape Town. His research interests include dynamical systems, ergodic theory, matrix theory, and operator theory. He has published more than thirty papers, and taught numerous classes on dynamical systems.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2016
• Langue: anglais
• ISBN 10: 1107112672
• ISBN 13: 9781107112674
• Reliure: Relié
• Nombre de pages: 416
• Coordonnées du fabricant: Cambridge University Press; https://www.cambridge.org/; ; Via Honduras,15; Pomezia; Italia; 71; Italie