Introduction to Chaos Physics and Mathematics of Chaotic Phenomena

ISBN-13: 9781138458192 / Angielski / Twarda / 2019 / 176 str.

H Nagashima

Opis

This book focuses on explaining the fundamentals of the physics and mathematics of chaotic phenomena by studying examples from one-dimensional maps and simple differential equations. It is helpful for postgraduate students and researchers in mathematics, physics and other areas of science.

Recenzje

"… the book provides an interesting account of the chaotic behaviour in dynamical systems … [it] certainly serves as a useful source of reference for postgraduate students and researchers."
-Mathematics Today

"The book by Nagashima and Baba seems to combine this wide perspective and at the same time enough precision to get real insight in what is going on … Altogether this is an interesting new introduction to nonlinear dynamics and will certainly be worthwhile to try it out for a mixed audience."
-Nonlinear Science Today

"… this may be the best technical undergraduate book on chaos theory on the market. Nagashima and Baba eschew fancy color illustrations and concentrate on the theory instead. The exposition is entirely mathematical, presented in clear, terse fashion with numerous crisp graphs. Some 46 problems (with solutions) help to deepen the reader's understanding of the material. The focus is on one-dimensional maps and simple differential equations; this rather narrow scope allows a depth of coverage not normally seen in a book at this level."
-Choice Magazine

Spis treści

Preface to the first (Japanese) edition -- Preface to the English edition -- 1 What is chaos? -- 2 Li-Yorke chaos, topological entropy and Lyapunov number -- 3 Routes to chaos -- 4 Chaos in realistic systems -- Appendices -- References -- Solutions -- Index.

O autorze

Nagashima, H