Basic Sciences, Biology & Life Sciences, Mathematics, Mathematics, Biology, Economics - Mathematical & Quanitative Methods

Dynamical Systems

Name: Dynamical Systems
Author: Pierre N.V. Tu
ISBN: 9783540576617

by Pierre N.V. Tu

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Overview

This book - perhaps the only of its kind - gives a comprehensive account of Dynamical Systems in a plain non-technical language which is as rigorous as it can be made at this introductory level. Starting from the first steps of differential equations, on the assumption that readers only have a modest mathematical background, it quickly takes them to nonlinear dynamical systems, linearization theory, limit cycles, Gradient, Lagrangean and Hamiltonian dynamical systems. Apart from a new chapter on Floquet theory, Centre Manifold theorems and Liapunov-Schmidt reduction, this second edition also includes new materials, additional examples, illustrations and applications: almost every chapter has been re-written and enlarged to keep up with rapid advances in this field.

A comprehensive account of dynamical systems in plain, non-technical language, including applications in economics and biology. Starting from the first steps of differential equations, it then explores topics such as nonlinear dynamical systems, Lagrangean and Hamiltonian dynamical systems, as well as more advanced material such as bifurcation, chaos, catastrophes and optimal dynamical systems. 105 illustrations.

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Editorials

Booknews

Introduces the dynamic mathematical tools used increasingly in economics and biology, to students with only a modest background in calculus and matrix algebra. Starting with a review of linear algebra, progresses through differential equations, linearization theory, and limit cycles, to advanced topics such as bifurcation, chaos, and catastrophes. No index. Annotation c. Book News, Inc., Portland, OR (booknews.com)