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Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering (Studies in nonlinearity)

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Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering (Studies in nonlinearity) (Paperback)

by Steven H. Strogatz (Author)

5.0 out of 5 stars See all reviews (7 customer reviews)

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Product details

Paperback: 512 pages
Publisher: Perseus Books; illustrated edition edition (29 Dec 2000)
Language English
ISBN-10: 0738204536
ISBN-13: 978-0738204536
Product Dimensions: 23.4 x 15.2 x 2.8 cm

Average Customer Review: 5.0 out of 5 stars See all reviews (7 customer reviews)

Amazon.co.uk Sales Rank: 36,987 in Books (See Bestsellers in Books)

Popular in these categories:

#2 in	Books > Scientific, Technical & Medical > Mathematics > Applied Mathematics > Chaos & Fractal Theory
#9 in	Books > Science & Nature > Mathematics > Chaos
#10 in	Books > Science & Nature > Physics > Chaos & Dynamic Systems

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Product Description

This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors. A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with the mathematical theory. Richly illustrated, and with many exercises and worked examples, this book is ideal for an introductory course at the junior/senior or first-year graduate level. It is also ideal for the scientist who has not had formal instruction in nonlinear dynamics, but who now desires to begin informal study. The prerequisites are multivariable calculus and introductory physics.

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Customer Reviews

7 Reviews

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5.0 out of 5 stars (7 customer reviews)

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Most Helpful Customer Reviews

6 of 6 people found the following review helpful:

5.0 out of 5 stars Accessible chaos, 30 May 2004

By	Mekail Ahmed - See all my reviews

Strogatz's approach to Nonlinear Dynamics is suitable for anyone equipped with a good basic understanding of ordinary differential equations. He allows the reader to gradually build-up their understanding through a series of illustrations and examples - this is the sort of book that will be indispensable the night before a final year undergraduate Chaos and Nonlinear Dynamics exam. Not excessively mathematical, contains solid explanations and leaves you wanting to learn more about this fantastic area of physics.

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4 of 4 people found the following review helpful:

5.0 out of 5 stars Great intro to nonlinear dynamics with excellent examples, 28 Jul 1998

By A Customer

This review is from: Nonlinear Dynamics and Chaos (Studies in nonlinearity) (Hardcover)

This book is an excellent introductory graduate level text on nonlinear dynamics for those who wish to understand the basic concepts before seeing the mathematical rigor at the heart of the subject. Strogatz avoids getting caught up in mathematical nuances which often cloud the big picture for non-math students, and thereby clearly impresses upon the reader the essence of nonlinear dynamics, eventually building up to chaos. The examples and problems are truly unique and inspiring. This book is an excellent starting place for someone who knows little or nothing about nonlinear dynamics but has done some basic work with linear differential equations and linear algebra.

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3 of 3 people found the following review helpful:

5.0 out of 5 stars A sufficiently elementary and yet thorough introduction., 17 Jul 1998

By A Customer

This review is from: Nonlinear Dynamics and Chaos (Studies in nonlinearity) (Hardcover)

A very good book. Recommended for all readers familiar or even vaguely familiar with Ordinary Differential Equations and Calculus. Its informal style helps a lot. The examples are clear and enough background information is given to understand them.

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Most Recent Customer Reviews

5.0 out of 5 stars Great undergrad text
I recently took an undergrad course which used this book as the text. This book is very easy to follow, contains great explanations and diagrams, and is just plain interesting to... Read more

Published on 4 Aug 1998

5.0 out of 5 stars A little complex...
This is an excelent text with challenging problems (which you should work at for a while and not give up!)and clear explanations. Read more

Published on 15 April 1998

5.0 out of 5 stars Fantastic Introduction to Nonlinear Dynamics and Chaos
Strogatz gradually introduces you into the analysis of Dynamics, their interpretation and Evaluation all that with just moderate Calculus, Basic Ordinary Differential Equations... Read more

Published on 15 Feb 1998

5.0 out of 5 stars Great book
It is an absolutely marvelous text. I was looking for a text which introduced nonlinear dynamics and all its interesting applications to professors and scientists whose common... Read more

Published on 9 Jan 1998

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