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"I fell in love with Crosby, Stills, and Nash's song 'Southern Cross' when I was fifteen. By the time I got to college, 'I'm going to sail around the world someday' was sort of my pickup line." Continue »

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Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering

by Steven Strogatz

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

This textbook is aimed at newcomers to nonlinear dynamics and chaos. The presentation stresses analytical methods, concrete examples, and geometric intuition. 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 mathematical theory.
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Product Details

ISBN:
9780738204536
Subtitle:
Applications to Physics, Biology, Chemistry, and Engineering
Author:
Strogatz, Steven
Author:
Strogatz, Steven H.
Publisher:
Westview Press
Location:
Cambridge, Mass.
Subject:
Physics
Subject:
Chemistry - General
Subject:
Biology
Subject:
Dynamics
Subject:
Chaotic Behavior in Systems
Subject:
Nonlinear theories
Subject:
Life Sciences - Biology - General
Subject:
General science
Edition Number:
1st pbk. print.
Edition Description:
Trade Paper
Series:
Studies in nonlinearity
Series Volume:
2
Publication Date:
January 1994
Binding:
Paperback
Grade Level:
General/trade
Language:
English
Illustrations:
Yes
Pages:
498
Dimensions:
9.22x6.03x1.04 in. 1.56 lbs.
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