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Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering, Second Edition (Studies in Nonlinearity) 2nd Edition

by Steven H. Strogatz (Author)

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Part of: Studies in Nonlinearity (3 books)

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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 mathematical theory.

In the twenty years since the first edition of this book appeared, the ideas and techniques of nonlinear dynamics and chaos have found application to such exciting fields as systems biology, evolutionary game theory, and socio-physics. This second edition includes new exercises on these cutting-edge developments, on topics as varied as curiosities of visual perception and the tumultuous love dynamics in Gone with the Wind.

ISBN-10

0813349109
ISBN-13

978-0813349107
Edition

2nd
Publisher

Westview Press
Publication date

July 29, 2014
Part of series

Studies in Nonlinearity
Language

English
Dimensions

6.25 x 1.25 x 9.25 inches
Print length

528 pages
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Editorial Reviews

Review

The new edition has a friendly yet clear technical style . . . One of the book's biggest strengths is that it explains core concepts through practical examples drawn from various fields and from real-world systems . . . the author's excellent use of geometric and graphical techniques greatly clarifies what can be amazingly complex behavior.” Physics Today

Nonlinear Dynamics and Chaos is an excellent book that effectively demonstrates the power and beauty of the theory of dynamical systems. Its readers will want to learn more.” Mathematical Association of America

Praise for the prior edition:

"Exceptionally well-written. Time after time, Strogatz gives explanations of concepts that are among the most lucid I have ever read...One of the best introductions to nonlinear dynamics currently available."
SIAM Review

"The examples impressed me with their subtlety and incisiveness. Important, delicate distinctions and exceptions are highlighted and accessible."
Physics Today

"More than any undergraduate book that I have seen in recent years, this book can lure students into the mathematical sciences, make them want to change their major, and spark in them some real intellectual curiosity."
UMAP Journal

About the Author

Steven Strogatz is the Schurman Professor of Applied Mathematics at Cornell University. His honors include MIT's highest teaching prize, a lifetime achievement award for the communication of mathematics to the general public, and membership in the American Academy of Arts and Sciences. His research on a wide variety of nonlinear systemsfrom synchronized fireflies to small-world networkshas been featured in the pages of Scientific American, Nature, Discover, Business Week, and The New York Times.

Product details

Publisher ‏ : ‎ Westview Press; 2nd edition (July 29, 2014)
Language ‏ : ‎ English
Paperback ‏ : ‎ 528 pages
ISBN-10 ‏ : ‎ 0813349109
ISBN-13 ‏ : ‎ 978-0813349107
Item Weight ‏ : ‎ 1.82 pounds
Dimensions ‏ : ‎ 6.25 x 1.25 x 9.25 inches

Best Sellers Rank: #59,410 in Books (See Top 100 in Books)
- #8 in Chaos Theory
- #24 in Calculus (Books)
- #677 in Unknown

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Steven H. Strogatz

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STEVEN STROGATZ is the Winokur Distinguished Professor for the Public Understanding of Science and Mathematics at Cornell University. A renowned teacher and one of the world’s most highly cited mathematicians, he has blogged about math for the New York Times and The New Yorker and has been a frequent guest on Radiolab and Science Friday. He lives in Ithaca, New York.

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4.7 out of 5

480 global ratings

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John Paul Windust

Student Review

Reviewed in the United States on October 29, 2023

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I am using it in a class right now, only up to chapter 6 and about halfway through the quarter. The book is easy to read. I'm more used to more terse writing in other math books that you have to read over and over, so this is a nice change from that. Questions are in line with the content of the text. The topic is more interesting than I expected, and that is because the book is so straightforward—tip of the hat to Strogatz.

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Mark Saroufim

A pedagogical masterpiece

Reviewed in the United States on June 15, 2020

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In the same way that Machine Learning helps you frame problems in the real world as data problems where you need to figure out what your label is given your input, this book was transformational to how I see the world around me.

At a high level you can describe physical phenomena around you using differential equations, many books do this already by showing you worked out examples or will show you techniques for how to solve differential equations without talking about the equations themselves too much. This book is different in that it helps you refine your intuition to figure out which differential equations would describe some physical process around you, how to visualize and gain intuition around how those differential equations work and finally help you categorize the complexity of different kinds of differential equations and how to go about solving them in a tractable way.

Now I see differential equations around me all the time, it's kinda weird but I like it.

18 people found this helpful

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Bailey Snee

VERY readable and a cool topic

Reviewed in the United States on July 10, 2020

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This book is great. In my nonlinear dynamics class, we didn’t quite make it through all of the book’s material, but I liked the content and the book enough to finish out the last 100 pages over my break. It’s very readable, more than most text books. But there are still the usual problems for practice as well.

One person found this helpful

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Dirk Bullock

Great Text

Reviewed in the United States on January 6, 2024

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I like this book. It is intuitive and not too rigorous. There are pictures and interesting examples to help the reader understand the subject. I now have a better understanding of convection rolls and chemical oscillators. However, this book seemed trivial after reading. I do not foresee myself using non-linear dynamics or chaos in any applications.

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JRS118

Formulas for the basis of art.

Reviewed in the United States on April 24, 2016

Verified Purchase

This book provides a means to expressing in art mathematical formulas that are bound in the language of numbers and the grammatical propositions they demonstrate with symbols like , (subtract, divide, multiply etc.) I couldn't progress in my thinking about theories like "What is gravity" until I got rid of notebooks. Doing art with sculpture and light, and flowing water helped change the number patterns into something else that I could use to think. Art becomes the platform for thinking. Music also helps suspend the components of a formula while other parts of the brain sort and assess the theory to raise it all to a level of understanding. The photos demonstrate an electromagnetic field that I dismantled. The fluorescent light sets off the alarm on a gauss meter it is so strong . The metal sink would interact with the water and deposit minerals extracted onto the surface of the sink. The application of a barrier that is non metallic stopped the electromagnet field from interacting with the water. The earth is a salt solution. It behaves like a battery and a sound wave through the axis of the earth may be what interacts with a gear driven spiral to turn the earth. When the sun stops shining on part of the earth the battery effect of the electromagnetic field is shut off. I am thinking that gravity is being defined by these interactions. My scientific peer group has ceased to exist and this book is a replacement.

6 people found this helpful

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Ray

An absolute masterpiece, and nothing less.

Reviewed in the United States on December 2, 2019

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An absolute masterpiece. All the knowledge one would really need to get started is Calculus. Well, to fully appreciate this book and learn from it, having some experience in ordinary differential equations and some rudimentary analysis is a huge plus. I say this because this book trades depth for accessibility, that is, in order for it to be widely comprehensive, it tends to only scratch the surface on most topics. However, with some basic experience in the previously mentioned subjects, one could understand the material at a deeper level.

The exercises are wonderful, and I encourage anyone to learn XPP to visualize many of the systems encountered. XPP a piece of software written by G. Bard Ermentrout in which you can plot bifurcation diagrams, solutions to systems, phase diagrams, etc (although ancient, there is a plethora of information and tutorial webpages on his site). You can also use Matlab (with Mathcont), but XPP is more straightforward (a bit janky) and FREE.

Whether you identify as pure, applied, both or none, I highly recommend any curious academic to go through this book.

10 people found this helpful

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Ezekiel Villarreal

Well Written

Reviewed in the United States on July 7, 2018

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This book is expertly written! The examples are clear and concise. I would highly recommend this book to anyone interested in the field (or students who have no choice but to buy the book)! If you are picking this up for "fun" (of your own volition), I would highly recommend following along with his recorded lectures on YouTube. They are recorded and posted by the mechanical engineering department at Cornell University. He follows along pretty well with the book in these lectures

3 people found this helpful

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SY

A practical guide

Reviewed in the United States on September 2, 2014

Verified Purchase

I am using this book as a "practice-first" guide to mathematics for the guy in his thirties, who struggles to understand why his high education was not done right 15 years ago, and do it so by himself this time.
Accompanied by the lectures on the subject (search the title on youtube), this is likely the best book on math out there for motivated unexperienced reader.
It will throw you to many practical fields of mathematics, and, having enough time, one can continue wandering and hunting for different subjects while eating this dish chapter by chapter (or lecture by lecture). For me, who has the luxury of not following any education plan, this is a delicious experience.

91 people found this helpful

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Lukas

Solid textbook, very readable.

Reviewed in Canada on February 14, 2024

Verified Purchase

This book is really readable and gives a solid introduction to chaos and nonlinear dynamics.

Fernando

Muy buena compra

Reviewed in Mexico on November 20, 2023

Verified Purchase

Es lo que esperaba, el libro a pesar de ser edición de India tiene el contenido de la versión americana pero a un precio inmejorable, el papel un poco delgado peeo por el precio no puedo pedir nada más.

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A.S

Great introduction to the subject

Reviewed in France on March 21, 2024

Verified Purchase

The book emphasizes intuition and illustrates each concept with several interesting examples from different domains (physics and biology, among others). It rarely falls back to the theorem/proof format, which might sacrifice some mathematical rigour, but it's perfect for an introduction. Unlike many books on similar topics, I find it really fun to read.

Simone

Top

Reviewed in Italy on March 13, 2024

Verified Purchase

Vero good

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EM

Studieboeken

Reviewed in the Netherlands on July 3, 2023

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Juiste druk, snelle bezorging, via Amazon zijn boeken soms sneller leverbaar dan de standaard studieboeken-leverancier.

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