Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, And Engineering (Studies in Nonlinearity) 1st Edition

by Steven H. Strogatz (Author)

106 customer reviews

ISBN-13: 978-0738204536

ISBN-10: 0738204536

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Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering, Second Edition (Studies in Nonlinearity) (Volume 1)
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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 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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Editorial Reviews

About the Author

Steven H. Strogatz is professor of applied mathematics at Cornell University. He received his Ph.D. from Harvard University in 1986. Professor Strogatz has been honored with several awards including MIT's highest teaching prize, the E.M. Baker Award for Excellence in Undergraduate Teaching, as well as a Presidential Young Investigator Award from the National Science Foundation. His research on a wide variety of nonlinear systems--from synchronized fireflies to small-world networks--has been featured in the pages of Scientific American, Nature, Discover, Business Week, and The New York Times .

Series: Studies in Nonlinearity
Paperback: 512 pages
Publisher: CRC Press; 1 edition (December 29, 2000)
Language: English
ISBN-10: 0738204536
ISBN-13: 978-0738204536
Product Dimensions: 6.1 x 1.2 x 9.2 inches
Shipping Weight: 1.6 pounds
Average Customer Review: 106 customer reviews
Amazon Best Sellers Rank: #112,980 in Books (See Top 100 in Books)
- #3 in Books > Science & Math > Mathematics > Applied > Biomathematics
- #25 in Books > Science & Math > Physics > Chaos Theory
- #80 in Books > Science & Math > Reference

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106 customer reviews

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Stanislav Yurin

A practical guide

September 1, 2014

Format: PaperbackVerified 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.

53 people found this helpful54 people found this helpful

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Turtleman

This book is perfect for self-study

January 20, 2015

Format: PaperbackVerified Purchase

I agree with what another reviewer said:
"if all math books are written in this clarity, the number of students in physics/engineering would rise considerably".

This is the one of the clearest textbooks I ever seen in my college life.
Clear words, helpful figures, many examples, ...
This book is perfect for self-study.

28 people found this helpful29 people found this helpful

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Amazon Customer

Best Math Textbook I've Read to Date

January 27, 2016

Format: PaperbackVerified Purchase

Preface: I'm a physicist first and a mathematician second, so rigor is less my focus than ideas. That said, this is the best math textbook I've ever read. I decided to start reading it the day before my class started, but by the time I walked into the class I was already to chapter 4 - the book was that easy to read. (I jumped into a higher level class because I knew I would be done the book in a week anyway.) If there was ever a math textbook I would recommend to people from outside of math, this would be it.

10 people found this helpful11 people found this helpful

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Dave W

good text book for nonlinear dynamics study.

February 4, 2015

Format: Kindle EditionVerified Purchase

Good text book for nonlinear dynamics. Probably the most quoted text on the subject. You tube videos of his intro course at Cornell follow book and are very worthwhile.

10 people found this helpful11 people found this helpful

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Christopher Marx

This has been excellent source for me to supplement a systems biology course ...

September 28, 2015

Format: PaperbackVerified Purchase

An outstanding book. I'm an empirical biologist with just a bit of (long distant) math background. This has been excellent source for me to supplement a systems biology course I am developing. I cannot say enough about how much I appreciate the appeal to intuition and specific examples and not just a series of one equation derivation after another. Well worth it!

10 people found this helpful11 people found this helpful

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Cheesenerd

Exceptionally well written

December 8, 2010

Format: PaperbackVerified Purchase

This book was the textbook in a course on nonlinear dynamics that I took. The course covered most of chapters 2-8 (chapter 1 is an introduction and is very short), so please consider my comments from that context. Speaking personally as an individual student- I tend to rely very heavily on my textbooks for learning and generally read them deeply. This book was no exception.

Overwhelmingly, the great strength of this book is the quality of the writing style. This is a very rare math book in that it is actually fun to read. The examples are for the most part very good- easy to follow and understand. The author focuses a lot on the big picture perspective of the techniques involved and does a superb job of developing a very good intuition and feel for nonlinear systems. In fact, the prose is so readable, I would not have any hesitation recommending this book for someone wanting to teach them self the topic (assuming the necessary background of course). I feel that this book could easily accommodate such a student.

Another great strength of this book is the way that ideas build upon one another. The author has masterfully written a book in which your intuition about early concepts pave the way for understanding later concepts even though missing some ideas in the beginning will not cripple you in later chapters. (IE, in many books if you do not understand chapter 1, you will fail in chapter 2, etc...)

The problems are very doable, but yet seem to capture the essence of ideas in the chapters well. This is in contrast to many books in which the easy problems are practically busy work, and the problems that teach you something require you to saw off your left foot. The author strikes a nice balance here. Another nice feature is that the author draws actual models from a broad range of disciplines to build the practice problem sets and worked examples.

The only real complaint I have about this book (as a pure math guy), is that this book is VERY skimpy on the theory(as in proofs and connection with deeper ideas)- but I think this book is targeted to a non-mathematics or an applied math audience. Personally, I found this frustrating and somewhat unsatisfying, but consider the nature of the class/audience. The author does sprinkle some theory around, such as the occasional reference to Topology and a section on index theory- but don't blink, you might miss it. The author rarely provides proof for theorems, those that he does provide are generally very simple and seem to be provided for their intuitive value rather than rigorous completeness. I considered giving it 4 stars instead of 5 due to the lack of rigor, but both considering its intended audience and its effectiveness at building intuition dismissed that consideration quickly. If you are looking for a book that digs into the theory, this is definitely not the book for you- at least not as a primary reference.

Another minor shortcoming (not so much a short coming as quality which is lacking which could make this book better) is that the book provides practice problems for use on a computer(appropriately) but does not provide any example code at all. This is not a big deal, a quick google search could easily provide you with a basic demonstration of the syntax necessary to plot a system using the language of your choice, but still. Personally, I would not let such a thing be a deal breaker for this book. (At least the author has not taken the other extreme and written the book entirely around one particular proprietary language!)

Despite these shortcomings, I strongly recommend this book either as a primary text for a course in nonlinear dynamics targeted to a non-pure-math audience, or as a secondary reference for anyone. I think this is a great book that will serve you well!

Oh, if the author is reading this post-
ADD MORE COLOR PICTURES OF CHAOTIC SYSTEMS PLEASE!! I love looking at those!

18 people found this helpful19 people found this helpful

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SILVIO FERREIRA

Very few changes in relation to the 1st edition

August 5, 2014

Format: PaperbackVerified Purchase

The second edition kept that exceptional quality of the first one, but added only a few new examples. If one already has the first edition, which is my case, the second one is totally dispensable.

80 people found this helpful81 people found this helpful

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Ezekiel Villarreal

Well Written

July 6, 2018

Format: PaperbackVerified Purchase

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

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