Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering, Second Edition (Studies in Nonlinearity)
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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.
48 reviews for Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering, Second Edition (Studies in Nonlinearity)
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SY –
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.
Christy C. –
One of my favorite books! Great book to reference even in grad school.
P. Nelson –
Here is the subject elegantly pared down to just what a student absolutely needs to know, with Strogatz’s trademark elegance and wit. The book is a springboard to many field of science, showing how insights in one field illuminate another.
onglee –
Good book. Highly recommend it to others when seeking a literary review or just information on Chaos.
J. –
This textbook is great for helping to teach the concepts of dynamics, but I would not recommend using it to teach yourself. Dr. Strogatz is a fantastic communicator of mathematics. In my opinion you can only go so far into explaining dynamics through the written word, and this book (on occasion) has left me with asking more questions rather than answering them.
I do enjoy the addition of examples for the second edition, however there is not much else I could see in terms of making the book stand out as a better purchase than the original. For instance, I am often annoyed by some of the hand waving calculations that are used in the examples (certainly present in both editions). I realize that fully explained examples would leave the book about twice as thick, but it is that caliber of textbook which I find essential for effectively communicating this kind of math.
Overall, a good book to have, but I still don’t think of it as the best (still haven’t found one for this topic).
Ludmila –
Livro clássico e recomendado pelos professores do Instituto Santa Fé.
Usei como livro de referência no MOOC ” Nonlinear Dynamics: Mathematical and Computational Approaches” oferecido no site Complexity Explorer
Turtleman –
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.
Dave W –
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.
Hoseong Asher Lee –
great
queenofthesky –
👍🏻
luciditycheck –
Full disclosure: currently working on research under one of the author’s PhD advisees, now a professor himself. (The research is tangentially related to the topics of this book and I used it to get some background in the matter.)
Excellent book, very clearly written. As a rising third-year physics major I found it very digestible but still challenging (only used the first 8 chapters so far). I had to read it fairly quick as it was background for research, but looking forward to doing another more careful read and continuing on into the sections on chaos and fractals. It’s a small thing, but I particularly liked the chart in the first chapter where he groups various problems/topics in physics and other sciences by number of variables and linearity vs. nonlinearity, then qualitatively explains the chart and the relative “solved-ness” of each area. It’s nothing mind-blowing, but it’s just a very tidy chart that would have been nice to see earlier in my physics/math career.
One of the reviews on the back says something about the book being well written to the point of being likely to convince people to change their major or really begin to appreciate the beauty of math. As a student I can confirm this and am considering how to work applied math and nonlinear dynamics into future graduate studies.
This isn’t the best book for people without a strong calculus background or those who don’t want to read their share of equations and graphs, but if you are a non-mathy person and happen to come across it, the first chapter or two, plus the more qualitative pieces scattered throughout, may still be enlightening.
Christopher Marx –
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!
Alexander Gutiérrez –
Good
Ohio Dad –
book was used and in perfect shape. Son needed for college class.
Julia –
Very readable, lively, and easy to understand
Tony Galbier –
One of the best out there. Not the greatest in terms of perturbation theory but an excellent book if you want to learn nonlinear systems.
JRS118 –
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.
Mario José Suazo –
Excelente libro para principiantes.
Heemoii –
works nicely alongside his online lectures on youtube
Pauline Zinn –
Easy introduction. Lucid. Informal. Applied rather than theoretical.
Angel Gomez –
It was very helpful for understanding what the professor was saying and I learned straight from the book. Some sections are short and hard to understand
Robert L. Klungle –
Very well written and covers subject well. Received in stated time.
awsome me –
Extremely well written and understandable. Perhaps the most accessible math book I’ve ever seen.
HT Aaron –
Better than anticipated; purchased for research expecting endless equations, but found useful explanation of various applications.
Progress Asoluka –
Thank you for the book.
Peter Harpending –
The book is an absolute joy to read. My one complaint is that the book is a little bit too chatty. However, the clarity and beauty make up for the chattiness.
ac1368 –
great conditions
neuronerd –
A truly brilliant introduction to this material. The clarity of the writing and examples are unparalleled.
Ezekiel Villarreal –
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
Just Kenneth. –
Throughly thoroughly chaotic. That sums up the chaotic theory. This was the best book ever. For an introduction to the chaos theory, this book explains in detail the chaos theory, and the impact of the chaos theory. In fact, after I finished it, my mind was in chaos. The author was brilliant in explaining the chaos theory, and how it worked, and he gave a neo fundamentalist explanation of the chaos theory. At the end of it my mind was enlarged, amazed, and in total wonderment how he could explain it so clearly. This was a must read for anyone. I would say, this was the best book ever, for after that I understood, the chaos theory, and how it worked. Recommended reading for anyone interested in the chaos theory.
Ray –
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.
Jose Ortiz –
Strogatz is a master communicator. He presents ideas in a friendly and conversational tone, leaving out unnecessary rigor and describing lucidly deeper ideas. This book is a masterpiece and a genuine pleasure to read.
Mark Saroufim –
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.
Bailey Snee –
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.
Joseph –
This book presents nonlinear dynamics in a manner that should be accessible to anyone that has been acquainted with ODEs; virtually anyone will be able to take something helpful away. For the more mathematically inclined, this book will probably be a bit boring and slow-paced; texts that demand more mathematical maturity might be more enlightening.
Anibal –
Strogatz’s book is indeed a very nice and complete introduction in the field. However, it is a book for studying, not a divulgative text. It requires adavanced undergraduate maths, i.e., it is not an “easy read” book. I don’t understand why there are comments in that way. I recommend it to science or engineering students interested in this topic. For those interested in a conceptual introduction to complexity and/or chaos, it is better considering more divulgative books (Melanie Mitchell’s Complexity or Gleick’s Chaos, among many others)
Arthur R. Silen –
I study Complexity Science, and I have a collection of books authored by Professor Strogatz. This is a standard college textbook that I’ll be using to further advance my knowledge of chaos, nonlinear mathematics. and complex systems.
Twist Barbie –
Very well written. Good exercises. Strongly recommended.
Susi –
Muy buen libro, bien pedagógico
Está perfecto para iniciar en el mundo de la física y matemática no lineal.
Soy licenciada en física y tengo que recurrir varias veces a este libro para estudiar. 100% recomendado
Cameron Goode –
The content is good and has improvements over the previous version my only nitpick is the printing quality being much worse in this edition. The paper is quite thin and the printing is a bit blotchy but the plots and everything are still clear. That said the improvements and additions aren’t super huge. While appreicate them they aren’t like mind blowing.
Still I appreciate the high quality of the text and for an undergrad or even a grad student that may not have been exposed to more advanced aspects of ODEs and general non-linearity this remains the best text I know of. I owe it to introducing me to two-timing a technique I still take advantage of to this day.
saugata giri –
simply blown away by the wonderful way in thich the writer takes us through this very difficult subject. Its a wonderful buy, and really woth it.
L. C. –
Books arrived quickly in the advertised condition.
John Paul Windust –
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.
Fernando –
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 pero por el precio no puedo pedir nada más.
Dirk Bullock –
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.
Lukas –
This book is really readable and gives a solid introduction to chaos and nonlinear dynamics.
Simone –
Vero good
West Oz –
Product was as ordered and arrived on time.