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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 systemsThis 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.About the Author:Steven Strogatz is in the Center for Applied Mathematics and the Department of Theoretical and Applied Mathematics at Cornell University. Since receiving his Ph.D. from Harvard university in 1986, Professor Strogatz has been honored with several awards, including the E.M. Baker Award for Excellence, the highest teaching award given by MIT....

Title : Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering
Author :
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ISBN : 9780738204536
Format Type : Paperback
Number of Pages : 512 Pages
Status : Available For Download
Last checked : 21 Minutes ago!

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

  • Mark Gently
    2019-02-19 03:59

    I skimmed this book while watching the author's corresponding lecture series on YouTube: https://www.youtube.com/playlist?list....

  • Robert
    2019-02-05 09:48

    I found this to be an excellent introduction to the subject, with clear explanations and extremely good organisation of the material. Examples build on each other in a logical fashion and make the pure mathematics concrete by using genuine scientific applications. The subject itself is fascinating and surprisingly mathematically tractable. The early chapters could be handled by anyone with A-level mathematics. Infrequent references to esoteric subjects like point-set topology are made for the sake of rigour but in fact can be totally ignored without loss of practical understanding of the techniques. Those needing more advanced material in any particular area will find adequate references.Great stuff!

  • Caroline
    2019-02-14 05:06

    This introduction to nonlinear dynamics is easy and entertaining to read. Those are qualities sorely missing from most math books out there. I recommend it to anyone -- undergraduate, graduate, or beyond -- who needs an excellent, beautifully clear introduction to nonlinear dynamics.

  • Kyle
    2019-01-24 07:05

    Fixed points, their equilibrium, bifurcation parameters, non-dimensionalization, linearization, romeo and juliet

  • Santiago Ortiz
    2019-02-13 10:00

    I'm just starting the book, but I already know this is a ★★★★★. This book is a window to Nature. The ratio between deepness and accessibility is amazing, thanks to the well written and clear texts and, specially, the smart and beautiful geometric explanations and qualitative solutions.

  • Daniel Brandtner
    2019-02-08 03:01

    Strogatz delivers a readable and comprehensible introduction to nonlinear systems and chaos. He prefers intuitive explanations and examples to rigorous mathematical proofs (though he always indicates where one could find more detailed analysis).

  • Johannes
    2019-02-11 08:44

    This is the book for nonlinear dynamics. Strogatz's writing is not only easy to follow, but is also pleasant, conversational, and at times even a bit whimsical. The book opens with very simple material, and while it eventually touches on some fairly advanced ideas (eg renormalization), it builds up to that point very carefully, so the student should never feel overwhelmed. The examples and problems are drawn from a wide range of fields, so students from disciplines besides math and physics should see some connection to their own interests.Some people criticize the book's scope, claiming that it is too limited, but specialized topics such as pattern formation and network dynamics are better reserved for a more advanced course.An excellent complement to the book is the set of lecture notes written by Michael Cross and available on his website: Chaos on the Web.

  • Mangoo
    2019-02-06 04:03

    Excellent mathematical introduction to the dynamics of non-linear systems. The text style is rather informal, and very clear, and many of the concepts and results presented are exposed in an intuitive way. Beginning from uni-dimensional systems and reaching to chaos and strange attractors, there's that typical progressive crescendo in complexity which makes the reading worth and sticking. The book also contains a lot of examples taken from several disciplines (physics, chemistry, population dynamics, biology, and so on) and many exercises at the end of chapters.Highly recommended.

  • Elio Nakouzi
    2019-02-16 07:12

    Top quality book. Accessible but powerful. Excellent examples to demonstrate the concepts. Even useful as a course textbook.

  • 123...N
    2019-02-02 02:05

    Nonlinear Dynamics and Chaos by Strogatz is an introduction to the qualitative study of systems of first degree differential equations. Topics included through the first six chapters (which is as far as I have currently read) are bifurcations, stability of fixed points, linearization about fixed points, and many others. The writing is more conversational than a normal textbook which makes it less painful to read but also has some drawbacks.Cons: The book is harder to use as a reference than typical textbooks because definitions and theorems are not boxed and set aside from the rest of the text (though I should note the first time a word is used it is usually in bold text). This can be a problem because the jargon is rather involved. Formal definitions are sometimes not given. Theorems are not accompanied by a proof (though for some of the theorems that is probably a good thing). There is no index of symbols (though to be fair the book has pretty standard notation). The pace is fairly brisk. Pros: A strength of the book is the number of interesting applications provided. Instead of a plain math problem the examples often involve a model of a situation from biology or physics. Overall a very readable math book with interesting examples that stresses developing geometrical intuition and the ability to apply the math above a theoretical and rigorous development of the material. A solid background in calculus is all that is really needed to understand the book, though a having a smattering of linear algebra would be useful at certain points. There is an associated lecture series by the author on youtube.Would Recommend: for people who need a refresher on the subject. People who are familiar with the math but are looking for applications.Would Recommend With Reservations: to people who are new to the subject (the book is well written but the quick pace, difficulty to reference, and lack of rigor can cause problems). Would Not Recommend: for someone looking for a rigorous and theoretical approach to the subject.

  • Stefano Finazzo
    2019-02-22 08:59

    Um exemplo de como se escrever um livro didático... realmente didático.Strogatz mostra o básico de sistemas dinâmicos começando do realmente básico, exigindo um mínimo de requisitos - um módico de conhecimentos de cálculo já é mais que suficiente. E leva o leitor bem longe, sem nunca deixá-lo abandonar a trilha - e exibindo a paisagem majestosa pelo meio do caminho.O tom é informal (e cheio de troças e piadinhas); o rigor matemático é secundário à legibilidade e à intuição. Em todo capítulo há aplicações para o mundo real - algumas bem pouco triviais. Em qualquer assunto, numa primeira exposição, é muito melhor saber por que as coisas são verdadeiras do que ter uma prova de que são, como dizem por aí.Sobre os tópicos: Strogatz começa com uma exposição introdutória, mas relativamente completa, de fluxos na reta e no plano. O cume dessa primeira parte é a discussão sobre ciclos limites e bifurcações. Depois inicia a segunda parte sobre caos e fractais, que é apresentada de uma forma mais esquemática, ainda mais introdutória - o objetivo é mais despertar o gostinho da coisa que ser uma referência completa.Alias, despertar o gosto pela coisa é o principal trunfo de Strogatz - missão na qual ele é bem sucedido - com láureas.Ajuda um pouquinho que o tópico do livro favorece a apresentação de figuras de encher os olhos...

  • Stuart Woolf
    2019-01-23 04:04

    4.5 stars.This is probably the best math book I've ever read. The author's approach, which is highly unusual in math, emphasizes intuition and visualization over abstractions and formulae - a winning strategy because it eases the learning curve for an otherwise difficult subject without stressing the technical details. Some readers will see this as a flaw, but I think the text is balanced correctly: after all, nonlinear dynamics is a field that yields very few analytical solutions, so why waste time discussing tools that don't work?The author also does a terrific job making his subject interesting. Some readers might counter that nonlinear dynamics is already interesting to the intended audience, requiring very little reinforcement; this is all true, but in my experience, the average math writer is a curiosity killer. Not so in this text: nonlinear principles are applied somewhat liberally to an array of situations you wouldn't expect, like dating patterns and irreversible insect outbreaks.Another reviewer called the book "a life-changing experience". Admittedly, it is the only book I have read that has made me want to go to graduate school.

  • Saul
    2019-01-31 08:55

    Very clear and engaging text on nonlinear dynamics with lots of great examples from real-world systems. Rarely do you read a textbook and think to yourself "Wow, I can't wait to find time to work on some of these homework problems." The descriptions often make use of geometric intuition alongside more rigorous derivations, and when the derivations get too difficult, the author omits them in favor of references to more technical works.One little gripe: the figures are sometimes kind of lousy or copied from much older works from as far back as the '80s and '90s. I could make better figures in a couple hours (and did while working the exercises), so the author could probably have found the time to do so (or had a grad student do it). Some of the problem may be the desire to make everything compatible with two-tone black-and-white for the paper editions. It's a shame, since the fractals are so beautiful when you render them nicely.A second little gripe: The e-book displays equations using little graphic inserts, which are often completely the wrong size. The result is readable enough, but not very attractive.

  • Erickson
    2019-02-05 05:11

    Excellent introductory text on nonlinear dynamics and chaos, with great examples and exercises covering various fields. It is advised though to read certain examples selectively (e.g. if you are not interested in Josephson junction, then skip it since it is somewhat distracting). But otherwise the narration and content are splendid.It is written in not so rigorous and technical sense - thus more advanced supplement is needed for more advanced purposes. It is also highly advisable to complement this text with a proper ODE textbook, which covers the methods from linear stability to chaos properly (e.g. ODE text by Boyce).It has some really great intuition and way of seeing things (e.g. formulating phase space of pendulum as cylinder instead of infinitely many fixed point system), so it helps.

  • Michele Cotter
    2019-01-23 09:14

    A really excellent book that served as a fascinating introduction to a complex and pervasive subject. I used the first 8 chapters to get to grips with nonlinear systems for a summer research project and will continue using it for the project and on my own time. Strogatz is a master of communicating complex topics clearly, and emphasizes intuition and understanding the mechanisms at work as the path to understanding the formulae.The book, though written in an almost literary fashion, would probably not be well received by those without a background in calculus and differential equations. As a rising junior in physics, I found it to be a healthy challenge but very accessible. Well worth adding to your shelf.

  • Milad
    2019-01-31 09:01

    X'(t)=AX+B. That's all we want to solve. This book teaches you how to solve them precisely at some points, but mostly it's all about dynamics and you don't have to be very precise in that area. The examples of the book are also very cool and fun to go through. For example, you analyze how a tumor grows and you even get the power to draw the dynamics in a plot. As another example, you find out about the dynamics of what happens if a specific number of sheep and rabbits are living together in one place.

  • Maximiliano Contreras
    2019-02-19 02:06

    Very readable introduction to the basis of Dynamical Systems. A lot of examples and very few mathematical background is required. In that sense is just an introduction; further reading is required to understand deeper concepts (Sharkovsky, for instance).I suggest to watch the lectures in Youtube; makes easier to understand some concepts and have discussions that are not addressed in the book.The references are flawless; contains the angular stones as well as more applied reviewed publications.

  • G
    2019-02-16 02:12

    Dear Professor Strogatz, thanks for brain massacre! :) Great book, fascinating skills of the author to bring closer something that is chaos and nonlinear dynamics. Despite the fact that I've found delight in this book, I'm considering myself as person who lacks the level of knowledge that is "sine qua non" for crafting credible review.

  • Tom
    2019-02-02 09:50

    An excellent overview of the order and structure in chaos. Describes the hisor of the thought in the field, advance, and how it is being applied and may be applied as the field continues to mature. The lecture is very interesting and enthusiatic. I do intend to read some of the materials that he suggested.

  • Dan Saunders
    2019-02-15 04:07

    Great introductory text on nonlinear dynamics and chaos. The last two chapter didn't seem all that important or useful, but the book gave plenty of hopping-off points to check out the subject matter in greater depth. The writing is incredible, and the problems are thought-provoking.

  • Marinho Lopes
    2019-01-28 02:08

    This is a very well written book about dynamical systems, which mostly focused on bifurcations and chaos. Not only the explanations are easy to follow, but also they are very enjoyable, with lots of interesting and clear examples. Very good book.

  • DJ
    2019-02-22 06:05

    Dang... Promised myself I wouldn't crack this open until classes were over but couldn't resist. Where will the gateway drug to nonlinear dynamics and chaos lead me? Selling sexual favors and stolen TVs for Lyapunov exponents?

  • Particle_Person
    2019-01-26 07:08

    This is one of those rare textbooks that are also readable in bed. There are tons of applications, including such oddities as how fireflies synchronize their blinking, how lasers work, and using chaos to send coded messages.

  • Philip
    2019-02-18 02:52

    A life-changing experience for me.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.

  • Kyle
    2019-02-05 06:54

    This book is great. From a perspective of undergraduate math, all the stamp collecting that is obfuscating in defining bifurcations, etc., are presented as clear and simple as possible. There is a minimum of jargon, and just very illustrative examples by worked problems.

  • Shawnesty Smith
    2019-02-22 09:46

    Worst textbook ever

  • Reem Sleem
    2019-02-19 09:00

    i need to buy this important book

  • Kim
    2019-01-26 02:11

    Only good if you've had 2 years of college math. I had to put this up though, becuase I AM reading it and I love it. As far as math books go it's very well written so that I can understand it!

  • Ben
    2019-02-23 08:12

    The most readable textbook I've read.

  • Rubi
    2019-02-02 09:50

    Really well written.