Good introductory book for chaos theory?

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Discussion Overview

The discussion revolves around recommendations for introductory books on chaos theory, suitable for someone with a background in mathematics and physics. Participants share various titles, highlighting their accessibility and relevance to the field.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant suggests "Chaos and Fractals" by Peitgen, noting its inclusion of the Rossler and Lorenz attractors, despite its age.
  • Another participant recommends "Nonlinear Dynamics and Chaos" by Steven Strogatz as a classic introductory text that is well-written and accessible, while also mentioning the broad applications of chaos theory.
  • A participant mentions James Gleick's popular book on chaos, appreciating its enduring quality despite being 30 years old.
  • Access to John R. Taylor's "Classical Mechanics" is mentioned, which includes a chapter on chaos, though it may not cover the topic comprehensively.
  • Another participant highlights "Chaos: An Introduction to Dynamical Systems" by Alligood, Sauer, and Yorke as an alternative to Strogatz's work, recalling its use in their course 15 years prior.
  • One participant recalls a set of Strogatz lectures available through MIT OpenCourseWare, suggesting it as a potential resource.
  • A suggestion is made for "Chaos in Dynamical Systems" by Ott, providing a DOI link for reference.
  • Another participant mentions "Introduction to Dynamics" by Percival and Richard as a nice introduction to dynamics, albeit not specifically a chaos theory book.

Areas of Agreement / Disagreement

Participants generally agree on the value of the suggested books, but there is no consensus on a single best introductory text, as multiple titles are proposed with varying degrees of accessibility and comprehensiveness.

Contextual Notes

Some recommendations may depend on the reader's specific interests within chaos theory, and the age of some texts may affect their relevance in the current academic landscape.

StenEdeback
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TL;DR
Good book about chaos theory?
Hi,

I have undergraduate level knowledge about mathematics, quantum physics, and general theory of relativity. Now I am curious about chaos theory, and I would be grateful for suggestions of good introductory books to chaos theory. They may be both introductory and a bit more advanced.Sten Edebäck
 
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I liked Chaos and Fractals by Peitgen: Springer link As I recall it includes the Rossler and Lorenz attractor. Book's a bit old however but I liked it a lot.
 
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Nonlinear dynamics and chaos by Steven Strogatz is a classic and often the book used in introductory courses on the subject. It's exceptional well written and easily digestible. More advanced treatments of the subject depends on the direction you want to go in. Chaos is a big field with a lot of cross disciplinary applications.
 
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Of course there is the popular book by James Gleick. I love his writing and although this is 30 yrs old it still holds up as a popular foray.
 
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If you happen to have access to John R. Taylor's Classical Mechanics there is a chapter dedicated to Chaos near the end. Obviously this will not be very comprehensive (in terms of breadth and depth), but his writing is comprehensive (in terms of accessibility!).

Another accessible text that's an alternative to Strogatz is Chaos: An Introduction to Dynamical Systems by Alligood, Sauer and Yorke. That's the one I used in my course some 15 years ago.
 
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brainpushups said:
Another accessible text that's an alternative to Strogatz is Chaos: An Introduction to Dynamical Systems by Alligood, Sauer and Yorke. That's the one I used in my course some 15 years ago.
I seem to remember a great set of Strogatz lectures...MIT Open coursework maybe? I'll check later.
 
hutchphd said:
I seem to remember a great set of Strogatz lectures...MIT Open coursework maybe? I'll check later.

Here's someLooks great.
 
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Yes those are the ones I meant thanks
 
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Thank you all for good suggestions! Now I have a lot of books to look at. Physics Forums is really very good.
 
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While not a chaos book per se, Introduction to Dynamics by Percival and Richard is a nice introduction to dynamics. (yes, I am being tautological)
 
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