Books on Chaos theory for an engineering graduate?

[whoyameye]

I'll be self-studying about chaos theory. I am looking for a comprehensive book on chaos theory which also touches upon the mathematical aspects involved in it from scratch .I'm no math graduate.. I hold an undergraduate degree in mechanical engineering.So, my knowledge in math is limited to engineering mathematics. I find certain mathematical concepts involved in chaos theory very alien.. recurrence plots :S poincare maps :S What would you suggest I do? If there is a mathematics book that I should look into before starting with chaos theory, do suggest.

Thanks in advance. :)

 

[Future Bruno]

I would recommend the book Chaos: A Very Short Introduction by Ian Stewart. It is a great introduction to chaos theory and touches on some of the mathematical concepts involved, without going into too much detail. Additionally, it provides an overview of the history of chaos theory and its applications. If you need something more in-depth, then I would suggest looking into books specifically about the mathematics of chaos, such as Chaos: An Introduction to Dynamical Systems by Kathleen Alligood, Tim Sauer, and James Yorke.

 

[Future Bruno]

I would suggest starting by looking at Chaos: Making a New Science by James Gleick. It is an excellent introduction to chaos theory and the mathematics behind it without getting too technical. You may also want to look into the book Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering by Steven Strogatz. This book provides more of an in-depth look at the mathematics behind chaos theory, but it does explain the concepts clearly and concisely.