Best Reference Books – Chaos, Fractals and Dynamical Systems

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We have compiled the list of Top 10 Best Reference Books on Chaos, Fractals and Dynamical Systems subject. These books are used by students of top universities, institutes and colleges. Here is the full list of top 10 best books on Chaos, Fractals and Dynamical Systems along with reviews.

Kindly note that we have put a lot of effort into researching the best books on Chaos, Fractals and Dynamical Systems subject and came out with a recommended list of top 10 best books. The table below contains the Name of these best books, their authors, publishers and an unbiased review of books on "Chaos, Fractals and Dynamical Systems" as well as links to the Amazon website to directly purchase these books. As an Amazon Associate, we earn from qualifying purchases, but this does not impact our reviews, comparisons, and listing of these top books; the table serves as a ready reckoner list of these best books.

1. “Chaos” by James Gleick

“Chaos” Book Review: This book introduces us about the concept and development of chaos theory. Chaos theory is a new field in physics and it uses traditional mathematical ways of understanding and explaining complex natural systems. The concepts like butterfly effect, universal constants, and strange attractors are all discussed in a book. Theories of Mitchell J Feigenbaum and D’arcy Thompson are also included in this book. Without using complex mathematics, the book explains about the Mandelbrot Set and Julia Set. The book tells us about the importance of scientific education.

2. “Chaos and Fractals: New Frontiers of Science” by Heinz-Otto Peitgen and Hartmut Jürgens

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“Chaos and Fractals: New Frontiers of Science” Book Review: There are fourteen chapters in this book that discuss the concepts of chaos and fractals. It also includes topics such as the Mandelbrot Set, Julia Sets, Cellular Automata, L- systems, Percolation and Strange Attractors. At the end of each chapter, there is a “Program of the Chapter”. There are two appendices in this book. The first appendix is written by Yuval Fisher who discusses the details and ideas of fractal images and compression. The second is written by Carl J.G. Evertsz and Benoit Mandelbrot and they talk about the foundations and implications of multifractals.

3. “Fractals and Chaos: The Mandelbrot Set and Beyond” by P W Jones and Benoit Mandelbrot

“Fractals and Chaos: The Mandelbrot Set and Beyond” Book Review: In this book there are 25 papers from the past 25 years. These papers are related to the famous inkblot figure. This book contains a view on how to approach the mathematical and physical universe. The topics that are included in the book are quadratic dynamics and its Julia and Mandelbrot sets, non quadratic dynamics, Kleinian limit sets, and Minkowski measure.

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4. “Chaos: An Introduction to Dynamical Systems (Textbooks in Mathematical Sciences)” by Kathleen T Alligood and Tim D Sauer

“Chaos: An Introduction to Dynamical Systems (Textbooks in Mathematical Sciences)” Book Review: This book was developed by authors of two universities. It contains the concept of nonlinear dynamics of either mathematics or physics. The only requirements are calculus, differential equations, and linear algebra. The book contains lab reports that explain concepts from the physical, chemical and biological sciences. At the end of each chapter there are challenges which guide the students about advanced topics.

5. “Fractals and Chaos” by A J Crilly and Rae Earnshaw
6. “The Beauty of Fractals: Images of Complex Dynamical Systems” by Heinz-Otto Peitgen and Peter H Richter

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“The Beauty of Fractals: Images of Complex Dynamical Systems” Book Review: The aim of the book was to impart knowledge about complex dynamics, chaos theory and the concept of fractals. It is a mathematics book and all the concepts in the book are well-explained. The book contains 184 illustrations and 88 full-colour pictures of Julia sets. The concepts like Verhulst Dynamics, Sullivan’s Classification of Critical Points, External Angles and Hubbard Trees etc are also included in the book. The book includes contributions of people like Gert Eilenberger, Adrien Douady etc.

7. “Invitation to Dynamical Systems (Dover Books on Mathematics)” by Edward R Scheinerman

“Invitation to Dynamical Systems (Dover Books on Mathematics)” Book Review: The book is aimed for those people who study mathematics besides linear algebra. The book stresses on the concept of geometry and intuition. Topics like classical theory of linear systems and the modern theory of nonlinear are included in the book. The concepts of chaotic systems, bifurcation, symbolic dynamics etc are also present in the book. The appendix part of the book contains topics like introduction to differential equations and explanations of how to write MATLAB, Mathematica, and C programs to compute dynamical systems. The book is beneficial for advanced undergraduates and graduate students who have two semesters of calculus and one semester of linear algebra.

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8. “Dynamical Systems and Fractals: Computer Graphics Experiments with Pascal” by Karl-Heinz Becker and Michael Dörfler

“Dynamical Systems and Fractals: Computer Graphics Experiments with Pascal” Book Review: This book is written in 1989 and it is about chaos, fractals and complex dynamics. This book is aimed for those people who have some knowledge about computers and enjoy using them. The mathematics in the book is kept simple with some formulae and the reader can learn about that part of the scientific research which was barely possible before the introduction of computers. There are two parts in the book. The first part contains problems with a solution in the form of a computer program. There are many exercises available for the reader so that he/she can practice it thoroughly. The second part contains information about MS-DOC and Turbo-Pascal, UNIX 4.2 BSD with Berkley Pascal and C with some example problems.

9. “Chaos: From Theory to Applications” by A A Tsonis

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“Chaos: From Theory to Applications” Book Review: This book is based on chaos theory and includes to main important points (I) random looking irregular behavior may be the product of determinism, and (2) nonlinear problems should be treated as nonlinear problems and not as simplified linear problems. This book is useful for upper-level undergraduate or graduate-level courses and can be used as a reference source for researchers. This book is written in a very simple and informative way with complete accuracy. The concepts are explained in a simple way and derivations are done step by step. The problems like dimension and Lyapunov exponent estimation, chaos and nonlinear prediction, and noise reduction are well explained.

10. “Nonlinearities in Action: Oscillations Chaos Order Fractals” by Andrei V Gaponov-Grekhov and Mikhail I Rabinovich
People who are searching for Free downloads of books and free pdf copies of these top 10 books on Chaos, Fractals and Dynamical Systems – we would like to mention that we don’t have free downloadable pdf copies of these good books and one should look for free pdf copies from these Authors only if they have explicitly made it free to download and read them.

We have created a collection of best reference books on "Chaos, Fractals and Dynamical Systems" so that one can readily see the list of top books on "Chaos, Fractals and Dynamical Systems" and buy the books either online or offline.

If any more book needs to be added to the list of best books on Chaos, Fractals and Dynamical Systems subject, please let us know.

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Manish Bhojasia - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He is Linux Kernel Developer & SAN Architect and is passionate about competency developments in these areas. He lives in Bangalore and delivers focused training sessions to IT professionals in Linux Kernel, Linux Debugging, Linux Device Drivers, Linux Networking, Linux Storage, Advanced C Programming, SAN Storage Technologies, SCSI Internals & Storage Protocols such as iSCSI & Fiber Channel. Stay connected with him @ LinkedIn | Youtube | Instagram | Facebook | Twitter