Encounters with Chaos and Fractals
eBook - ePub

Encounters with Chaos and Fractals

Denny Gulick,Jeff Ford

  1. 432 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Encounters with Chaos and Fractals

Denny Gulick,Jeff Ford

Book details
Table of contents
Citations

About This Book

Encounters with Chaos and Fractals, Third Edition provides an accessible introduction to chaotic dynamics and fractal geometry. It incorporates important mathematical concepts and backs up the definitions and results with motivation, examples, and applications.

The Third Edition updates this classic book for a modern audience. New applications on contemporary topics, like data science and mathematical modelling, appear throughout. Coding activities are transitioned to open-source programming languages, including Python.

The text begins with examples of mathematical behavior exhibited by chaotic systems, first in one dimension and then in two and three dimensions. Focusing on fractal geometry, the authors introduce famous infinitely complicated fractals. How to obtain computer renditions of them are explained. The book concludes with Julia sets and the Mandelbrot set.

The Third Edition includes:

v More coding activities included in each section. The code is expanded to include pseudo-code, with specific examples in MATLAB (or it's open-source cousin Octave) and Python.

v Many more and updated exercises from previous editions.

v Proof writing exercises for a more theoretical course.

v Sections revised to include historical context.

v Short sections added to explain applied problems developing the mathematics.

This edition reveals how these ideas are continuing to be applied in the 21st century, while connecting to the long and winding history of dynamical systems. The primary focus is the beauty and diversity of these ideas. Offering more than enough material for a one-semester course, the authors show how these subjects continue to grow within mathematics and in many other disciplines.

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Yes, you can access Encounters with Chaos and Fractals by Denny Gulick,Jeff Ford in PDF and/or ePUB format, as well as other popular books in Matemáticas & Matemáticas general. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Chapman and Hall/CRC
Year
2024
ISBN
9781003835783
Edition
3
Topic
Matemáticas
Subtopic
Matemáticas general

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Series Page
  4. Title Page
  5. Copyright Page
  6. Contents
  7. Preface to the Second Edition
  8. Preface
  9. 1 Periodic Points
  10. 2 One-Dimensional Chaos
  11. 3 Two-Dimensional Chaos
  12. 4 Systems of Differential Equations
  13. 5 Introduction to Fractals
  14. 6 Creating Fractal Sets
  15. 7 Complex Fractals: Julia Sets and the Mandelbrot Set
  16. A Appendix: Computer Programs
  17. B Answers to Selected Exercises
  18. Bibliography
  19. Index