Title
A First Course In Discrete Dynamical Systems (Universitext)-used
Delivery time: 8-12 business days (International)
1.1. Phase Portraits. Exercise Set 1. A Quick Look At Functions. Exercise Set 2. The Topology Of The Real Numbers. Exercise Set 3. Periodic Points And Stable Sets. 4.1 Graphical Analysis. Exercise Set 4. Sarkovskiis Theorem. Exercise Set 5. Differentiability And Its Implications. Exercise Set 6. Parametrized Families Of Functions And Bifurcations. Exercise Set 7. The Logistic Function Part Cantor Sets And Chaos. 8.1. A First Look At The Logistic Function When R ≫ 4. 8.2. Cantor Sets. 8.3. Chaos And The Dynamics Of The Logistic Function. 8.4. A Few Additional Comments On Cantor Sets. Exercise Set 8. The Logistic Function Part Topological Conjugacy. Exercise Set 9. The Logistic Function Part A Perioddoubling Cascade. Exercise Set 10. The Logistic Function Part Symbolic Dynamics. 11.1. Symbolic Dynamics And Metric Spaces. 11.2. Symbolic Dynamics And The Logistic Function. Exercise Set 11. Newtons Method. 12.1 Newtons Method For Quadratic Functions. 12.2 Newtons Method For Cubic Functions. 12.3 Intervals And Rates Of Convergence. Exercise Set 12. Numerical Solutions Of Differential Equations. Exercise Set 13. The Dynamics Of Complex Functions. 14.1. The Complex Numbers. 14.2. Complex Functions. 14.3. The Dynamics Of Complex Functions. 14.4. The Riemann Sphere. 14.5. Newtons Method In The Complex Plane. Exercise Set 14. The Quadratic Family And The Mandelbrot Set. 15.1 Generating Julia And Mandelbrot Sets On A Computer. Exercise Set 15. A.L. Iterating Functions. Finding The Value Of A Point Under Iteration. Tables Of Iterates. Controlling The Precision Of The Computations. Graphing Iterated Functions. A.2. Graphical Analysis. A.3. Bifurcation Diagrams. A.4. Julia Sets. A.5 The Mandelbrot Set. A.6 Stable Sets Of Newtons Method. References. Dynamical Systems. General Interest Books On Dynamics. Topics In Mathematics. Computer Programs And Algorithms.
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Frequently Asked Questions
- Q: What topics are covered in 'A First Course in Discrete Dynamical Systems'? A: This book covers a variety of topics including phase portraits, periodic points, bifurcations, and symbolic dynamics. It also discusses complex functions and the dynamics of the logistic function.
- Q: Who is the author of this book? A: The author of 'A First Course in Discrete Dynamical Systems' is Richard A. Holmgren.
- Q: What is the publication date of this book? A: The book was published on January 1, 1994.
- Q: What is the binding type of this book? A: The book comes in paperback binding.
- Q: How many pages does this book have? A: This book has a total of 226 pages.
- Q: Is this book suitable for beginners in dynamical systems? A: Yes, this book serves as an introductory text for those new to discrete dynamical systems, making it accessible for beginners.
- Q: What is the condition of the book being sold? A: The item condition is listed as 'Good', indicating that it is used but in acceptable condition.
- Q: What edition of the book is available? A: This listing is for the First Edition of 'A First Course in Discrete Dynamical Systems'.
- Q: Are there exercises included in the book? A: Yes, the book contains multiple exercise sets designed to reinforce the concepts discussed in each chapter.
- Q: What category does this book fall under? A: The book is categorized under Differential Equations.