A First Course In Discrete Dynamical Systems (Universitext)

A First Course In Discrete Dynamical Systems (Universitext)

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Discrete Dynamical Systems Are Essentially Iterated Functions. Given The Ease With Which Computers Can Do Iteration, It Is Now Possible For Anyone With Access To A Personal Computer To Generate Beautiful Images Whose Roots Lie In Discrete Dynamical Systems. Images Of Mandelbrot And Julia Sets Abound In Publications Both Mathematical And Not. The Mathematics Behind The Pictures Are Beautiful In Their Own Right And Are The Subject Of This Text. The Level Of The Presentation Is Suitable For Advanced Undergraduates With A Year Of Calculus Behind Them. Students In The Author'S Courses Using This Material Have Come From Numerous Disciplines; Many Have Been Majors In Other Disciplines Who Are Taking Mathematics Courses Out Of General Interest. Concepts From Calculus Are Reviewed As Necessary. Mathematica Programs That Illustrate The Dynamics And That Will Aid The Student In Doing The Exercises Are Included In An Appendix.

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Frequently Asked Questions

  • Q: What is the main focus of 'A First Course in Discrete Dynamical Systems'? A: The book primarily focuses on discrete dynamical systems, which are iterated functions. It explores the mathematical concepts behind these systems and how they can generate visually stunning images, such as Mandelbrot and Julia sets.
  • Q: Who is the intended audience for this book? A: The intended audience includes advanced undergraduates who have completed at least one year of calculus. It is suitable for students from various disciplines, including those taking mathematics courses out of general interest.
  • Q: What kind of mathematical background is necessary to understand this book? A: A basic understanding of calculus is necessary, as the book reviews relevant concepts as needed to facilitate comprehension of the material.
  • Q: Does the book include practical examples or exercises? A: Yes, the book includes Mathematica programs in an appendix that illustrate the dynamics discussed and assist students in completing exercises.
  • Q: What is the format and condition of the book? A: The book is in paperback format and is listed as 'New', ensuring that it is in pristine condition for readers.
  • Q: When was the second edition of this book published? A: The second edition was published on August 15, 1996.
  • Q: How many pages does the book contain? A: The book contains a total of 238 pages.
  • Q: Who is the author of 'A First Course in Discrete Dynamical Systems'? A: The author of the book is Richard A. Holmgren.
  • Q: What category does this book fall under? A: This book falls under the category of Differential Equations.
  • Q: Are there any prerequisites for using the Mathematica programs included in the book? A: While familiarity with calculus is recommended, specific prerequisites for using the Mathematica programs are not stated. Basic computer skills would be helpful.