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A First Course in Discrete Dynamical Systems (Universitext) | 
 enlarge | Author: Richard A. Holmgren
Publisher: Springer
Category: Book
List Price: $59.95
Buy New: $26.95
You Save: $33.00 (55%)
New (21) Used (14) from $26.95
Rating:  2 reviews
Sales Rank: 1237530
Media: Paperback
Edition: 2nd
Pages: 223
Number Of Items: 1
Shipping Weight (lbs): 0.8
Dimensions (in): 9.2 x 6.1 x 0.6
ISBN: 0387947809
Dewey Decimal Number: 514.74
EAN: 9780387947808
Publication Date: August 17, 2000
Availability: Usually ships in 1-2 business days
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Condition: Ships next business day from NY
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Product Description
A discrete dynamical system can be characterized as an iterated function. Given the efficiency 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 presentation is suitable for advanced undergraduates who have completed a year of college-level calculus. 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 the appendix. In this second edition, the covered topics are rearranged to make the text more flexible. In particular, the material on symbolic dynamics is now optional and the book can easily be used for a semester course dealing exclusively with functions of a real variable. Alternatively, the basic properties of dynamical systems can be introduced using functions of a real variable and then the reader can skip directly to the material on the dynamics of complex functions. Additional changes include the simplification of several proofs; a thorough review and expansion of the exercises; and substantial improvement in the efficiency of the Mathematica programs.
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| Customer Reviews:
Amazing motivational introduction October 18, 2008
Dmitry Zinenko
An excellent short motivational reading / introductory course material. Starts ground up and uses very simple hands-on examples to demonstrate the fascinating behavior of non-linear dynamic systems (chaos, fractals, etc). Covers most of the basic methodology.
The book also has a lot of excellent exercises for reinforcing the material, for different difficulty levels.
An excellent book May 27, 2004
E.Ahmed (Egypt)
0 out of 2 found this review helpful
This is an excellent book for teaching for mathematics students. Besides the standard material it contains a chapter about some numerical methods as dynamical systems. I strongly propose that a third updated edition is made.
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