A first course in discrete dynamical systems. Front Cover. Richard A. Holmgren. Springer-Verlag, – Mathematics – pages. Richard A. Holmgren. A First Course in. Discrete Dynamical. Systems. With 55 Figures. Springer-Verlag. New York Berlin Heidelberg London Paris. Tokyo Hong . Download Citation on ResearchGate | A first course in discrete dynamical systems / Richard A. Holmgren | Incluye bibliografía e índice }.
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The mathematics behind the pictures are beautiful in their own right and are the subject of this text. Mathematica programs that illustrate the dynamics are included in an appendix. The Best Books of Check out the top books of the year on our page Best Books of Product details Format Paperback pages Dimensions x x Looking for beautiful books?
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A first course in discrete dynamical systems / Richard A. Holmgren. – Version details – Trove
zystems Logic and Structure Dirk Van Dalen. Riemannian Geometry Sylvestre Gallot. Back cover copy 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.
The mathematics behind the pictures is beautiful in its own right and is the subject of this text.
A First Course in Discrete Dynamical Systems – Richard Holmgren – Google Books
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 diecrete covered are rearranged to make fiirst text more flexible. In particular, the material on symbolic dynamics is now optional, and the book can easily be used for a single-semester course dealing exclusively with functions of a single 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.
A First Course in Discrete Dynamical Systems
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.
Table of contents 1.
Cantor Sets and Chaos. Chaos and the Dynamics of the Logistic Function. Symbolic Dynamics and Metric Spaces. Symbolic Discret and the Logistic Function.
The Dynamics of Complex Functions. Newton’s Method in the Complex Plane.