A FIRST COURSE IN DISCRETE DYNAMICAL SYSTEMS HOLMGREN PDF

It seems that you're in Germany. We have a dedicated site for Germany. This growth is due in part to the proliferation of inexpensive and powerful computers, which have provided access to the interesting and complex phenomena that are at the heart of dynamics. Discrete dynamical systems are essentially iterated functions, and if there is one thing computers do well, it is iteration. It is now possible for anyone with access to a personal computer to generate beautiful images whose roots lie in discrete dynamical systems.

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We use cookies to give you the best possible experience. By using our website you agree to our use of cookies. Dispatched from the UK in 3 business days When will my order arrive? Haim Brezis. Serge Lang. Loring W. Vladimir I. Vladimir A. Jean Jacod. Joseph J. Achim Klenke. Fernando Q. Manfredo P. Do Carmo. Saunders MacLane. Ferdinand Verhulst. Eberhard Freitag. Martin Arkowitz. Dirk Van Dalen. Clara Loeh. Benjamin Steinberg. Home Contact us Help Free delivery worldwide. Free delivery worldwide.

Bestselling Series. Harry Potter. Popular Features. Home Learning. Description Given the ease with which computers can do iteration it is now possible for almost anyone 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. Mathematica programs that illustrate the dynamics are included in an appendix. Product details Format Paperback pages Dimensions x x Illustrations note 4 Illustrations, black and white; XV, p. Other books in this series. Add to basket.

Algebra Serge Lang. An Introduction to Manifolds Loring W. Ordinary Differential Equations Vladimir I. Mathematical Analysis I Vladimir A. Probability Essentials Jean Jacod. Probability Theory Achim Klenke. Differential Forms and Applications Manfredo P. Complex Analysis Eberhard Freitag. Introduction to Homotopy Theory Martin Arkowitz. Logic and Structure Dirk Van Dalen. Geometric Group Theory Clara Loeh. 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.

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 topics covered 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 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.

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. Phase Portraits. Cantor Sets. Chaos and the Dynamics of the Logistic Function. Symbolic Dynamics and Metric Spaces. Symbolic Dynamics and the Logistic Function. The Complex Numbers. Complex Functions. The Dynamics of Complex Functions. The Riemann Sphere. Newton's Method in the Complex Plane.

Iterating Functions. Graphical Analysis. Bifurcation Diagrams. Julia Sets. Rating details. Book ratings by Goodreads. Goodreads is the world's largest site for readers with over 50 million reviews. We're featuring millions of their reader ratings on our book pages to help you find your new favourite book. Close X. Learn about new offers and get more deals by joining our newsletter. Sign up now. Follow us. Coronavirus delivery updates.

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A First Course in Discrete Dynamical Systems

Richard A. 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.

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It seems that you're in Germany. We have a dedicated site for Germany. 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.

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