A First Course in Discrete Dynamical Systems (Universitext) - Tapa blanda

Libro 119 de 261: Universitext

Holmgren, Richard A.

 
9780387947808: A First Course in Discrete Dynamical Systems (Universitext)
Tapa blanda
ISBN 10: 0387947809 ISBN 13: 9780387947808
Editorial: Springer, 2013

Sinopsis

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.

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De la contraportada

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 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.

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Editorial
Springer
Año de publicación
2013
Idioma
Inglés
ISBN 10 
0387947809
ISBN 13 
9780387947808
Encuadernación
Tapa blanda
Número de edición
2
Número de páginas
244
Contacto del fabricante
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