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Author: Robert L. Devaney
Publisher: American Mathematical Soc.
ISBN: 0821801376
Category : Computers
Languages : en
Pages : 176
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Book Description
The terms chaos and fractals have received widespread attention in recent years. The alluring computer graphics images associated with these terms have heightened interest among scientists in these ideas. This volume contains the introductory survey lectures delivered in the American Mathematical Society Short Course, Chaos and Fractals: The Mathematics Behind the Computer Graphics, on August 6-7, 1988, given in conjunction with the AMS Centennial Meeting in Providence, Rhode Island. In his overview, Robert L. Devaney introduces such key topics as hyperbolicity, the period doubling route to chaos, chaotic dynamics, symbolic dynamics and the horseshoe, and the appearance of fractals as the chaotic set for a dynamical system. Linda Keen and Bodil Branner discuss the Mandelbrot set and Julia sets associated to the complex quadratic family z -> z2 + c. Kathleen T. Alligood, James A. Yorke, and Philip J. Holmes discuss some of these topics in higher dimensional settings, including the Smale horseshoe and strange attractors. Jenny Harrison and Michael F. Barnsley give an overview of fractal geometry and its applications. -- from dust jacket.
Author: Robert L. Devaney
Publisher: American Mathematical Soc.
ISBN: 0821801376
Category : Computers
Languages : en
Pages : 176
Get Book Here
Book Description
The terms chaos and fractals have received widespread attention in recent years. The alluring computer graphics images associated with these terms have heightened interest among scientists in these ideas. This volume contains the introductory survey lectures delivered in the American Mathematical Society Short Course, Chaos and Fractals: The Mathematics Behind the Computer Graphics, on August 6-7, 1988, given in conjunction with the AMS Centennial Meeting in Providence, Rhode Island. In his overview, Robert L. Devaney introduces such key topics as hyperbolicity, the period doubling route to chaos, chaotic dynamics, symbolic dynamics and the horseshoe, and the appearance of fractals as the chaotic set for a dynamical system. Linda Keen and Bodil Branner discuss the Mandelbrot set and Julia sets associated to the complex quadratic family z -> z2 + c. Kathleen T. Alligood, James A. Yorke, and Philip J. Holmes discuss some of these topics in higher dimensional settings, including the Smale horseshoe and strange attractors. Jenny Harrison and Michael F. Barnsley give an overview of fractal geometry and its applications. -- from dust jacket.
Author: Robert L. Devaney
Publisher: Addison Wesley Publishing Company
ISBN:
Category : Mathematics
Languages : en
Pages : 212
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Book Description
Introduces the mathematical topics of chaos, fractals, and dynamics using a combination of hands-on computer experimentation and precalculas mathmetics. A series of experiments produce fascinating computer graphics images of Julia sets, the Mandelbrot set, and fractals. The basic ideas of dynamics--chaos, iteration, and stability--are illustrated via computer projects.
Author: Michael Frame
Publisher: Cambridge University Press
ISBN: 9780883851692
Category : Computers
Languages : en
Pages : 232
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Book Description
Publisher Description
Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 572
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Book Description
Author:
Publisher:
ISBN:
Category : Forests and forestry
Languages : en
Pages : 280
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Book Description
Author: Nancy D. Lorimer
Publisher:
ISBN:
Category : Forests and forestry
Languages : en
Pages : 52
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Book Description
Author: Timothy Wegner
Publisher:
ISBN:
Category : Computer graphics
Languages : en
Pages : 364
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Book Description
The dazzling world of fractals is now at the fingertips of any computer user with a wonderful new program, included with the book, which combines the features of fractal microscope, a paint prgram, and a lab bench. It's called FRACTINT, and it lets users control fractal generation, manipulation, editing, alteration and storage. The program enables users to generate any of 60 built-in fractals or type in their own fractal formulas.
Author: Robert M. Young
Publisher: Cambridge University Press
ISBN: 9780883853177
Category : Mathematics
Languages : en
Pages : 436
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Book Description
This book explores the interplay between the two main currents of mathematics, the continuous and the discrete.
Author: Consortium for Mathematics and Its Applications (U.S.)
Publisher: Macmillan
ISBN: 9780716747826
Category : Mathematics
Languages : en
Pages : 946
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Book Description
The sixth edition of the acclaimed classroom favorite, offer a number of new features to help instructors strenghten the mathematical literacy of their students.
Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 626
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Book Description
