登入選單
返回Google圖書搜尋
Chaos and Fractals: The Mathematics Behind the Computer Graphics
Robert L. DevaneyKathleen T. Alligood
其他書名
The Mathematics Behind the Computer Graphics
出版American Mathematical Soc., 1989
主題Computers / Software Development & Engineering / Computer GraphicsComputers / Design, Graphics & Media / Graphics ToolsMathematics / CalculusScience / Chaotic Behavior in Systems
ISBN08218013769780821801376
URLhttp://books.google.com.hk/books?id=kXjHCQAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.