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Complex Dynamical Systems
  • Language: en
  • Pages: 232

Complex Dynamical Systems

In the last fifteen years, the Mandelbrot set has emerged as one of the most recognizable objects in mathematics. While there is no question of its beauty, relatively few people appreciate the fact that the mathematics behind such images is equally beautiful. This book presents lectures delivered during the AMS Short Course entitled ``Complex Dynamical Systems: The Mathematics Behind the Mandelbrot and Julia Sets'', held at the Joint Mathematics Meetings in Cincinnati in January 1994. The lectures cover a wide range of topics, including the classical work of Julia and Fatou on local dynamics of analytic maps as well as recent work on the dynamics of quadratic and cubic polynomials, the geometry of Julia sets, and the structure of various parameter spaces. Among the other topics are recent results on Yoccoz puzzles and tableaux, limiting dynamics near parabolic points, the spider algorithm, extensions of the theory to rational maps, Newton's method, and entire transcendental functions. Much of the book is accessible to anyone with a background in the basics of dynamical systems and complex analysis.

Bulletin ...
  • Language: en
  • Pages: 222

Bulletin ...

  • Type: Book
  • -
  • Published: 1893
  • -
  • Publisher: Unknown

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Philip Harpine and Catherine, and Their Descendants
  • Language: en
  • Pages: 620

Philip Harpine and Catherine, and Their Descendants

  • Type: Book
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  • Published: 1952
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  • Publisher: Unknown

The Harpine family came from Germany to Pennsylvania prior to 1720.

Complex Dynamics
  • Language: en
  • Pages: 665

Complex Dynamics

  • Type: Book
  • -
  • Published: 2009-11-03
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  • Publisher: CRC Press

Complex Dynamics: Families and Friends features contributions by many of the leading mathematicians in the field, such as Mikhail Lyubich, John Milnor, Mitsuhiro Shishikura, and William Thurston. Some of the chapters, including an introduction by Thurston to the general subject of complex dynamics, are classic manuscripts that were never published

Collected Papers of John Milnor
  • Language: en
  • Pages: 610

Collected Papers of John Milnor

This volume is the seventh in the series "Collected Papers of John Milnor." Together with the preceding Volume VI, it contains all of Milnor's papers in dynamics, through the year 2012. Most of the papers are in holomorphic dynamics; however, there are two in real dynamics and one on cellular automata. Two of the papers are published here for the first time. The papers in this volume provide important and fundamental material in real and complex dynamical systems. Many have become classics, and have inspired further research in the field. Some of the questions addressed here continue to be important in current research. In some cases, there have been minor corrections or clarifications, as well as references to more recent work which answers questions raised by the author. The volume also includes an index to facilitate searching the book for specific topics.

Proceedings of the United States National Museum
  • Language: en
  • Pages: 874

Proceedings of the United States National Museum

  • Type: Book
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  • Published: 1888
  • -
  • Publisher: Unknown

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The Myriapoda of North America
  • Language: en
  • Pages: 222

The Myriapoda of North America

  • Type: Book
  • -
  • Published: 1893
  • -
  • Publisher: Unknown

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Bulletin of the United States National Museum. No. 46. the Myriapoda of North America
  • Language: en
  • Pages: 214

Bulletin of the United States National Museum. No. 46. the Myriapoda of North America

Reprint of the original, first published in 1877.

Bulletin of the United States National Museum
  • Language: en
  • Pages: 730

Bulletin of the United States National Museum

  • Type: Book
  • -
  • Published: 1893
  • -
  • Publisher: Unknown

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