آثار گردآوری‌شدهٔ ویلیام پی. تورستون با تفسیر. جلد سوم، دینامیک، علوم کامپیوتر و علاقه‌های عمومی

William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy. This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I–III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff. Volume III contains William Thurston's papers on dynamics and computer science, and papers written for general audiences. Additional miscellaneous papers are also included, such as his 1967 New College undergraduate thesis, which foreshadows his later work. Cover Geometry group theory Title page Copyright page Contents Preface Acknowledgments Dynamics and complex analysis Dynamics On iterated maps of the interval On the dynamics of interated rational maps Entropy in dimension one Degree-d-invariant laminations The symbolic dynamics of tiling the integers Extending holomorphic motions Zippers and univalent functions Computer Sciences Computer science Soliton-like behavior in automata Rotation distance, triangulations, and hyperbolic geometry Short encodings of evolving structures Automatic mesh partitioning Separators for sphere-packings and nearest neighbor Geometric separators for finite-element meshes Papers for general audiences General audience On proof and progress in mathematics Interview de William Thurston How to see 3-manifolds The eightfold way: A mathematical sculpture by Helaman Ferguson Miscellaneous Miscellaneous papers A constructive foundation for topology Every connected space has the homology of a K(Π,1) On K1-theory of the Euclidean space Other titles in this series Back Cover This set contains the Collected Works of William P. Thurston with Commentary, Volumes I-III, and The Geometry and Topology of Three-Manifolds. William Thurston's work connected whole mathematical subjects in entirely new ways and changed the way mathematicians think.