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Collected Works of William P. Thurston with Commentary, III [Kietas viršelis]

Edited by , Edited by , Edited by
  • Formatas: Hardback, 586 pages, aukštis x plotis: 254x178 mm, weight: 1090 g
  • Serija: Collected Works
  • Išleidimo metai: 01-Apr-2022
  • Leidėjas: American Mathematical Society
  • ISBN-10: 1470463903
  • ISBN-13: 9781470463908
Kitos knygos pagal šią temą:
  • Formatas: Hardback, 586 pages, aukštis x plotis: 254x178 mm, weight: 1090 g
  • Serija: Collected Works
  • Išleidimo metai: 01-Apr-2022
  • Leidėjas: American Mathematical Society
  • ISBN-10: 1470463903
  • ISBN-13: 9781470463908
Kitos knygos pagal šią temą:
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.
Volume III
Preface xiii
Acknowledgements xv
Part 1 Dynamics and Complex Analysis
1(328)
Commentary: Dynamics
3(4)
(With John Milnor) "On iterated maps of the interval," Dynamical systems, (College Park, MD, 198687), 465-563, Lecture Notes in Math. 1342, Springer, Berlin, 1988
7(100)
"On the dynamics of iterated rational maps," February 1984 preprint
107(10)
"Entropy in dimension one," Frontiers in complex dynamics: In Celebration of John Milnor's 80th Birthday, Araceli Bonifant, Misha Lyubich, and Scott Sutherland, 339-384, Princeton Math. Ser., 51, Princeton Univ. Press, Princeton, NJ, 2014
117(6)
(With Hyungryul Baik, Gao Yan, John H. Hubbard, Tan Lei, Kathryn A. Lindsey and Dylan P. Thurston) "Degree-d-invariant laminations," What's Next?: The Mathematical Legacy of William P. Thurston, Dylan Thurston (ed.). Annals of Mathematics Studies 205, 259-325, Princeton University Press, Princeton, NJ, 2020
123(7)
(With Ethan M. Coven, William Geller and Sylvia Silberger) "The symbolic dynamics of tiling the integers," Israel J. Math
130(161)
(2002), 21-27
291(8)
(With Dennis P. Sullivan) "Extending holomorphic motions," Acta Math. 157 (1986), no. 3-4, 243-257
299(16)
"Zippers and univalent functions. The Bieberbach conjecture," (West Lafayette, Ind., 1985), 185-197, Math. Surveys Monogr., 21, Amer. Math. Soc, Providence, RI, 1986
315(14)
Part 2 Computer Science
329
Commentary: Computer Science
331(2)
(With James K. Park and Kenneth Steiglitz) "Soliton-like behavior in automata," Phys. D 19 (1986), no. 3, 423-432
333(10)
(With Daniel D. Sleator and Robert E. Tarjan) "Rotation distance, triangulations, and hyperbolic geometry," J. Amer. Math. Soc. 1 (1988), no. 3, 647-681
343(36)
(With Daniel D. Sleator and Robert E. Tarjan) "Short encodings of evolving structures," SI AM J. Discrete Math. 5 (1992), no. 3, 428-450
379(24)
(With Gary L. Miller, Shang-Hua Teng, and Stephen A. Vavasis) "Automatic mesh partitioning. Graph theory and sparse matrix computation," 57-84, IMA Vol. Math. Appi, 56, Springer, New York, 1993
403(28)
(With Gary L. Miller, Shang-Hua Teng, and Stephen A. Vavasis) "Separators for sphere-packings and nearest neighbor graphs," J. ACM 44 (1997), no. 1, 1-29
431(30)
(With Gary L. Miller, Shang-Hua Teng, and Stephen A. Vavasis) "Geometric separators for finite-element meshes," SIAM J. Sci. Comput. 19 (1998), no. 2, 364-386
461(24)
Papers for General Audiences
485(2)
Commentary: General Audience
487(2)
"On proof and progress in mathematics," Bull. Amer. Math. Soc. (N.S.) 30 (1994), no. 2, 161-177
489(18)
(With Jean-Pierre Bourguignon) "Interview de William Thurston," Gaz. Math. No. 65 (1995), 11-18
507(8)
"How to see 3-manifolds"; Topology of the Universe Conference (Cleveland, OH, 1997), Classical Quantum Gravity 15 (1998), no. 9, 2545-2571
515(28)
"The Eightfold Way: a mathematical sculpture by Helaman Ferguson," The Eightfold Way, 1-7, Math. Sci. R, es. Inst. Publ. 35, Cambridge Univ. Press, Cambridge, 1998
543(8)
Miscellaneous
551(2)
Commentary: Miscellaneous Papers
553(2)
"A Constructive Foundation for Topology," Senior Thesis, New College, June 14, 1967
555(40)
(With D. M. Kan) "Every connected space has the homology of a K(ir, 1)," Topology 15 (1976), no. 3, 253-258
595(6)
(With L. Vaserstein) "On K1-theory of the Euclidean space," Topology Appl. 23 (1986), no. 2, 145-148
601