Thurston S Work On Surfaces Mn 48

Author : Albert Fathi,François Laudenbach,Valentin Poénaru
Publisher : Princeton University Press
Page : 272 pages
File Size : 41,6 Mb
Release : 2021-07-13
Category : Mathematics
ISBN : 9781400839032

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Thurston's Work on Surfaces (MN-48) by Albert Fathi,François Laudenbach,Valentin Poénaru Pdf

This book provides a detailed exposition of William Thurston's work on surface homeomorphisms, available here for the first time in English. Based on material of Thurston presented at a seminar in Orsay from 1976 to 1977, it covers topics such as the space of measured foliations on a surface, the Thurston compactification of Teichmüller space, the Nielsen-Thurston classification of surface homeomorphisms, and dynamical properties of pseudo-Anosov diffeomorphisms. Thurston never published the complete proofs, so this text is the only resource for many aspects of the theory. Thurston was awarded the prestigious Fields Medal in 1982 as well as many other prizes and honors, and is widely regarded to be one of the major mathematical figures of our time. Today, his important and influential work on surface homeomorphisms is enjoying continued interest in areas ranging from the Poincaré conjecture to topological dynamics and low-dimensional topology. Conveying the extraordinary richness of Thurston's mathematical insight, this elegant and faithful translation from the original French will be an invaluable resource for the next generation of researchers and students.

Author : Rozaida Ghazali,Nazri Mohd Nawi,Mustafa Mat Deris,Jemal H. Abawajy,Nureize Arbaiy
Publisher : Springer Nature
Page : 415 pages
File Size : 46,9 Mb
Release : 2022-05-03
Category : Technology & Engineering
ISBN : 9783031008283

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Recent Advances in Soft Computing and Data Mining by Rozaida Ghazali,Nazri Mohd Nawi,Mustafa Mat Deris,Jemal H. Abawajy,Nureize Arbaiy Pdf

This book unfolds ways to transform data into innovative solutions perceived as new remarkable and meaningful value. It offers practical views of the concepts and techniques readers need to get the most out of their large-scale research and data mining projects. It strides them through the data-analytical thinking, circumvents the difficulty in deciphering complex data systems and obtaining commercialization value from the data. Also known as data-driven science, soft computing and data mining disciplines cover a broad spectrum, an interdisciplinary field of scientific methods and processes. The book, Recent Advances in Soft Computing and Data Mining, delivers sufficient knowledge to tackle a wide range of issues seen in complex systems. This is done by exploring a vast combination of practices and applications by incorporating these two domains. To thrive in these data-driven ecosystems, researchers, data analysts, and practitioners must choose the best design to approach the problem with the most efficient tools and techniques. To thrive in these data-driven ecosystems, researchers, data analysts, and practitioners must understand the design choice and options of these approaches, thus to better appreciate the concepts, tools, and techniques used.

Author : United States. Soil Conservation Service
Publisher : Unknown
Page : 476 pages
File Size : 45,9 Mb
Release : 1956
Category : Soil surveys
ISBN : OSU:32435028653855

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Soil Survey by United States. Soil Conservation Service Pdf

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 41,5 Mb
Release : 1961
Category : Soil surveys
ISBN : UOM:39015037705913

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Soil Survey by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 490 pages
File Size : 43,8 Mb
Release : 1961
Category : Electronic
ISBN : WISC:89044379246

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Soil survey of Shelby County, Iowa by Anonim Pdf

Author : Andrew J. Casson,Steven A. Bleiler
Publisher : Cambridge University Press
Page : 116 pages
File Size : 54,8 Mb
Release : 1988-08-18
Category : Mathematics
ISBN : 0521349850

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Automorphisms of Surfaces After Nielsen and Thurston by Andrew J. Casson,Steven A. Bleiler Pdf

A comprehensive introduction to selected aspects of modern low-dimensional topology for readers with a knowledge of basic algebra.

Author : Benson Farb,Dan Margalit
Publisher : Princeton University Press
Page : 490 pages
File Size : 45,9 Mb
Release : 2012
Category : Mathematics
ISBN : 9780691147949

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A Primer on Mapping Class Groups by Benson Farb,Dan Margalit Pdf

The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students. A Primer on Mapping Class Groups begins by explaining the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem. Along the way, central objects and tools are introduced, such as the Birman exact sequence, the complex of curves, the braid group, the symplectic representation, and the Torelli group. The book then introduces Teichmüller space and its geometry, and uses the action of Mod(S) on it to prove the Nielsen-Thurston classification of surface homeomorphisms. Topics include the topology of the moduli space of Riemann surfaces, the connection with surface bundles, pseudo-Anosov theory, and Thurston's approach to the classification.

Author : Anonim
Publisher : Unknown
Page : 746 pages
File Size : 50,9 Mb
Release : 1989
Category : Functions of complex variables
ISBN : UOM:39015015473930

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Reviews in Complex Analysis, 1980-86 by Anonim Pdf

Author : Danny Calegari
Publisher : Clarendon Press
Page : 384 pages
File Size : 41,8 Mb
Release : 2007-05-17
Category : Mathematics
ISBN : 9780191524639

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Foliations and the Geometry of 3-Manifolds by Danny Calegari Pdf

This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions. Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces, the importance of monotonicity, especially in 1-dimensional and co-dimensional dynamics, and combinatorial approximation, using finite combinatorical objects such as train-tracks, branched surfaces and hierarchies to carry more complicated continuous objects.

Author : Anonim
Publisher : Unknown
Page : 716 pages
File Size : 41,9 Mb
Release : 1919
Category : Building
ISBN : NYPL:33433071593523

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Engineering and Contracting by Anonim Pdf

Author : William P. Thurston
Publisher : American Mathematical Society
Page : 337 pages
File Size : 55,8 Mb
Release : 2023-06-16
Category : Mathematics
ISBN : 9781470474744

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The Geometry and Topology of Three-Manifolds by William P. Thurston Pdf

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 IV contains Thurston's highly influential, though previously unpublished, 1977–78 Princeton Course Notes on the Geometry and Topology of 3-manifolds. It is an indispensable part of the Thurston collection but can also be used on its own as a textbook or for self-study.

Author : Anonim
Publisher : Unknown
Page : 884 pages
File Size : 46,7 Mb
Release : 1952
Category : Chemistry, Technical
ISBN : UOM:39015082481352

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British Chemical and Physiological Abstracts by Anonim Pdf

Author : Robert Lipshitz,Peter Ozsváth,Dylan P. Thurston
Publisher : American Mathematical Soc.
Page : 279 pages
File Size : 45,5 Mb
Release : 2018-08-09
Category : Floer homology
ISBN : 9781470428884

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Bordered Heegaard Floer Homology by Robert Lipshitz,Peter Ozsváth,Dylan P. Thurston Pdf

The authors construct Heegaard Floer theory for 3-manifolds with connected boundary. The theory associates to an oriented, parametrized two-manifold a differential graded algebra. For a three-manifold with parametrized boundary, the invariant comes in two different versions, one of which (type D) is a module over the algebra and the other of which (type A) is an A∞ module. Both are well-defined up to chain homotopy equivalence. For a decomposition of a 3-manifold into two pieces, the A∞ tensor product of the type D module of one piece and the type A module from the other piece is ^HF of the glued manifold. As a special case of the construction, the authors specialize to the case of three-manifolds with torus boundary. This case can be used to give another proof of the surgery exact triangle for ^HF. The authors relate the bordered Floer homology of a three-manifold with torus boundary with the knot Floer homology of a filling.

Author : Anonim
Publisher : Unknown
Page : 1156 pages
File Size : 46,6 Mb
Release : 1952
Category : Chemistry
ISBN : NYPL:33433109848139

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British Abstracts by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 956 pages
File Size : 55,8 Mb
Release : 1893
Category : Encyclopedias and dictionaries
ISBN : PSU:000057448725

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The Encyclopædia Britannica by Anonim Pdf