William Thurston (1946-2012) was one of the great mathematicians of the twentieth century. He was a visionary whose extraordinary ideas revolutionized a broad range of areas of mathematics, from foliations, contact structures, and Teichm ller theory to automorphisms of surfaces, hyperbolic geometry, geometrization of 3-manifolds, geometric group theory, and rational maps. In addition, he discovered connections between disciplines that led to astonishing breakthroughs in mathematical understanding as well as the creation of entirely new fields. His far-reaching questions and conjectures led to enormous progress by other researchers. In What's Next?, many of today's leading mathematicians describe recent advances and future directions inspired by Thurston's transformative ideas.
This book brings together papers delivered by his colleagues and former students at "What's Next? The Mathematical Legacy of Bill Thurston," a conference held in June 2014 at Cornell University. It discusses Thurston's fundamental contributions to topology, geometry, and dynamical systems and includes many deep and original contributions to the field. Incisive and wide-ranging, the book explores how he introduced new ways of thinking about and doing mathematics--innovations that have had a profound and lasting impact on the mathematical community as a whole--and also features two papers based on Thurston's unfinished work in dynamics.
William Thurston (1946-2012) was one of the great mathematicians of the twentieth century. He was a visionary whose extraordinary ideas revolutionized a broad range of areas of mathematics, from foliations, contact structures, and Teichm ller theory to automorphisms of surfaces, hyperbolic geometry, geometrization of 3-manifolds, geometric group theory, and rational maps. In addition, he discovered connections between disciplines that led to astonishing breakthroughs in mathematical understanding as well as the creation of entirely new fields. His far-reaching questions and conjectures led to enormous progress by other researchers. In What's Next?, many of today's leading mathematicians describe recent advances and future directions inspired by Thurston's transformative ideas.
This book brings together papers delivered by his colleagues and former students at "What's Next? The Mathematical Legacy of Bill Thurston," a conference held in June 2014 at Cornell University. It discusses Thurston's fundamental contributions to topology, geometry, and dynamical systems and includes many deep and original contributions to the field. Incisive and wide-ranging, the book explores how he introduced new ways of thinking about and doing mathematics--innovations that have had a profound and lasting impact on the mathematical community as a whole--and also features two papers based on Thurston's unfinished work in dynamics.
Автор: Ohshika Ken`ichi, Papadopoulos Athanase Название: In the Tradition of Thurston: Geometry and Topology ISBN: 3030559270 ISBN-13(EAN): 9783030559274 Издательство: Springer Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: At the same time, it is a tribute to Thurston, one of the greatest geometers of all time, whose work extended over many fields in mathematics and who had a unique way of perceiving forms and patterns, and of communicating and writing mathematics.
Автор: Thurston, William P. Название: Three-dimensional geometry and topology ISBN: 0691083045 ISBN-13(EAN): 9780691083049 Издательство: Wiley Рейтинг: Цена: 116160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Hyperbolic geometry is the star. A strong effort has been made to convey not just denatured formal reasoning, but a living feeling for the subject. There are many figures, examples, and exercises of varying difficulty. This book develops some of the power of geometry in two and three dimensions, and the strong connection of geometry with topology.
Автор: Ohshika Ken`ichi, Papadopoulos Athanase Название: In the Tradition of Thurston: Geometry and Topology ISBN: 3030559300 ISBN-13(EAN): 9783030559304 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: At the same time, it is a tribute to Thurston, one of the greatest geometers of all time, whose work extended over many fields in mathematics and who had a unique way of perceiving forms and patterns, and of communicating and writing mathematics.
Автор: Sergey Fomin, Dylan Thurston Название: Cluster Algebras and Triangulated Surfaces Part II: Lambda Lengths ISBN: 1470429675 ISBN-13(EAN): 9781470429676 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 77610.00 T Наличие на складе: Невозможна поставка. Описание: For any cluster algebra whose underlying combinatorial data can be encoded by a bordered surface with marked points, the authors construct a geometric realization in terms of suitable decorated Teichmuller space of the surface.
Автор: Givental Название: Vladimir Arnold – Collected Works ISBN: 3662496127 ISBN-13(EAN): 9783662496121 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
VolumeIII of the Collected Works of V.I. Arnold contains papers written in the years 1972 to 1979.The main theme emerging in Arnold's work of this period is the development ofsingularity theory of smooth functions and mappings.Thevolume also contains papers by V.I. Arnold on catastrophe theory and on A.N.Kolmogorov's school, his prefaces to Russian editions of several books relatedto singularity theory, V. Arnold's lectures on bifurcations of discretedynamical systems, as well as a review by V.I. Arnold and Ya.B. Zeldovich ofV.V. Beletsky's book on celestial mechanics.Vladimir Arnold was one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors.
Автор: Barry Mazur, Jean-Pierre Serre Название: Collected Works of John Tate: Parts I and II ISBN: 0821890913 ISBN-13(EAN): 9780821890912 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 277200.00 T Наличие на складе: Невозможна поставка. Описание: In these volumes, a reader will find all of John Tate`s published mathematical papers-spanning more than six decades-enriched by new comments made by the author. Included also is a selection of his letters. His letters give us a close view of how he works and of his ideas in process of formation.
Автор: Barry Mazur, Jean-Pierre Serre Название: Collected Works of John Tate: Part I (1951-1975) ISBN: 0821890921 ISBN-13(EAN): 9780821890929 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 149690.00 T Наличие на складе: Невозможна поставка. Описание: In these volumes, a reader will find all of John Tate`s published mathematical papers-spanning more than six decades-enriched by new comments made by the author. Included also is a selection of his letters. His letters give us a close view of how he works and of his ideas in process of formation.
Автор: Benson Farb, David Gabai, Steven P. Kerckhoff Название: Collected Works of William P. Thurston with Commentary (the Set) ISBN: 1470451646 ISBN-13(EAN): 9781470451646 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 387150.00 T Наличие на складе: Нет в наличии. Описание: 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.
Название: Collected works of william p. thurston with commentary, ii ISBN: 147046389X ISBN-13(EAN): 9781470463892 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 127510.00 T Наличие на складе: Нет в наличии. Описание: 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. This volume contains Thurston`s papers on the geometry and topology of 3-manifolds, on complexity, constructions and computers, and on geometric group theory.
Автор: Juhasz, Andras Thurston, Dylan P. Zemke, Ian Название: Naturality and mapping class groups in heegard floer homology ISBN: 1470449722 ISBN-13(EAN): 9781470449728 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 80390.00 T Наличие на складе: Нет в наличии. Описание: We show that all versions of Heegaard Floer homology, link Floer homology, and sutured Floer homology are natural. That is, they assign concrete groups to each based 3-manifold, based link, and balanced sutured manifold, respectively. Furthermore, we functorially assign isomorphisms to (based) diffeomorphisms, and show that this assignment is isotopy invariant.
The proof relies on finding a simple generating set for the fundamental group of the "space of Heegaard diagrams," and then showing that Heegaard Floer homology has no monodromy around these generators. In fact, this allows us to give sufficient conditions for an arbitrary invariant of multi-pointed Heegaard diagrams to descend to a natural invariant of 3-manifolds, links, or sutured manifolds.
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