Low Dimensional Geometry

DOWNLOAD

Download Low Dimensional Geometry PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Low Dimensional Geometry book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Low Dimensional Geometry

DOWNLOAD
Author : Francis Bonahon
language : en
Publisher: American Mathematical Soc.
Release Date :

Low Dimensional Geometry written by Francis Bonahon and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

Low Dimensional Geometry

DOWNLOAD
Author : Francis Bonahon
language : en
Publisher: American Mathematical Soc.
Release Date : 2009-07-14

Low Dimensional Geometry written by Francis Bonahon and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-14 with Mathematics categories.

The study of 3-dimensional spaces brings together elements from several areas of mathematics. The most notable are topology and geometry, but elements of number theory and analysis also make appearances. In the past 30 years, there have been striking developments in the mathematics of 3-dimensional manifolds. This book aims to introduce undergraduate students to some of these important developments. Low-Dimensional Geometry starts at a relatively elementary level, and its early chapters can be used as a brief introduction to hyperbolic geometry. However, the ultimate goal is to describe the very recently completed geometrization program for 3-dimensional manifolds. The journey to reach this goal emphasizes examples and concrete constructions as an introduction to more general statements. This includes the tessellations associated to the process of gluing together the sides of a polygon. Bending some of these tessellations provides a natural introduction to 3-dimensional hyperbolic geometry and to the theory of kleinian groups, and it eventually leads to a discussion of the geometrization theorems for knot complements and 3-dimensional manifolds. This book is illustrated with many pictures, as the author intended to share his own enthusiasm for the beauty of some of the mathematical objects involved. However, it also emphasizes mathematical rigor and, with the exception of the most recent research breakthroughs, its constructions and statements are carefully justified.

Selected Applications Of Geometry To Low Dimensional Topology

DOWNLOAD
Author : Michael H. Freedman
language : en
Publisher: American Mathematical Soc.
Release Date : 1990

Selected Applications Of Geometry To Low Dimensional Topology written by Michael H. Freedman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.

Based on lectures presented at Pennsylvania State University in February 1987, this work begins with the notions of manifold and smooth structures and the Gauss-Bonnet theorem, and proceeds to the topology and geometry of foliated 3-manifolds. It also explains why four-dimensional space has special attributes.

Intelligence Of Low Dimensional Topology 2006

DOWNLOAD
Author : J Scott Carter
language : en
Publisher: World Scientific
Release Date : 2007-05-29

Intelligence Of Low Dimensional Topology 2006 written by J Scott Carter and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-29 with Mathematics categories.

This volume gathers the contributions from the international conference “Intelligence of Low Dimensional Topology 2006,” which took place in Hiroshima in 2006. The aim of this volume is to promote research in low dimensional topology with the focus on knot theory and related topics. The papers include comprehensive reviews and some latest results.

Three Dimensional Geometry And Topology

DOWNLOAD
Author : William P. Thurston
language : en
Publisher: Princeton University Press
Release Date : 1997

Three Dimensional Geometry And Topology written by William P. Thurston and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.

Every mathematician should be acquainted with the basic facts about the geometry of surfaces, of two-dimensional manifolds. The theory of three-dimensional manifolds is much more difficult and still only partly understood, although there is ample evidence that the theory of three-dimensional manifolds is one of the most beautiful in the whole of mathematics. This excellent introductory work makes this mathematical wonderland remained rather inaccessible to non-specialists. The author is both a leading researcher, with a formidable geometric intuition, and a gifted expositor. His vivid descriptions of what it might be like to live in this or that three-dimensional manifold bring the subject to life. Like Poincaré, he appeals to intuition, but his enthusiasm is infectious and should make many converts for this kind of mathematics. There are good pictures, plenty of exercises and problems, and the reader will find a selection of topics which are not found in the standard repertoire. This book contains a great deal of interesting mathematics.

High Dimensional Data Analysis With Low Dimensional Models

DOWNLOAD
Author : John Wright
language : en
Publisher: Cambridge University Press
Release Date : 2022-01-13

High Dimensional Data Analysis With Low Dimensional Models written by John Wright and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-13 with Computers categories.

Connects fundamental mathematical theory with real-world problems, through efficient and scalable optimization algorithms.

Foundations Of Hyperbolic Manifolds

DOWNLOAD
Author : John Ratcliffe
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Foundations Of Hyperbolic Manifolds written by John Ratcliffe and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. Particular emphasis has been placed on readability and completeness of ar gument. The treatment of the material is for the most part elementary and self-contained. The reader is assumed to have a basic knowledge of algebra and topology at the first-year graduate level of an American university. The book is divided into three parts. The first part, consisting of Chap ters 1-7, is concerned with hyperbolic geometry and basic properties of discrete groups of isometries of hyperbolic space. The main results are the existence theorem for discrete reflection groups, the Bieberbach theorems, and Selberg's lemma. The second part, consisting of Chapters 8-12, is de voted to the theory of hyperbolic manifolds. The main results are Mostow's rigidity theorem and the determination of the structure of geometrically finite hyperbolic manifolds. The third part, consisting of Chapter 13, in tegrates the first two parts in a development of the theory of hyperbolic orbifolds. The main results are the construction of the universal orbifold covering space and Poincare's fundamental polyhedron theorem.

The Geometry And Topology Of Three Manifolds

DOWNLOAD
Author : William P. Thurston
language : en
Publisher: American Mathematical Society
Release Date : 2023-06-16

The Geometry And Topology Of Three Manifolds written by William P. Thurston and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-16 with Mathematics categories.

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.

Geometry Of Low Dimensional Manifolds Volume 1 Gauge Theory And Algebraic Surfaces

DOWNLOAD
Author : S. K. Donaldson
language : en
Publisher: Cambridge University Press
Release Date : 1990

Geometry Of Low Dimensional Manifolds Volume 1 Gauge Theory And Algebraic Surfaces written by S. K. Donaldson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.

Distinguished researchers reveal the way different subjects (topology, differential and algebraic geometry and mathematical physics) interact in a text based on LMS Durham Symposium Lectures.