Dreidimensionale Geometrie Topologie V1 HC NEU Sonstige ungelesen mit trivialen Regalspuren

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Hinweise des Verkäufers
“Covers look fine to like new. Book looks unread.”
Release Year
1997
Book Title
Three-Dimensional Geometry and Topology, Vol. 1
ISBN
9780691083049
Kategorie

Über dieses Produkt

Product Identifiers

Publisher
Princeton University Press
ISBN-10
0691083045
ISBN-13
9780691083049
eBay Product ID (ePID)
162466

Product Key Features

Number of Pages
328 Pages
Language
English
Publication Name
Three-Dimensional Geometry and Topology, Volume 1
Publication Year
1997
Subject
Geometry / General, Topology
Type
Textbook
Author
William P. Thurston
Subject Area
Mathematics
Series
Princeton Mathematical Ser.
Format
Hardcover

Dimensions

Item Height
1 in
Item Weight
20 Oz
Item Length
9.5 in
Item Width
6.4 in

Additional Product Features

Intended Audience
College Audience
LCCN
96-045578
Reviews
The present volume represents the culmination of nearly two decades of honoring his famous but difficult 1978 lecture notes. This beautifully produced, exquisitely organized volume now reads as easily as one could possibly hope given the profundity of the material. An instant classic., The present volume represents the culmination of nearly two decades of honoring his famous but difficult 1978 lecture notes. This beautifully produced, exquisitely organized volume now reads as easily as one could possibly hope given the profundity of the material. An instant classic. -- Choice, "The present volume represents the culmination of nearly two decades of honoring his famous but difficult 1978 lecture notes. This beautifully produced, exquisitely organized volume now reads as easily as one could possibly hope given the profundity of the material. An instant classic."-- Choice, "The present volume represents the culmination of nearly two decades of honoring his famous but difficult 1978 lecture notes. This beautifully produced, exquisitely organized volume now reads as easily as one could possibly hope given the profundity of the material. An instant classic." -- Choice, Winner of the 1997 for the Best Professional/Scholarly Book in Mathematics, Association of American Publishers, Winner of the 2005 Book Prize, American Mathematical Society Winner of the 1997 for the Best Professional/Scholarly Book in Mathematics, Association of American Publishers
Dewey Edition
21
Series Volume Number
35
Illustrated
Yes
Volume Number
Vol. 1
Dewey Decimal
516/.07
Table Of Content
Preface Reader's Advisory 1 What Is a Manifold? 3 2 Hyperbolic Geometry and Its Friends 43 3 Geometric Manifolds 109 4 The Structure of Discrete Groups 209 Glossary 289 Bibliography 295 Index 301 </
Synopsis
This book develops some of the extraordinary richness, beauty, and power of geometry in two and three dimensions, and the strong connection of geometry with topology. Hyperbolic geometry is the star. A strong effort has been made to convey not just denatured formal reasoning (definitions, theorems, and proofs), but a living feeling for the subject. There are many figures, examples, and exercises of varying difficulty. This book was the origin of a grand scheme developed by Thurston that is now coming to fruition. In the 1920s and 1930s the mathematics of two-dimensional spaces was formalized. It was Thurston's goal to do the same for three-dimensional spaces. To do this, he had to establish the strong connection of geometry to topology--the study of qualitative questions about geometrical structures. The author created a new set of concepts, and the expression "Thurston-type geometry" has become a commonplace. Three-Dimensional Geometry and Topology had its origins in the form of notes for a graduate course the author taught at Princeton University between 1978 and 1980. Thurston shared his notes, duplicating and sending them to whoever requested them. Eventually, the mailing list grew to more than one thousand names. The book is the culmination of two decades of research and has become the most important and influential text in the field. Its content also provided the methods needed to solve one of mathematics' oldest unsolved problems--the Poincaré Conjecture. In 2005 Thurston won the first AMS Book Prize, for Three-dimensional Geometry and Topology . The prize recognizes an outstanding research book that makes a seminal contribution to the research literature. Thurston received the Fields Medal, the mathematical equivalent of the Nobel Prize, in 1982 for the depth and originality of his contributions to mathematics. In 1979 he was awarded the Alan T. Waterman Award, which recognizes an outstanding young researcher in any field of science or engineering supported by the National Science Foundation., This book develops some of the extraordinary richness, beauty, and power of geometry in two and three dimensions, and the strong connection of geometry with topology. Hyperbolic geometry is the star. A strong effort has been made to convey not just denatured formal reasoning (definitions, theorems, and proofs), but a living feeling for the subject. There are many figures, examples, and exercises of varying difficulty. This book was the origin of a grand scheme developed by Thurston that is now coming to fruition. In the 1920s and 1930s the mathematics of two-dimensional spaces was formalized. It was Thurston's goal to do the same for three-dimensional spaces. To do this, he had to establish the strong connection of geometry to topology--the study of qualitative questions about geometrical structures. The author created a new set of concepts, and the expression "Thurston-type geometry" has become a commonplace. Three-Dimensional Geometry and Topology had its origins in the form of notes for a graduate course the author taught at Princeton University between 1978 and 1980. Thurston shared his notes, duplicating and sending them to whoever requested them. Eventually, the mailing list grew to more than one thousand names. The book is the culmination of two decades of research and has become the most important and influential text in the field. Its content also provided the methods needed to solve one of mathematics' oldest unsolved problems--the Poincar Conjecture. In 2005 Thurston won the first AMS Book Prize, for Three-dimensional Geometry and Topology . The prize recognizes an outstanding research book that makes a seminal contribution to the research literature. Thurston received the Fields Medal, the mathematical equivalent of the Nobel Prize, in 1982 for the depth and originality of his contributions to mathematics. In 1979 he was awarded the Alan T. Waterman Award, which recognizes an outstanding young researcher in any field of science or engineering supported by the National Science Foundation.
LC Classification Number
QA685.T49 1997

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