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Francis Bonahon - Low-Dimensional Geometry (Student Mathematical Library: IAS/Park City Mathematical Subseries) - 9780821848166 - V9780821848166
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Low-Dimensional Geometry (Student Mathematical Library: IAS/Park City Mathematical Subseries)

€ 89.88
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Description for Low-Dimensional Geometry (Student Mathematical Library: IAS/Park City Mathematical Subseries) Paperback. 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. There have been striking developments in the mathematics of 3-dimensional manifolds. This book introduces some of these important developments. Series: Student Mathematical Library. Num Pages: 384 pages, Illustrations. BIC Classification: PBM; PBP. Category: (UU) Undergraduate. Weight in Grams: 483.
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.

Product Details

Format
Paperback
Publication date
2009
Publisher
American Mathematical Society
Condition
New
Series
Student Mathematical Library
Number of Pages
384
Place of Publication
Providence, United States
ISBN
9780821848166
SKU
V9780821848166
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1

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