Three-Dimensional Geometry and Topology
Three-Dimensional Geometry and Topology 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…
Specifikacia Three-Dimensional Geometry and Topology
Three-Dimensional Geometry and Topology
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. A strong effort has been made to convey not just denatured formal reasoning (definitions, theorems, and proofs), but a living feeling for the subject. Hyperbolic geometry is the star.
In the 1920s and 1930s the mathematics of two-dimensional spaces was formalized. 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. 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
Geometry, Topology and Physics
Topology, Geometry and Gauge fields