A first course in geometric topology and differential geometry
The uniqueness of this text in combining geometric topology and differential geometry lies in its unifying thread: the notion of a surface. With numerous illustrations, exercises and examples, the student comes to understand the relationship of the modern abstract approach to geometric intuition. The text is kept at a concrete level, avoiding unnecessary abstractions, yet never sacrificing mathematical rigor. The book includes topics not usually found in a single book at this level.
Read More ↓Title Statements
- Full title :A first course in geometric topology and differential geometry / Ethan D. Bloch.
Summary
The uniqueness of this text in combining geometric topology and differential geometry lies in its unifying thread: the notion of a surface. With numerous illustrations, exercises and examples, the student comes to understand the relationship of the modern abstract approach to geometric intuition. The text is kept at a concrete level, avoiding unnecessary abstractions, yet never sacrificing mathematical rigor. The book includes topics not usually found in a single book at this level.
Read More ↓Edition Statements
- Publication Date:©1997.
Publication Statements
- Publisher(s):Birkhäuser
- Place of Publication:Boston
- Language:eng
- Publication Date:©1997.
The Physical Object
- Description:xii, 421 pages : : illustrations ; : 24 cm
Edition Identifiers
- ISBN:0817638407, 9780817638405, 3764338407, 9783764338404
- oclc:ocm34514220
- LC Classification:QA611
- Dewey Decimal:516.3/63
Table of Contents
Topology of subsets of Euclidean space -- Topological surfaces -- Simplicial surfaces -- Curves in R³ -- Smooth surfaces -- Curvature of smooth surfaces -- Geodesics -- The Gauss-Bonnet theorem.
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