Wilson, P. M. H.
Curved Spaces: From Classical Geometries to Elementary Differential Geometry
- ISBN 13:
- 9780521713900
- author:
- Wilson, P. M. H.
- format:
- Paperback
- publisher:
- Cambridge University Press
- language:
- English
- Publication Year:
- 2007
- Pages:
- 196
- Dimensions:
- 170 mm X 244 mm
- Genre:
- Calculus & mathematical analysis
- Condition:
- New
- Availability:
- Item usually sent within 5 working days
Description
Curved Spaces: From Classical Geometries to Elementary Differential Geometry
This self-contained textbook presents an exposition of well-known classical two-dimensional geometries, including Euclidean, spherical, hyperbolic, and the locally Euclidean torus. It introduces basic concepts such as Euler numbers for topological triangulations and Riemannian metrics.
With a focus on explicit proofs, this text provides students with an introduction to the more general theory of curved spaces, including embedded surfaces in Euclidean 3-space and abstract surfaces equipped with Riemannian metrics. The book includes numerous diagrams, helpful examples, and exercises to aid understanding.
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