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Cambridge University Press Geometries and Transformations

Name: Geometries and Transformations
Brand: Cambridge University Press
Price: 41.2 GBP
Availability: InStock

Algebra

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Description

Euclidean and other geometries are distinguished by the transformations that preserve their essential properties. Using linear algebra and transformation groups, this book provides a readable exposition of how these classical geometries are both differentiated and connected. Following Cayley and Klein, the book builds on projective and inversive geometry to construct 'linear' and 'circular' geometries, including classical real metric spaces like Euclidean, hyperbolic, elliptic, and spherical, as well as their unitary counterparts. The first part of the book deals with the foundations and general properties of the various kinds of geometries. The latter part studies discrete-geometric structures and their symmetries in various spaces. Written for graduate students, the book includes numerous exercises and covers both classical results and new research in the field. An understanding of analytic geometry, linear algebra, and elementary group theory is assumed.

Product Specifications

Brand: Cambridge University Press
Format: hardcover
ASIN: 1107103401
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 07 June 2018
Listed Since: 24 August 2016

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Cambridge University Press Geometries and Transformations

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