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Geometries And Transformations Johnson Norman W

  • SKU: BELL-9971696
Geometries And Transformations Johnson Norman W
$ 31.00 $ 45.00 (-31%)

5.0

58 reviews

Geometries And Transformations Johnson Norman W instant download after payment.

Publisher: Cambridge University Press
File Extension: PDF
File size: 4.42 MB
Pages: 438
Author: Johnson, Norman W
ISBN: 9781107103405, 1107103401
Language: English
Year: 2018

Product desciption

Geometries And Transformations Johnson Norman W by Johnson, Norman W 9781107103405, 1107103401 instant download after payment.

"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"-- 
Abstract: This readable exposition uses linear algebra and transformation groups to differentiate and connect both Euclidean and other geometries. Written for graduate students, the book includes numerous exercises and covers both classical results and new research in the field. 

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