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 ...
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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.
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Add this copy of Geometries and Transformations to cart. $42.82, very good condition, Sold by Prior Books rated 5.0 out of 5 stars, ships from Cheltenham, GLOUCESTERSHIRE, UNITED KINGDOM, published 2018 by Cambridge University Press.
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Very Good. Size: 6x1x9; Firm, square and tight with sturdy hinges, just showing a few minor bumps and some mild cosmetic wear. Hence a non-text page is stamped 'damaged'. Despite such this book is actually in better than very good condition. Thus the contents are crisp, fresh and clean with no pen-marks. Now offered for sale at a very reasonable price.
Add this copy of Geometries and Transformations to cart. $63.53, Sold by Books International rated 3.0 out of 5 stars, ships from Toronto, ON, CANADA, published 2018 by Cambridge University Press.
Add this copy of Geometries and Transformations to cart. $68.48, new condition, Sold by Books International rated 3.0 out of 5 stars, ships from Toronto, ON, CANADA, published 2018 by Cambridge University Press.
Add this copy of Geometries and Transformations to cart. $77.50, new condition, Sold by discount_scientific_books rated 5.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 2018 by Cambridge University Press.
Add this copy of Geometries and Transformations to cart. $79.93, new condition, Sold by discount_scientific_books rated 5.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 2018 by Cambridge University Press.
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Add this copy of Geometries and Transformations to cart. $97.88, new condition, Sold by Paperbackshop rated 4.0 out of 5 stars, ships from Bensenville, IL, UNITED STATES, published 2018 by Cambridge University Press.