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portada Geometries and Transformations
Type
Physical Book
Publisher
Author
Year
2018
Language
English
Pages
452
Format
Hardcover
ISBN13
9781107103405
Edition No.
1
Categories

Geometries and Transformations

Norman W. Johnson (Author) · Cambridge University Press · Hardcover

Geometries and Transformations - Norman W. Johnson

New Book Imported to New Zealand
Delivery: 07 Jul - 14 Jul Shipping: 4 to 5 business days.
NZ$ 228.34
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NZ$ 228.34

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Synopsis "Geometries and Transformations "

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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