عنوان

Geometries and transformations /

(Number (ISBN

1107103401

(Number (ISBN

9781107103405

Title Proper

Geometries and transformations /

General Material Designation

[Book]

First Statement of Responsibility

Norman W. Johnson.

Place of Publication, Distribution, etc.

New York, NY :

Name of Publisher, Distributor, etc.

Cambridge University Press,

Date of Publication, Distribution, etc.

2018.

Date of Publication, Distribution, etc.

©2018

Specific Material Designation and Extent of Item

xv, 438 pages :

Other Physical Details

illustrations ;

Dimensions

25 cm

Text of Note

Includes bibliographical references and index.

Text of Note

Homogenous spaces -- Linear geometries -- Circular geometries -- Real collineation groups -- Equiareal collineations -- Real isometry groups -- Complex spaces -- Complex collineation groups -- Circularities and concatenations -- Unitary isometry groups -- Finite symmetry groups -- Euclidean symmetry groups -- Hyperbolic coxeter groups -- Modular transformations -- Quaternionic modular groups.

0

Text of Note

"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"--

Geometry, Textbooks.

Geometry.

MATHEMATICS-- Topology.

Number

Edition

Class number

Book number

Class number

System Code

Johnson, Norman W.,1930-

Date of Transaction

20200822145856.0

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

[Book]

Y