000 -LEADER |
fixed length control field |
nam a22 7a 4500 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
190311b xxu||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781107103405 |
Terms of availability |
(hbk) |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
516.2 |
Item number |
JOH |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Johnson, Norman W. |
245 ## - TITLE STATEMENT |
Title |
Geometries and transformations |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc |
Cambridge : |
Name of publisher, distributor, etc |
Cambridge University Press |
Date of publication, distribution, etc |
2018 |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xv, 438 p. : |
Other physical details |
ill. ; |
Dimensions |
24.1 cm. |
365 ## - TRADE PRICE |
Price type code |
GBP |
Price amount |
59.99 |
Unit of pricing |
00 |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references and index. |
520 ## - SUMMARY, ETC. |
Summary, etc |
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" |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Geometry |
|
Topical term or geographic name as entry element |
MATHEMATICS |
|
Topical term or geographic name as entry element |
Transformations |
|
Topical term or geographic name as entry element |
Topology |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
Books |