Geometries and transformations / (Record no. 223241)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01958cam a22001818i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781107103405 (hardback) |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516 |
| Item number | JOH. G |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Johnson, Norman W., |
| 245 10 - TITLE STATEMENT | |
| Title | Geometries and transformations / |
| Statement of responsibility, etc. | Norman W. Johnson, Wheaton College. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | UK |
| Name of publisher, distributor, etc. | Cambridge University Press |
| Date of publication, distribution, etc. | 2018 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | pages cm |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references and index. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Machine generated contents note: Introduction; 1. Homogenous spaces; 2. Linear geometries; 3. Circular geometries; 4. Real collineation groups; 5. Equiareal collineations; 6. Real isometry groups; 7. Complex spaces; 8. Complex collineation groups; 9. Circularities and concatenations; 10. Unitary isometry groups; 11. Finite symmetry groups; 12. Euclidean symmetry groups; 13. Hyperbolic coxeter groups; 14. Modular transformations; 15. Quaternionic modular groups. |
| 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 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Geometry |
| Form subdivision | Textbooks. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | MATHEMATICS / Topology. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Book |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Campus Library Kariavattom | Campus Library Kariavattom | Processing Center | 18/03/2020 | 516 JOH. G | UCL29332 | 18/03/2020 | 18/03/2020 | Book |