Geometries on surfaces / (Record no. 518422)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03802nam a22003738i 4500 |
| 001 - CONTROL NUMBER | |
| control field | CR9780511549656 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | UkCbUP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200124160240.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
| fixed length control field | m|||||o||d|||||||| |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 090511s2001||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780511549656 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521660587 (hardback) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | UkCbUP |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | UkCbUP |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA471 |
| Item number | .P73 2001 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516/.5 |
| Edition number | 21 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Polster, Burkard, |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Geometries on surfaces / |
| Statement of responsibility, etc | Burkard Polster and Günter Steinke. |
| 264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R) | |
| Place of production, publication, distribution, manufacture (R) | Cambridge : |
| Name of producer, publisher, distributor, manufacturer (R) | Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2001. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xxii, 490 pages) : |
| Other physical details | digital, PDF file(s). |
| 336 ## - Content Type (R) | |
| Content type term (R) | text |
| Content type code (R) | txt |
| Source (NR) | rdacontent |
| 337 ## - Media Type (R) | |
| Media type term (R) | computer |
| Media type code (R) | c |
| Source (NR) | rdamedia |
| 338 ## - Carrier Type (R) | |
| Carrier type term (R) | online resource |
| Carrier type code (R) | cr |
| Source (NR) | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| სერიის ცნობა | Encyclopedia of mathematics and its applications ; |
| Volume number/sequential designation | volume 84 |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Title | Geometries for Pedestrians -- |
| -- | Geometries of Points and Lines -- |
| -- | Geometries on Surfaces -- |
| -- | Flat Linear Spaces -- |
| -- | Models of the Classical Flat Projective Plane -- |
| -- | Convexity Theory -- |
| -- | Continuity of Geometric Operations and the Line Space -- |
| -- | Isomorphisms, Automorphism Groups, and Polarities -- |
| -- | Topological Planes and Flat Linear Spaces -- |
| -- | Classification with Respect to the Group Dimension -- |
| -- | Constructions -- |
| -- | Planes with Special Properties -- |
| -- | Other Invariants and Characterizations -- |
| -- | Related Geometries -- |
| -- | Spherical Circle Planes -- |
| -- | Models of the Classical Flat Mobius Plane -- |
| -- | Derived Planes and Topological Properties -- |
| -- | Constructions -- |
| -- | Groups of Automorphisms and Groups of Projectivities -- |
| -- | The Hering Types -- |
| -- | Characterizations of the Classical Plane -- |
| -- | Planes with Special Properties -- |
| -- | Subgeometries and Lie Geometries -- |
| -- | Toroidal Circle Planes -- |
| -- | Models of the Classical Flat Minkowski Plane -- |
| -- | Derived Planes and Topological Properties -- |
| -- | Constructions -- |
| -- | Automorphism Groups and Groups of Projectivities -- |
| -- | The Klein-Kroll Types -- |
| -- | Characterizations of the Classical Plane -- |
| -- | Planes with Special Properties -- |
| -- | Subgeometries and Lie Geometries -- |
| -- | Cylindrical Circle Planes -- |
| -- | Models of the Classical Flat Laguerre Plane -- |
| -- | Derived Planes and Topological Properties -- |
| -- | Constructions -- |
| -- | Automorphism Groups and Groups of Projectivities -- |
| -- | The Kleinewillinghofer Types -- |
| -- | Characterizations of the Classical Plane -- |
| -- | Planes with Special Properties -- |
| -- | Subgeometries and Lie Geometries -- |
| -- | Generalized Quadrangles. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | The projective, Möbius, Laguerre, and Minkowski planes over the real numbers are just a few examples of a host of fundamental classical topological geometries on surfaces. This book summarizes all known major results and open problems related to these classical point-line geometries and their close (nonclassical) relatives. Topics covered include: classical geometries; methods for constructing nonclassical geometries; classifications and characterizations of geometries. This work is related to many other fields including interpolation theory, convexity, the theory of pseudoline arrangements, topology, the theory of Lie groups, and many more. The authors detail these connections, some of which are well-known, but many much less so. Acting both as a reference for experts and as an accessible introduction for graduate students, this book will interest anyone wishing to know more about point-line geometries and the way they interact. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Geometry, Projective. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Surfaces. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Steinke, Günter, |
| Dates associated with a name | 1955- |
| Relator term | author. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| International Standard Book Number | 9780521660587 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Encyclopedia of mathematics and its applications ; |
| Volume number/sequential designation | v. 84. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1017/CBO9780511549656">https://doi.org/10.1017/CBO9780511549656</a> |
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