Foundations of Incidence Geometry (Record no. 107877)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03518nam a22004335i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-642-20972-7 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20140220083802.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 110824s2011 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783642209727 |
| -- | 978-3-642-20972-7 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-3-642-20972-7 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA440-699 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBM |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT012000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Ueberberg, Johannes. |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Foundations of Incidence Geometry |
| Medium | [electronic resource] : |
| Remainder of title | Projective and Polar Spaces / |
| Statement of responsibility, etc | by Johannes Ueberberg. |
| 264 #1 - | |
| -- | Berlin, Heidelberg : |
| -- | Springer Berlin Heidelberg, |
| -- | 2011. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XII, 248 p. |
| Other physical details | online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Springer Monographs in Mathematics, |
| International Standard Serial Number | 1439-7382 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | I Projective and Affine Geometries -- 1. Introduction -- 2. Geometries and Pregeometries -- 3. Projective and Affine Planes -- 4. Projective Spaces -- 5. Affine Spaces -- 6. A Characterization of Affine Spaces -- 7. Residues and Diagrams -- 8. Finite geometries -- II Isomorphisms and Collineations -- 1. Introduction -- 2. Morphisms -- 3. Projections -- 4. Collineations of projective and affine spaces -- 5. Central Collineations -- 6. The Theorem of Desargues -- III Projective Geometry over a Vector Space -- 1. Introduction -- 2. The Projective Space P(V) -- 3. Homogeneous Coordinates of Projective Spaces -- 4. Automorphisms of P(V) -- 5. The Affine Space AG(W) -- 6. Automorphisms of A(W) -- 7. The First Fundamental Theorem -- 8. The Second Fundamental Theorem -- IV Polar Spaces and Polarities -- 1. Introduction -- 2. The Theorem of Buekenhout-Shult -- 3. The diagram of a polar space -- 4. Polarities -- 5. Sesquilinear Forms -- 6. Pseudo-quadrics -- 7. The Kleinian Polar Space -- 8. The Theorem of Buekenhout and Parmentier -- V Quadrics and Quadratic Sets -- 1. Introduction -- 2. Quadratic Sets -- 3. Quadrics -- 4. Quadratic Sets in PG(3, K) -- 5. Perspective Quadratic Sets -- 6. Classification of the Quadratic Sets -- 7. The Kleinian Quadric -- 8. The Theorem of Segre -- 9. Further Reading -- References -- Index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Incidence geometry is a central part of modern mathematics that has an impressive tradition. The main topics of incidence geometry are projective and affine geometry and, in more recent times, the theory of buildings and polar spaces. Embedded into the modern view of diagram geometry, projective and affine geometry including the fundamental theorems, polar geometry including the Theorem of Buekenhout-Shult and the classification of quadratic sets are presented in this volume. Incidence geometry is developed along the lines of the fascinating work of Jacques Tits and Francis Buekenhout. The book is a clear and comprehensible introduction into a wonderful piece of mathematics. More than 200 figures make even complicated proofs accessible to the reader. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Geometry. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Geometry. |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9783642209710 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Springer Monographs in Mathematics, |
| -- | 1439-7382 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/978-3-642-20972-7 |
| 912 ## - | |
| -- | ZDB-2-SMA |
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