Projective geometry: an introduction
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford [u.a.]
Oxford Univ. Press
2006
|
| Edition: | 1. publ. |
| Series: | Mathematics Oxford
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 198 S. Ill. |
| ISBN: | 0199298858 0199298866 9780199298853 9780199298860 |
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| 245 | 1 | 0 | |a Projective geometry |b an introduction |c Rey Casse |
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Record in the Search Index
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| adam_text | Contents
1.
Preliminaries
Fields
Revision examples in linear algebra
2.
The
The extended Euclidean plane
3.
The extended Euclidean three-dimensional space
The r-dimensional projective space Sr
Projective planes
Order of a finite projective space
Desargues
4.
Preliminaries
Field planes
Three worked examples in PG(2, F)
Homographies
Baer
Singer s Theorem
PG(r, F)
PG(3, F)
Cross-ratio and the harmonic property
Correlations and polarities
5.
Preliminaries
Introducing coordinates
Addition in
Multiplication in
Hall Ternary Ring
The Veblen-Wedderburn Ring
6.
(VjťJ-perspectivities
Group of elations
xji
(V,
The Hughes plane
The Hall planes
7.
Preliminaries
Conies
Conies over a finite field
Conies over fields of characteristic
Conic envelopes
Conies over finite fields of odd characteristic
Conies in PG(2, R)
A non-empty irreducible conic viewed as a line
Pencil and range of conies
8.
Preliminaries
Quadrics Q in PG(3, F)
Hyperbolic and elliptic quadrics of PG(3, F)
The twisted cubic
Further Reading
Index
|
| adam_txt |
Contents
1.
Preliminaries
Fields
Revision examples in linear algebra
2.
The
The extended Euclidean plane
3.
The extended Euclidean three-dimensional space
The r-dimensional projective space Sr
Projective planes
Order of a finite projective space
Desargues'
4.
Preliminaries
Field planes
Three worked examples in PG(2, F)
Homographies
Baer
Singer's Theorem
PG(r, F)
PG(3, F)
Cross-ratio and the harmonic property
Correlations and polarities
5.
Preliminaries
Introducing coordinates
Addition in
Multiplication in
Hall Ternary Ring
The Veblen-Wedderburn Ring
6.
(VjťJ-perspectivities
Group of elations
xji
(V,
The Hughes plane
The Hall planes
7.
Preliminaries
Conies
Conies over a finite field
Conies over fields of characteristic
Conic envelopes
Conies over finite fields of odd characteristic
Conies in PG(2, R)
A non-empty irreducible conic viewed as a line
Pencil and range of conies
8.
Preliminaries
Quadrics Q\ in PG(3, F)
Hyperbolic and elliptic quadrics of PG(3, F)
The twisted cubic
Further Reading
Index |
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| dewey-full | 516.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
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| dewey-search | 516.5 |
| dewey-sort | 3516.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 1. publ. |
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| isbn | 0199298858 0199298866 9780199298853 9780199298860 |
| language | English |
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| physical | XII, 198 S. Ill. |
| publishDate | 2006 |
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| series2 | Mathematics Oxford |
| spelling | Casse, Rey Verfasser aut Projective geometry an introduction Rey Casse 1. publ. Oxford [u.a.] Oxford Univ. Press 2006 XII, 198 S. Ill. txt rdacontent n rdamedia nc rdacarrier Mathematics Oxford Geometry, Projective Projektive Geometrie (DE-588)4047436-7 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Projektive Geometrie (DE-588)4047436-7 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014947560&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Casse, Rey Projective geometry an introduction Geometry, Projective Projektive Geometrie (DE-588)4047436-7 gnd |
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| title | Projective geometry an introduction |
| title_auth | Projective geometry an introduction |
| title_exact_search | Projective geometry an introduction |
| title_exact_search_txtP | Projective geometry an introduction |
| title_full | Projective geometry an introduction Rey Casse |
| title_fullStr | Projective geometry an introduction Rey Casse |
| title_full_unstemmed | Projective geometry an introduction Rey Casse |
| title_short | Projective geometry |
| title_sort | projective geometry an introduction |
| title_sub | an introduction |
| topic | Geometry, Projective Projektive Geometrie (DE-588)4047436-7 gnd |
| topic_facet | Geometry, Projective Projektive Geometrie Lehrbuch |
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