Foundations of incidence geometry : projective and polar spaces
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...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| الطبعة: | 1st ed. 2011. |
| سلاسل: | Springer Monographs in Mathematics
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| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Description d'après consultation du 18 février 2013 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Foundations of incidence geometry, projective and polar spaces, Johannes Ueberberg, Heidelberg, Springer, 2011, 1 vol. (XII-248 p.), Springer Monographs in mathematics, 978-3-642-20971-0 |
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|---|---|---|---|
| 001 | 973512 | ||
| 008 | 111115q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN156315688 | ||
| 020 | |a 9783642209727 | ||
| 041 | 0 | |a eng | |
| 082 | |a 516 | ||
| 084 | |a 51E24. 2010 | ||
| 084 | |a 51A50. 2010 | ||
| 084 | |a 51A05. 2010 | ||
| 100 | 1 | |a Ueberberg, Johannes. | |
| 245 | 1 | 0 | |a Foundations of incidence geometry : |b projective and polar spaces |c by Johannes Ueberberg. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Springer Monographs in Mathematics |x 2196-9922 | |
| 500 | |a Description d'après consultation du 18 février 2013 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | |a Géométrie analytique | ||
| 776 | 0 | |0 156960435 |t Foundations of incidence geometry |o projective and polar spaces |f Johannes Ueberberg |c Heidelberg |n Springer |d 2011 |p 1 vol. (XII-248 p.) |s Springer Monographs in mathematics |z 978-3-642-20971-0 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-642-20972-7 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-8FWRDJ4D-M |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750611758 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-642-20972-7 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753970856 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-642-20972-7 |z Accès INSA CVL | |
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