Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA471.SPR FCT 82617 (Browse shelf) | 1 | Available |
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QA471.SPR FCT 81274 Symmetry and pattern in projective geometry | QA471.SPR FCT 82298 Geometria proiettivo-differenziale | QA471.SPR FCT 82476 Perspectives on projective geometry | QA471.SPR FCT 82617 Diagram geometry | QA471.SPR FCT 82882 Geometria proiettiva | QA473.SPR FCT 82516 Foundations of incidence geometry | QA555.SPR FCT 81717 Éléments de géométrie rigide |
Colocação: Online
This book provides a self-contained introduction to diagram geometry. Tight connections with group theory are shown. It treats thin geometries (related to Coxeter groups) and thick buildings from a diagrammatic perspective. Projective and affine geometry are main examples. Polar geometry is motivated by polarities on diagram geometries and the complete classification of those polar geometries whose projective planes are Desarguesian is given. It differs from Tits' comprehensive treatment in that it uses Veldkamp's embeddings. The book intends to be a basic reference for those who study diagram geometry. Group theorists will find examples of the use of diagram geometry. Light on matroid theory is shed from the point of view of geometry with linear diagrams. Those interested in Coxeter groups and those interested in buildings will find brief but self-contained introductions into these topics from the diagrammatic perspective. Graph theorists will find many highly regular graphs. The text is written so graduate students will be able to follow the arguments without needing recourse to further literature. A strong point of the book is the density of examples.
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