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Generalized Polygons: Modern Birkhäuser Classics

Autor Hendrik Van Maldeghem
en Limba Engleză Paperback – 5 ian 2012
Generalized Polygons is the first book to cover, in a coherent manner, the theory of polygons from scratch. In particular, it fills elementary gaps in the literature and gives an up-to-date account of current research in this area, including most proofs, which are often unified and streamlined in comparison to the versions generally known. Generalized Polygons will be welcomed both by the student seeking an introduction to the subject as well as the researcher who will value the work as a reference. In particular, it will be of great value for specialists working in the field of generalized polygons (which are, incidentally, the rank 2 Tits-buildings) or in fields directly related to Tits-buildings, incidence geometry and finite geometry. The approach taken in the book is of geometric nature, but algebraic results are included and proven (in a geometric way!). A noteworthy feature is that the book unifies and generalizes notions, definitions and results that exist for quadrangles, hexagons, octagons - in the literature very often considered separately - to polygons. Many alternative viewpoints given in the book heighten the sense of beauty of the subject and help to provide further insight into the matter.​
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Specificații

ISBN-13: 9783034802703
ISBN-10: 3034802706
Pagini: 518
Ilustrații: XV, 502 p.
Dimensiuni: 155 x 235 x 33 mm
Greutate: 0.72 kg
Ediția:1998
Editura: Springer
Colecția Birkhäuser
Seria Modern Birkhäuser Classics

Locul publicării:Basel, Switzerland

Public țintă

Research

Cuprins

Basic Concepts and Results.- Classical Polygons.- Coordinatization and Further Examples.- Homomorphisms and Automorphism Groups.- The Moufang Condition.- Characterizations.- Ovoids, Spreads and Self-Dual Polygons.- Projectivities and Projective Embeddings.- Topological Polygons.

Notă biografică

Hendrik Van Maldeghem is a Professor of Mathematics at the Ghent University.

Textul de pe ultima copertă

Generalized Polygons is the first book to cover, in a coherent manner, the theory of polygons from scratch. In particular, it fills elementary gaps in the literature and gives an up-to-date account of current research in this area, including most proofs, which are often unified and streamlined in comparison to the versions generally known.
Generalized Polygons will be welcomed both by the student seeking an introduction to the subject as well as the researcher who will value the work as a reference. In particular, it will be of great value for specialists working in the field of generalized polygons (which are, incidentally, the rank 2 Tits-buildings) or in fields directly related to Tits-buildings, incidence geometry and finite geometry.
The approach taken in the book is of geometric nature, but algebraic results are included and proven (in a geometric way!). A noteworthy feature is that the book unifies and generalizes notions, definitions and results that exist for quadrangles, hexagons, octagons - in the literature very often considered separately - to polygons. Many alternative in the book heighten the sense of beauty of the subject and help to provide further insight into the matter.
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It is a complete introduction to generalized polygons and it is a reliable and extensive source for references on generalized polygons. (…) the theory is developed from scratch (…) All basic properties are given with proofs and the classical examples are discussed in detail. (…) The author is a leading expert on generalized polygons (…) besides original, elegant, geometric proofs by the author the book features also previously unpublished results by other authors. As a real jewel, material on Moufang polygons presented by Jacques Tits in lectures and seminars at the Collège de France is worked into the book.
(Zentralblatt MATH)

Caracteristici

Provides a complete introduction to generalized polygons Develops the theory from scratch Provides geometric proofs of algebraic results Serves as an extensive source for references ? Includes supplementary material: sn.pub/extras