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OverviewDiagram geometry provides a range of techniques that enable an interaction between group theory and geometry. These techniques allow the mathematician to get information on a multi-dimensional geometric object from some knowledge of its bi-dimensional properties. This book introduces these techniques and provides a survey of the development of the subject of diagram geometry.The first three chapters are descriptive; a number of examples are presented, basic concepts are explained, and the reader is introduced to the language of diagram geometries.The theory is developed in the next three chapters and in chapter 7 a number of characterizations are proved. This is continued in later chapters following a survey of more advanced concepts and techniques. Full Product DetailsAuthor: Antonio Pasini (Professor, Department of Mathematics, Professor, Department of Mathematics, University of Siena, Italy)Publisher: Oxford University Press Imprint: Clarendon Press Dimensions: Width: 16.20cm , Height: 3.20cm , Length: 24.10cm Weight: 0.933kg ISBN: 9780198534976ISBN 10: 0198534973 Pages: 496 Publication Date: 22 September 1994 Audience: College/higher education , Tertiary & Higher Education Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of Contents0. Prerequisties; 1. Basic Concepts and Examples; 2. More Examples; 3. Diagrams and Orders; 4. Diagram Graphs; 5. Grassmann Geometries; 6. Intersection Properties; 7. Recovering eometries from Diagrams; 8. Morphisms and Quotients; 9. Automorphisms; 10. Parabolic Systems; 11. Amalgams; 12. Universal Covers; 13. Coxeter Diagrams; 14. Cn and F4; 15. L Cn-1 and more diagrams, Bibilography, IndexReviews`This is a book many people were waiting for. ... It is a very well-written introduction to the abstract theory of diagram geometries ... recommended to students who like to work with diagram geometries.' Germot Stroth, Mathematical Reviews, Issue 96f. `a carefully written, detailed yet concise exposition' Monatshefte fur Mathematik Vol. 124 This is a book many people were waiting for. . . .contains a wealth of information. . . .recommended to students who like to work with diagram geometries. --Mathematical Reviews<br> `This is a book many people were waiting for. ... It is a very well-written introduction to the abstract theory of diagram geometries ... recommended to students who like to work with diagram geometries.' Germot Stroth, Mathematical Reviews, Issue 96f. `a carefully written, detailed yet concise exposition' Monatshefte fur Mathematik Vol. 124 Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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