W. A. Coppel,
W. A. (Australian National University, Canberra) Coppel
Foundations of Convex Geometry
Paperback Engels 1998 9780521639705
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
This book on the foundations of Euclidean geometry aims to present the subject from the point of view of present day mathematics, taking advantage of all the developments since the appearance of Hilbert's classic work. Here real affine space is characterised by a small number of axioms involving points and line segments making the treatment self-contained and thorough, many results being established under weaker hypotheses than usual. The treatment should be totally accessible for final year undergraduates and graduate students, and can also serve as an introduction to other areas of mathematics such as matroids and antimatroids, combinatorial convexity, the theory of polytopes, projective geometry and functional analysis.
Specificaties
ISBN13:9780521639705
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:240
Uitgever:Cambridge University Press
Serie:Australian Mathemati
Lezersrecensies
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Inhoudsopgave
Preface; Introduction; 1. Alignments; 2. Convexity; 3. Linearity; 4. Linearity (continued); 5. Density and unendingness; 6. Desargues; 7. Vector spaces; 8. Completeness; 9. Spaces of convex sets; References; Notations; Axioms; Index.
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