Foundations of Convex Geometry
Foundations of Convex Geometry
£53.00
GBPThis 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.
- Excellent author
- Based on graduate courses
- No competition at this level
Reviews & endorsements
'Altogether a very interesting booklet which can be recommended already for final year undergraduates.' G. Kowol, Book Reviews
'… valuable complement to the large amount of existing literature on 'classical' convexity.' European Mathematical Society
Product details
March 1998Paperback
9780521639705
240 pages
228 × 151 × 15 mm
0.33kg
Available
Table of Contents
- 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.
