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Foundations of Convex Geometry : Australian Mathematical Society Lecture Series - W.A. Coppel

Foundations of Convex Geometry

Australian Mathematical Society Lecture Series

Paperback

Published: 4th May 1998
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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.

'Altogether a very interesting booklet which can be recommended already for final year undergraduates.' G. Kowol, Wien, Book Reviews '... valuable complement to the large amount of existing literature on 'classical' convexity.' European Mathematical Society

Preface
Introductionp. 1
Alignmentsp. 3
Convexityp. 27
Linearityp. 49
Linearity (continued)p. 71
Density and Unendingnessp. 85
Desarguesp. 115
Vector Spacesp. 137
Completenessp. 157
Spaces of Convex Setsp. 185
Referencesp. 211
Notationsp. 216
Axiomsp. 217
Indexp. 218
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780521639705
ISBN-10: 0521639700
Series: Australian Mathematical Society Lecture Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 240
Published: 4th May 1998
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.4
Weight (kg): 0.36