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Foundations of Convex Geometry

Foundations of Convex Geometry

Paperback

Series: Australian Mathematical Society Lecture, Book 12

General MathematicsGeometry

ISBN10: 0521639700
ISBN13: 9780521639705
Publisher: Cambridge University Press
Published: Mar 5 1998
Pages: 240
Weight: 0.79
Height: 0.55 Width: 6.00 Depth: 9.00
Language: English
This book presents the foundations of Euclidean geometry from the point of view of mathematics, taking advantage of all the developments since the appearance of Hilbert's classic work. Here, real affine space is characterized by a small number of axioms involving points and line segments making the treatment self-contained and thorough. This treatment is 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.

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Geometry