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Foundations of Convex Geometry: 12 (Australian Mathematical Society Lecture Series, Series Number 12) - Softcover

 
9780521639705: Foundations of Convex Geometry: 12 (Australian Mathematical Society Lecture Series, Series Number 12)

Synopsis

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.

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Review

'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

Book Description

This book on the foundations of Euclidean geometry aims to present the subject from the point of view of present day mathematics. The treatment is self-contained and thorough.

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Published by Cambridge University Press, 1998
ISBN 10: 0521639700 ISBN 13: 9780521639705
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Paperback. Condition: new. Paperback. 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. 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521639705

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Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book on the foundations of Euclidean geometry aims to present the subject from the point of view of present day mathematics. The treatment is self-contained and thorough.InhaltsverzeichnisPreface Introduction 1. Alignments 2. Seller Inventory # 446943329

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This is a self-contained and thorough book on the foundations of Euclidean geometry. Seller Inventory # 9780521639705

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