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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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, Book Reviews
'... valuable complement to the large amount of existing literature on 'classical' convexity.' European Mathematical Society
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Paperback. Etat : 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 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. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780521639705
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Etat : New. This is a self-contained and thorough book on the foundations of Euclidean geometry. Series: Australian Mathematical Society Lecture Series. Num Pages: 240 pages, d. BIC Classification: PBM. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 14. Weight in Grams: 330. . 2008. paperback. . . . . N° de réf. du vendeur V9780521639705
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