Paperback. The purpose of this book is to present the three basic ideas of geometrical probability, also known as integral geometry, in their natural framework. In this way, the relationship between the subject and enumerative combinatorics is more transparent, and the analogies can be more productively understood. The first of the three ideas is invariant measures on polyconvex sets. The authors then prove the fundamental lemma of integral geometry, namely the kinematic formula. Finally the analogues between invariant measures and finite partially ordered sets are investigated, yielding insights into Hecke algebras, Schubert varieties and the quantum world, as viewed by mathematicians. Geometers and combinatorialists will find this a most stimulating and fruitful story. The basic ideas of geometrical probability and the theory of shape are here presented in their natural framework. In this way, the relationship between the subject and enumerative combinatorics is more transparent, and the analogies can be more productively understood. Geometers and combinatorialists will find this a most stimulating and fruitful story. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Codice articolo 9780521596541

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Dati bibliografici

Titolo: Introduction to Geometric Probability (Paperback)
Editore: Cambridge University Press, Cambridge
Data di pubblicazione: 1997
Lingua: Inglese
ISBN 10: 0521596548
ISBN 13: 9780521596541
Rilegatura: Paperback
Condizione: new

Descrizione articolo

Riassunto

The basic ideas of the subject and the analogues with enumerative combinatorics are described and exploited.

Recensione

'Geometers and combinatorialists will find this a stimulating and fruitful tale.' Fachinformationszentrum Karlsruhe

' ... a brief and useful introduction ...' European Mathematical Society

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