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 our Sydney, NSW warehouse or from our UK or US warehouse, 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

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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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