Integral Geometry and Geometric Probability - Brossura

Santaló, Luis

Brossura

ISBN 10: 0521523443 ISBN 13: 9780521523448

Casa editrice: Cambridge University Press, 2009

Riassunto

Classic text on integral geometry now available in paperback in the Cambridge Mathematical Library.

Su questo libro

Descrizione del libro

Now available in the Cambridge Mathematical Library, this classic text is a systematic exposition of the theory and a compilation of its important results. Can be used to complement courses on differential geometry, Lie groups, probability or differential geometry. An ideal text and reference and for those entering the field.

Contenuti

Part I. Integral Geometry in the Plane: 1. Convex sets in the plane; 2. Sets of points and Poisson processes in the plane; 3. Sets of lines in the plane; 4. Pairs of points and pairs of lines; 5. Sets of strips in the plane; 6. The group of motions in the plane: kinematic density; 7. Fundamental formulas of Poincaré and Blaschke; 8. Lattices of figures; Part II. General Integral Geometry: 9. Differential forms and Lie groups; 10. Density and measure in homogenous spaces; 11. The affine groups; 12. The group of motions in En; Part III. Integral Geometry in En: 13. Convex sets in En; 14. Linear subspaces, convex sets and compact manifolds; 15. The kinematic density in En; 16. Geometric and statistical applications: stereology; Part IV. Integral Geometry in Spaces of Constant Curvature: 17. Noneuclidean integral geometry; 18. Crofton's formulas and the kinematic fundamental formula in noneuclidean spaces; 19. Integral geometry and foliated spaces: trends in integral geometry.

Dettagli dell'edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 0521523443
• ISBN 13: 9780521523448
• Rilegatura: Copertina flessibile
• Numero edizione: 2
• Numero di pagine: 428
• Contatto del produttore: non disponibile
• Persona responsabile: gpsr@libri.de; gpsr@libri.de; ; Friedensallee 273; Hamburg; 22763; Germania