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## Cambridge Mathematical Library: Integral Geometry and Geometric Probability, Second Edition (Softcover)This book "can be used to complement courses on differential geometry, Lie groups or probability, differential geometry. It is ideal both as a reference work and as a text for those withing to enter the field." — From the back cover ## $24.79 |

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Please contact us if you've got questions about this product.## Condition

**VERY GOOD:** The book is in very good condition, showing only slight signs of use and wear (namely, a slight bend in the front upper corner). The pages are clean and the spine is intact.

## Description

From the back cover: “Now available in the Cambridge Mathematical Library, this classic work from Louis Santaló, *Integral Geometry* originated with problems on geometrical probability and convex bodies. Its later developments, however, have proved useful in several fields ranging from pure mathematics (measure theory, continuous groups) to technical and applied disciplines (pattern recognition, stereology). The book is a systematic exposition of the theory and a compilation of the main results in the field.”

**BRIEF CONTENTS**

- Editor’s Statement
- Foreword
- Preface
- 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 Homogeneous Spaces
- 11. The Affine Groups
- 12. The Group of Motions in
*E*_{n} - Part III. Integral Gemeotry in
*E*_{n} - 13. Convex Sets in
*E*_{n} - 14. Linear Subspaces, Convex Sets, and Compact Manifolds
- 15. The Kinematic Density in
*E*_{n} - 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
- Appendix. Differential Forms and Exterior Calculus
- Bibliography and References
- Author Index
- Subject Index

## Details

- SKU:
- 1960
- Author:
- Santaló, Luis
- Publisher:
- Cambridge University Press
- Publish Date:
- 2004, Second Edition
- Format:
- Softcover
- Weight (pounds):
- 1.3
- Dimensions (W”xL”xH”):
- 6″x8.95″x0.8″
- ISBN-13:
- 9780521523448
- ISBN-10:
- 0521523443

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