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.
Product Details
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 En
Part III. Integral Gemeotry 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
Appendix. Differential Forms and Exterior Calculus
