A 1988 classic, covering Two-dimensional Surfaces; Domains on the Plane and on Surfaces; Brunn-Minkowski Inequality and Classical Isoperimetric Inequality; Isoperimetric Inequalities for Various Definitions of Area; and Inequalities Involving Mean Curvature.

1. Two-Dimensional Surfaces.- 2. The Brunn-Minkowski Inequality and the Classical Isoperimetric Inequality.- 3. Isoperimetric Inequalities for Various Definitions of Area.- 4. Mixed Volumes.- 5. Immersions in ?n.- 6. Riemannian Manifolds.- Author Index.