In 1978, Osserman  wrote an extensive survey on the isoperimetric inequality. The Brunn-Minkowski inequality can be proved in a page, yet quickly yields the classical isoperimetric inequality for important classes of subsets of Rn, and deserves to be better known. This guide explains the relationship between the Brunn-Minkowski inequality and other inequalities in geometry and analysis, and some applications.
Bulletin of the American Mathematical Society
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First published in The Bulletin of the American Mathematical Society in Volume 39, Number 3, published by the American Mathematical Society.
Gardner, Richard J., "The Brunn-Minkowski Inequality" (2002). Mathematics. 21.