Here is the first modern introduction to geometric probability, also known as integral geometry, presented at an elementary level, requiring little more than first-year graduate mathematics. Klein and Rota present the theory of intrinsic volumes due to Hadwiger, McMullen, Santalo and others, along with a complete and elementary proof of Hadwiger's characterization theorem of invariant measures in Euclidean n-space. They develop the theory of the Euler characteristic from an integral-geometric point of view. The authors then prove the fundamental theorem of integral geometry, namely, the...
Here is the first modern introduction to geometric probability, also known as integral geometry, presented at an elementary level, requiring little mo...
Gian-Carlo Rota was born in Vigevano, Italy, in 1932. He died in Cambridge, Mas- sachusetts, in 1999. He had several careers, most notably as a mathematician, but also as a philosopher and a consultant to the United States government. His mathe- matical career was equally varied. His early mathematical studies were at Princeton (1950 to 1953) and Yale (1953 to 1956). In 1956, he completed his doctoral thesis under the direction of Jacob T. Schwartz. This thesis was published as the pa- per "Extension theory of differential operators I," the first paper reprinted in this volume. Rota's early...
Gian-Carlo Rota was born in Vigevano, Italy, in 1932. He died in Cambridge, Mas- sachusetts, in 1999. He had several careers, most notably as a mathem...
