Gerber Hans U.: An Introduction to Mathematical Risk Theory Huebner Foundation Monograph No. 8. Homewood, Ill.: Richard D. Irwin Inc., 1980, xv + 164, paperbound, $ 15.95

At the beginning of the 1970s, three new textbooks on risk theory appeared—Beard, Pentikainen, and Pesonen's introductory Risk Theory, Biihlmann's more theoretical Mathematical Methods in Risk Theory, and Seal's compendium, Stochastic Theory of a Risk Business. Although completely different in style and orientation, these texts were welcomed by the acturial community because they provided the first summaries of useful new risk models and results developed since the war—a period which coincided with the formation of ASTIN, for example. More importantly, perhaps, the fact that these texts were written in a modern mathematical style made these results accessible to statisticians, economists, engineers, and others outside actuarial circles, and served to further stimulate research activity and to broaden the scope of risk theory.