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This textbook provides a broad overview of the present state of insurance mathematics and some related topics in risk management, financial mathematics and probability. Both the non-life and the life part are covered. The emphasis is on probability and modeling rather than statistics and practical implementation. The level is graduate, pointing in part to current research topics. Based on chapters selected according to the particular topics in mind, the book serves as source for introductory courses to insurance mathematics for non-specialists, advanced courses for actuarial students, and courses on probabilistic aspects of risk. It is also useful for practitioners and students/researchers in related areas such as finance and statistics to get an overview of the general area of mathematical modeling and analysis in insurance.
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