The book provides a comprehensive overview of modern non-life actuarial science. It begins with a verbal description of the main actuarial problems to be solved in non-life practice, without using mathematical formulae. The extensive second chapter covers all the mathematical tools needed to solve these problems, now in mathematical notation. The remainder of the book is dedicated to the exact formulation of various problems and their possible solutions. Offering a good mix of practical problems and their actuarial solutions, the book primarily targets two types of readers: students (of mathematics, probability and statistics, informatics, economics) with some mathematical knowledge, and insurance practitioners who may have a distant memory of mathematics. Prerequisites include basic calculus and probability theory.