The third volume of the Springer handbook (for the other volumes see [Zbl 1276.00001; Zbl 1276.00002; Zbl 1276.00004]) is devoted to applications of mathematics. Chapter 5 discusses the calculus of variations and physics, Chapter 6 probability and stochastics. Chapter 7 covers numerical methods and algorithms in linear algebra, calculus and differential equations. These are followed by the newly written Chapter 8 on mathematics in economy and financial mathematics (including life insurance mathematics, the Black-Scholes model, game theory etc.) and Chapter 9 on computer science and algorithms, which discusses topics such as Turing machines, complexity classes, fuzzy methods etc.

Reviewer:

Franz Lemmermeyer (Jagstzell)