This edited volume addresses the importance of mathematics for industry and society by presenting highlights from contract research at the Department of Applied Mathematics at SINTEF, the largest independent research organization in Scandinavia.Examples range from computer-aided geometric design, via general purpose computing on graphics cards, to reservoir simulation for enhanced oil recovery. The book also discusses local wind predictions to increase aviation safety, sustainable long-term forest treatment, and optimization of natural gas value chains. The contributions are written in a tutorial style to provide material for educational purposes, such as a course or seminar on industrially relevant mathematics.