"This book brings together 38 case studies from across the spectrum of the mathematical sciences showing how recent work has had an impact outside academia. The short articles (between five and eight pages each) are arranged by application area - climate, environment, engineering, aerospace, military and security, technology, health, business and finance - and there is something here for everyone. ... this is an important book." (Paul Glendinning, Mathematics Today, Vol. 52 (3), June, 2016)