Isaac is a Department for Education project at the University of Cambridge that develops understanding and confidence through problem solving in the physical sciences, by combining accessible and concise print resources with a state of the art online study tool. This book is a co-publication between Periphyseos Press/Isaac and Cambridge University Press. ESSENTIAL PRE-UNIVERSITY MATHEMATICS FOR SCIENCES helps you master mathematics for final-year school courses and entry-level university and the maths needed for physics, chemistry and other sciences. Chapters 1–6 cover essential techniques in mathematics for sciences, offering both core practice and more advanced problems. Chapter 7 covers mathematical approaches to scientific problems, including population, money, nuclear chain reactions and random walks in gases and galaxies—each illustrating the power of mathematics. All problems can be answered on the Isaac online platform. Registration is free and gives both students and teachers personalised support through a sophisticated online marking system for all problems.