Mathematics Rebooted: A Fresh Approach to Understanding was published by Oxford University Press in October 2017. This book demonstrates how mathematical ideas fit together, and explains what mathematicians care about and how they think. It begins with a discussion on how to read mathematics effectively. Each main chapter starts with a basic idea from school mathematics, then takes a tour upward through related mathematical ideas and arguments. The conclusion reviews some big ideas, then briefly discusses supporting teachers, mathematical applications, and what mathematicians do. I have aimed for an accessible and entertaining writing style, and I hope that this book will help many readers to build up their confidence and enjoy mathematical thinking.