Discover Maths 1: Induction

Induction is a basic maths technique taught to all children specialising in maths, but this book goes well beyond the usual treatment to show in detail how induction can be used at the frontiers of research to prove major results. The book is the first in a new series covering undergraduate maths. It is aimed at the more able student who is ambitious and willing to make a serious effort to solve hard problems. It is also suitable for olympiad enthusiasts who want to get started on university and graduate school material. Hints and full solutions are provided for all the problems.