The Road to Reality, Roger Penrose, Knopf publisher 2004

 

www.roadsolutions.ox.ac.uk

 

This book is for advanced students in physics or mathematics. What I found was the clear way he presented  complex mathematics and physics. He gave the feel of the uniqueness and excitement of the ideas. When presenting an idea, he gave clear pictures to help understand the idea. He also gave counterexamples, so that we could better understand what the idea is not. It is useful for you to read this to help you better learn how to teach complex and difficult ideas.