A Mathematician Comes of Age discusses the maturation process for a mathematics student. It describes and analyzes how a student develops from a neophyte who can manipulate simple arithmetic problems to a sophisticated thinker who can understand abstract concepts, can think rigorously, and can analyze and manipulate proofs. Most importantly, mature mathematics students can create proofs and know when the proofs that they have created are correct. Mathematics is distinct from other disciplines in the nature of its intellectual development. The book lays out these differences and discusses their significance.
A Mathematician Comes of Age