Years ago, James V. Schall wrote Another Sort of Learning, a book detailing those things you should read but probably were not ever made to read. It is not a curriculum, except maybe one “for life.” This book is something of a mathematical tribute to Schall’s basic idea and is aptly titled Another Sort of Mathematics. Like Schall’s book, this is also not a curriculum. It is, however, a list of “those things from mathematics you should have learned but probably didn’t.” The theorems and proofs in this book represent, in a small way, some of the best that has been said within the discipline of mathematics.
There is something unique in the human soul that can only be satisfied by wondering about mathematics. The audacious thing is that I actually believe this. And that means, regardless of your background, this book is for you. Reclaim your mathematical inheritance. Become the mathematician that is within you. Choose to wonder.