Another Sort of Mathematics: Selected Proofs Necessary to Finally Acquire an Education in Mathematics

Years ago, James V. Schall wrote Another Sort of Learning, a book listing those things you should read but probably were never required to read. It is not a curriculum, except maybe one "for life." This book you have in your hands is something of a mathematical tribute to Schall's basic idea and is aptly titled Another Sort of Mathematics. Like Schall's book, it is not a curriculum. It is, however, a list of some things from mathematics you should experience but probably were never required to experience. 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. And that means, regardless of your background, this book is for you. Reclaim your mathematical inheritance. Embrace the mathematician within you. Choose to wonder.

J. Jacob ("Jake") Tawney has been enamored by mathematics for as long as he can remember, from kindergarten to calculus. But he truly fell in love with it during his sophomore year at Denison University during a course on mathematical proofs. After completing an undergraduate degree in mathematics and computer science from Denison, he continued his studies at The Ohio State University. There he earned a master's degree in mathematics, submitting a thesis on the mathematics of juggling. During his time in Ohio, Tawney taught at Upper Arlington High School and the Pontifical College Josephinum, including courses in Euclid and the philosophy of mathematics. In 2014 he relocated his family to Phoenix, Arizona, to join Great Hearts Academies, where he currently serves as the chief academic officer.

Jake is the proud husband of Christina and the proud father of eight children, all of whom have something unique in their souls that can only be satisfied by wondering about mathematics.