Paul Erdos, one of the most prolific mathematicians of all time accused God whom he called the “Supreme Fascist” of hiding the most elegant proofs for himself in The Book. When he saw a beautiful mathematical proof, he would exclaim “This one’s from The Book.” This inspired me to give this blog the title “Proofs From the Book*.”
Proofs From The Book will celebrate the beauty and elegance of mathematical theorems discussed in school mathematics and their proofs. I made this blog for middle school and high school mathematics students who want to study beyond the formulas. I will explain the theorems and their proofs as clear and as layman as possible — well, hopefully. I will be starting with the most simple and easiest theorems and their proofs but the complexity will increase as we go on. I will discuss proof strategies such as direct and indirect proofs. In addition, I might also discuss proofs in undergraduate mathematics, but only proofs that are accessible to advanced high school mathematics students.
The topics that I will discuss in this blog will include algebra, geometry, trigonometry, number theory, set theory, and elementary calculus.
*Note: Shortly after I chose the name of this blog, I discovered a published book of the same title also exists.