In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.

In this paper, we derive a class of approximations of the 𝑞-digamma function 𝜓𝑞(𝑥). The infinite family I a ( x;q )=log [ x+a ] q + q x logq 1− q x −( 1 2 −a )H( q−1 )logq, can be used as ...

The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...

Cover -- Title Page -- Copyright Page -- Table of Contents -- Acknowledgments -- 1 Introduction and Background -- 1.1 Introduction -- 1.2 What This Book Is Not About ...