Familiarity with linear algebra is expected. In addition, students should have taken a proof-based course such as CS 212 or Math 300. Tensors, or multiindexed arrays, generalize matrices (two ...

Picture a suspension bridge. The river erodes the pillars, semi-trucks rumble across, blasts of gale-force wind whip between the cables. Through it all, the bridge must stand strong. If we can't see ...

Computers are extremely good with numbers, but they haven’t gotten many human mathematicians fired. Until recently, they could barely hold their own in high school-level math competitions. But now ...

Machine learning research is progressing at an ever-faster pace. We are likely still decades away from reaching the singularity, but AI has already become the buzzword that every tech company is ...

(1) A NEW edition of this really useful book is to be welcomed. The author has returned to Heaviside's notation of p for the operator, a distinct improvement. The chapter on Bessel functions has been ...