Dover Series

Kevin

a Michel Goemans course, as always the lecture notes are somehow incredibly intuitive

Here is a map of mathematics as it stands today, mathematics as it is practiced by mathematicians.

Companion webpage to the book "Mathematics for Machine Learning". Copyright 2019 by Marc Peter Deisenroth, A Aldo Faisal, and Cheng Soon Ong. To be published by Cambridge University Press. Please link to this site using https://mml-book.com. via Pocket

A great illustration of this “Let a hundred proofs bloom” point of view is provided by an article by Stan Wagon called “Fourteen Proofs of a Result About Tiling a Rectangle”. Here’s the result his title refers to (a puzzle posed and solved by Nicolaas de Bruijn): Whenever a rectangle can be cut up into smaller rectangles each of which has at least one integer side, then the big rectangle has at least one integer side too. (Here “at least one integer side” is tantamount to “at least two integer sides”, since the opposite sides of a rectangle always have the same length.)

Here is a map of mathematics as it stands today, mathematics as it is practiced by mathematicians.