These are the lectures notes from my cours Peccot at the Coll`ege de France, given in March-April 2014. They are in french for the moment, some english translation should be available soon(er or late . . . . .
We introduce spinors, at a level appropriate for an undergraduate or first year graduate course on relativity, astrophysics or particle physics. The treatment assumes very little mathematical knowledg . . . . .
Number theory as a coherent mathematical subject started with the work of Fermat in the decade from 1630 to 1640, but modern number theory, that is, the systematic and mathematically rigorous developm . . . . .
These notes are an expanded version of the author's lectures at the graduate workshop "Noncommutative Algebraic Geometry" at the Mathematical Sciences Research Institute in June 2012. The main topics . . . . .
This book is designed as an introduction to the ideas and methods used to
formulate mathematical models of physical processes in terms of random
functions. The rst ve chapters use the historical d . . . . .