My wife gave me this great book for Christmas:

  Love and Math: The Heart of Hidden Reality
  by Edward Frenkel

It begins with the author's struggle to learn the math behind quantum physics in spite of cold-war era soviet educational obstacles and leads bit by bit into the Langlands program, drawing connections between group theory, number theory and harmonic analysis.

It's definitely my favorite book of 2013.

http://www.amazon.com/Love-Math-Heart-Hidden-Reality/dp/0465...