on February 8, 2012
I am partial to the Donaldson-style of mathematics and I very excitedly ordered a copy when I heard of it publication. This is an old subject, many treatises have been written about it, so what more can one expect from yet another monograph? I would say, that this book offers you Donaldson's perspective on the subject, always superbly clear and efficient, informed by the author's own extensive experience, and revealing the depths of the subject with an ease that would make Fred Astaire jealous. It has a geometric bias and it brings you from zero to where modern research begins. This is a good place to start if you want to learn about this subject that branches out into many other areas of mathematics and theoretical physics.