Of making many books...

There Is No End

Hawking's Brief history of time attempted to give a short overview of fundamental physics without any mathematics. Penrose provides us with a very long overview with all the mathemetics. The first third of this book is a survey of the mathematics required for the rest of the book. It is largely concerned with analysis (calculus) rather than algebra — the only algebra that he really covers is symmetry groups, with a brief introduction to knots later in the book — with a focus on complex analysis. more...