Vaughn Climenhaga

Graduate Assistant
The Pennsylvania State University

Department of Mathematics

In Fall 2007 I had the great privilege to be a TA for a MASS course taught by Anatole Katok under the rather ambitious title "Surfaces: (almost) everything you wanted to know about them."  From that experience was born a set of course notes, which after some extensive polishing and reworking is being published in book form by the American Mathematical Society.  The initial draft is still posted on the course website, with all its errors, omissions, and countless rough spots which were smoothed out for the book itself (along with all those which weren't).

Prof. Katok has a website with more information about the book, including excerpts.  Once it is published, the book will be available through the AMS, and of course through places like Amazon.

Proving that the area of a spherical triangle is proportional to its angular excess