Here is the pdf file for a lecture course I gave at the University of Warwick in spring 2004 and, in updated form, in spring 2024.

The lectures have also been published by the London Mathematical Society as volume 325 of their lecture note series, in conjunction with Cambridge University Press.

The searchable, linked pdf file is available for free. The final edited book, with various small corrections, has ISBN: 0521689473.

A new version, with minor updates and corrections is coming at some point. I am not planning to make it longer!

DOWNLOAD PDF - version of March 2006.

P. M. Topping, Lectures on the Ricci flow. L.M.S. Lecture note series 325 C.U.P. (2006)