Download or read book Lectures on Advanced Mathematical Methods for Physicists written by Sunil Mukhi and published by World Scientific. This book was released on 2010 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part I provides a simple introduction to basic topology, followed by a survey of homotopy. Calculus of differentiable manifolds is then developed, and a Riemannian metric is introduced along with the key concepts of connections and curvature. The final chapters lay out the basic notions of simplicial homology and de Rham cohomology as well as fibre bundles, particularly tangent and cotangent bundles. --