MAT We will try to cover as much of this book as possible. Here are some other references : 1. Kumaresan, S. Warner, F. John Lee, Introduction to smooth manifolds.
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MAT We will try to cover as much of this book as possible. Here are some other references : 1. Kumaresan, S. Warner, F. John Lee, Introduction to smooth manifolds. Milnor, Topology from a differentiable viewpoint. Frankel, Geometry and physics.
Hawking and Ellis, The large scale structure of spacetime. Loring Tu, An introduction to manifolds. Instructor : Vamsi Pritham Pingali, vamsipingali math. Office : N23 in the mathematics building. Office hours : Wed from pm. Feel free to come during other times after emailing me first. Under NO circumstances will makeup exams be held for the midterm. If you have a valid and provable excuse, Schedule conflicts with other courses do NOT constitute as valid excuses.
You are supposed to resolve them before registering for the courses. Exams : The Midterm shall be held on September 22 Friday from in the class. The final for this course will be held on December 7 Thursday from in our usual classroom. Syllabus : Everything we did except Riemannian geometry. Ethics: Read the information on the IISc student ethics page.
In short, cheating is a silly thing. As for homeworks, write them up on your own. You are allowed to discuss them amongst yourselves but please write the solutions on your own. That said I must hasten to add that you learn mathematics best when you solve the problems entirely by yourself.
Here is the tentative schedule. It is subject to changes and hence visiting this webpage regularly is one of the best ideas in the history of best ideas.
Foundations of Differentiable Manifolds and Lie Groups
Graduate Texts in Mathematics: Foundations of Differentiable Manifolds and Lie Groups (Hardcover)