Lectures On The Geometry Of Manifolds (Third Edition)
Author | : Liviu I Nicolaescu |
Publisher | : World Scientific |
Total Pages | : 701 |
Release | : 2020-10-08 |
ISBN-10 | : 9789811214837 |
ISBN-13 | : 9811214832 |
Rating | : 4/5 (37 Downloads) |
Download or read book Lectures On The Geometry Of Manifolds (Third Edition) written by Liviu I Nicolaescu and published by World Scientific. This book was released on 2020-10-08 with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to introduce the reader to some of the main techniques, ideas and concepts frequently used in modern geometry. It starts from scratch and it covers basic topics such as differential and integral calculus on manifolds, connections on vector bundles and their curvatures, basic Riemannian geometry, calculus of variations, DeRham cohomology, integral geometry (tube and Crofton formulas), characteristic classes, elliptic equations on manifolds and Dirac operators. The new edition contains a new chapter on spectral geometry presenting recent results which appear here for the first time in printed form.