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eBook Details:
Full title: Lectures On The Geometry Of Manifolds
3rd Edition
Edition: 3rd
Copyright year: 2021
Publisher: World Scientific
Author: Liviu I Nicolaescu
ISBN: 9789811214813, 9789811214837
Format: PDF
Description of Lectures On The Geometry Of Manifolds
3rd Edition:
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.
