Lectures On The Geometry Of Manifolds (Third Edition)
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A01=Liviu I Nicolaescu
Author_Liviu I Nicolaescu
Calculus on Manifolds
Category=PBM
Characteristic Classes
Crofton Formula
Curvature
Derham Cohomology
Dirac Operators
Elliptic Partial Differential Equations
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Manifolds
Spectral Geometry
Tube Formula
Vector Bundles and Connections
Product details
- ISBN 9789811214813
- Publication Date: 22 Oct 2020
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
