Lectures on the geometry of manifolds

By: Nicolaescu, Liviu IMaterial type: TextTextPublication details: New Jersey: World Scientific Publishing Co., [c2023]Edition: 3rd EdDescription: 682 pISBN: 9780000990334LOC classification: QA649 .N53Online resources: Table of Contents Summary: 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.
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Mathematics Rack No 7 QA649 .N53 (Browse shelf (Opens below)) Available 02767
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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.

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