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Lectures on the geometry of manifolds

By: Nicolaescu, Liviu I.
Publisher: New Jersey World Scientific Publishing, 2021Edition: 3rd ed.Description: xviii, 682 p. ; ill., 24 cm.ISBN: 9780000990334.Subject(s): Mathematics | Riemannian geometry | CohomologyDDC classification: 516.362 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. The new edition contains a new chapter on spectral geometry presenting recent results which appear here for the first time in printed form
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Books 516.362 NIC (Browse shelf) Available 033713

Includes bibliographical references and index.

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

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