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Lectures on the geometry of manifolds

By: Nicolaescu, Liviu IMaterial type: Text

TextPublication 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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Item type	Current library	Collection	Shelving location	Call number	Status	Date due	Barcode	Item holds
Book	ICTS	Mathematics	Rack No 7	QA649 .N53 (Browse shelf (Opens below))	Available		02767

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Previous	QA649 Lectures on the geometry of manifolds : 2 ed.	QA 649 An introduction to the analysis of paths on a Riemannian manifold	QA649.M Gauge field theory and complex geometry : 2 ed.	QA649 .N53 Lectures on the geometry of manifolds	QA665 Symplectic topology and Floer homology: Vol. 1	QA665 Lagrangian intersection Floer theory : : anomaly and obstruction : Pt. 2. .	QA665 Lagrangian intersection Floer theory : : anomaly and obstruction : Pt. 2. .	Next

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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