Lectures On The Geometry Of Manifolds / Liviu I Nicolaescu.

By:

Nicolaescu, Liviu I

Material type: Text

TextLanguage: English Publication details: Chennai : World Scientific, 2021.Edition: 3rd edDescription: xviii, 682 p. : ill. ; 23 cmISBN:

9780000990334
0000990337

Uniform titles:

Lectures On The Geometry Of Manifolds

Subject(s):

DDC classification:

23 516.362 NIC

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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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode
Text Books	CUTN Central Library Sciences	Non-fiction	516.362 NIC (Browse shelf(Opens below))	Available		48035

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Previous	516.36 LOV Differential Geometry of Manifolds /	516.36 TOT Finite Möbius groups, minimal immersions of spheres, and moduli /	516.36 UME Differential geometry of curves and surfaces with singularities /	516.362 NIC Lectures On The Geometry Of Manifolds /	517 CHA Basic Calculus	517.35 PAL Fourier transforms in the complex domain : Vol. 19 /	517.355 TOL Fourier series /	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. 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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