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Lectures on the geometry of manifolds [electronic resource] / by Liviu I. Nicolaescu.

By: Material type: TextTextPublication details: Singapore : World Scientific, 2020.Edition: 3rd. edDescription: 1 online resource (xviii, 682 p.)ISBN:
  • 9789811214820
Subject(s): DDC classification:
  • 516.362 23 NIC
LOC classification:
  • QA649 .N53 2020
Online resources:
Contents:
Manifolds -- Natural constructions on manifolds -- Calculus on manifolds -- Riemannian geometry -- Elements of the calculus of variations -- The fundamental group and covering spaces -- Cohomology -- Characteristic classes -- Classical integral geometry -- Elliptic equations on manifolds -- Spectral geometry -- Dirac operators.
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"--Publisher's website.
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Holdings
Item type Current library Collection Call number Status Date due Barcode
Project book Project book CUTN Central Library Non-fiction 516.362 NIC (Browse shelf(Opens below)) Checked out to Renuka Devi V (20019T) 31/01/2024 48842

Includes bibliographical references and index.

Manifolds -- Natural constructions on manifolds -- Calculus on manifolds -- Riemannian geometry -- Elements of the calculus of variations -- The fundamental group and covering spaces -- Cohomology -- Characteristic classes -- Classical integral geometry -- Elliptic equations on manifolds -- Spectral geometry -- Dirac operators.

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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"--Publisher's website.

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

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