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Book Synopsis
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.

Lectures On The Geometry Of Manifolds (Third

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    A Hardback by Liviu I Nicolaescu

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      View other formats and editions of Lectures On The Geometry Of Manifolds (Third by Liviu I Nicolaescu

      Publisher: World Scientific Publishing Co Pte Ltd
      Publication Date: 22/10/2020
      ISBN13: 9789811214813, 978-9811214813
      ISBN10: 9811214816

      Description

      Book Synopsis
      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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