ENGLISH

Lectures on the Geometry of Manifolds

By Liviu I. Nicolaescu

Book information

Publisher
World Scientific Publishing Company
Year
2020
ISBN
9811215952, 9789811215957
Language
english
Format
PDF
Filesize
8 MB (8631584 bytes)
Edition
3
Pages
701\701
Time added
2020-11-14 04:37:52

Description

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.

Similar books