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, De Rham 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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语言 英语 ● 格式 EPUB ● 网页 700 ● ISBN 9789811214837 ● 出版者 World Scientific Publishing Company ● 发布时间 2020 ● 下载 3 时 ● 货币 EUR ● ID 8152483 ● 复制保护 Adobe DRM
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