Nicolaescu, Liviu I.
Lectures on the geometry of manifolds - 3rd Ed. - New Jersey: World Scientific Publishing Co., [c2023] - 682 p.
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.
9780000990334
QA649 .N53
Lectures on the geometry of manifolds - 3rd Ed. - New Jersey: World Scientific Publishing Co., [c2023] - 682 p.
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.
9780000990334
QA649 .N53