Item type | Current location | Call number | Status | Date due | Barcode |
---|---|---|---|---|---|
Books | 516.362 NIC (Browse shelf) | Available | 033713 |
516.362 KRA Convex analysis | 516.362 MON Curves and surfaces | 516.362 MOR Ricci flow and the poincare conjecture | 516.362 NIC Lectures on the geometry of manifolds | 516.362 SAG Space-filling curves | 516.362 STE Curvature in mathematics and physics | 516.3629 KUM Course in differential geometry and Lie groups |
Includes bibliographical references and index.
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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