Differential and Riemannian Manifolds.

Graduate Texts in Mathematics -- Differential and Riemannian Manifolds -- Copyright -- Preface -- Contents -- CHAPTER I Differential Calculus -- CHAPTER II Manifolds -- CHAPTER III Vector Bundles -- CHAPTER IV Vector Fields and Differential Equations -- CHAPTER V Operations on Vector Fields and Differential Forms -- CHAPTER VI The Theorem of Frobenius -- CHAPTER VII Metrics -- CHAPTER VIII Covariant Derivatives and Geodesics -- CHAPTER IX Curvature -- CHAPTER X Volume Forms -- CHAPTER XI Integration of Differential Forms -- CHAPTER XII Stokes' Theorem -- CHAPTER XIII Applications of Stokes' Theorem -- APPENDIX The Spectral Theorem -- Bibliography -- Index.

This book covers basic concepts in differential topology, differential geometry and differential equations. The latest, expanded edition offers three new chapters on Riemannian and pseudo-Riemannian geometry, and revised sections on sprays and Stokes' theorem.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.