An Introduction To Differentiable Manifolds And Riemannian Geometry
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This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie
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Differential geometry began as the study of curves and surfaces using the methods of calculus. This book offers a graduate-level introduction to the tools and s
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This is the third version of a book on differential manifolds. The first version appeared in 1962, and was written at the very beginning of a period of great ex
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This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical