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Differential and Riemannian Manifolds Book

Differential and Riemannian Manifolds
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Differential and Riemannian Manifolds, This text provides an introduction to basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas: for instance, the existence, uniqueness, and smoothness theorems for , Differential and Riemannian Manifolds
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  • Differential and Riemannian Manifolds
  • Written by author Serge Lang
  • Published by Springer-Verlag New York, LLC, 7/31/2012
  • This text provides an introduction to basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas: for instance, the existence, uniqueness, and smoothness theorems for
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Book Categories

Authors

Preface
Ch. I Differential Calculus 1
Ch. II Manifolds 20
Ch. III Vector Bundles 40
Ch. IV Vector Fields and Differential Equations 64
Ch. V Operations on Vector Fields and Differential Forms 114
Ch. VI The Theorem of Frobenius 153
Ch. VII Metrics 169
Ch. VIII Covariant Derivatives and Geodesics 191
Ch. IX Curvature 225
Ch. X Volume Forms 261
Ch. XI Integration of Differential Forms 284
Ch. XII Stokes' Theorem 307
Ch. XIII Applications of Stokes' Theorem 321
Appendix: The Spectral Theorem 343
Bibliography 355
Index 361


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Differential and Riemannian Manifolds, This text provides an introduction to basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas: for instance, the existence, uniqueness, and smoothness theorems for , Differential and Riemannian Manifolds

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Differential and Riemannian Manifolds, This text provides an introduction to basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas: for instance, the existence, uniqueness, and smoothness theorems for , Differential and Riemannian Manifolds

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Differential and Riemannian Manifolds, This text provides an introduction to basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas: for instance, the existence, uniqueness, and smoothness theorems for , Differential and Riemannian Manifolds

Differential and Riemannian Manifolds

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