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Serge Lang - Differential and Riemannian Manifolds - 9781461286882 - V9781461286882
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Differential and Riemannian Manifolds

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Description for Differential and Riemannian Manifolds paperback. 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. Series: Graduate Texts in Mathematics. Num Pages: 378 pages, biography. BIC Classification: PBK; PBPD. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 20. Weight in Grams: 580.
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 expansion of the subject. At the time, I found no satisfactory book for the foundations of the subject, for multiple reasons. I expanded the book in 1971, and I expand it still further today. Specifically, I have added three chapters on Riemannian and pseudo Riemannian geometry, that is, covariant derivatives, curvature, and some applications up to the Hopf-Rinow and Hadamard-Cartan theorems, as well as some calculus of variations and applications to ... Read more

Product Details

Format
Paperback
Publication date
2012
Publisher
Springer United States
Number of pages
378
Condition
New
Series
Graduate Texts in Mathematics
Number of Pages
364
Place of Publication
New York, NY, United States
ISBN
9781461286882
SKU
V9781461286882
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15

Reviews for Differential and Riemannian Manifolds
S. Lang Differential and Riemannian Manifolds "An introduction to differential geometry, starting from recalling differential calculus and going through all the basic topics such as manifolds, vector bundles, vector fields, the theorem of Frobenius, Riemannian metrics and curvature. Useful to the researcher wishing to learn about infinite-dimensional geometry." —MATHEMATICAL REVIEWS

Goodreads reviews for Differential and Riemannian Manifolds


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