Differential and riemannian manifolds

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This is the third version of a book on differential manifolds. At the most basic level, the book gives an introduction to the basic concepts which are used in differential topology, differential geometry, and differential equations.



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 volume forms. I have rewritten the sections on sprays, and I have given more examples of the use of Stokes' theorem. I have also given many more references to the literature, all of this to broaden the perspective of the book, which I hope can be used among things for a general course leading into many directions. The present book still meets the old needs, but fulfills new ones. At the most basic level, the book gives an introduction to the basic concepts which are used in differential topology, differential geometry, and differential equations. In differential topology, one studies for instance homotopy classes of maps and the possibility of finding suitable differentiable maps in them (immersions, embeddings, isomorphisms, etc.).

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Taal: en

Bindwijze: Paperback

Oorspronkelijke releasedatum: 04 februari 2012

Aantal pagina's: 364

Illustraties: Nee

Hoofdauteur: Serge Lang

Hoofduitgeverij: Springer-Verlag New York Inc.

Editie: 3

Extra groot lettertype: Nee

Product breedte: 155 mm

Product hoogte: 23 mm

Product lengte: 235 mm

Studieboek: Nee

Verpakking breedte: 155 mm

Verpakking hoogte: 20 mm

Verpakking lengte: 235 mm

Verpakkingsgewicht: 581 g

EAN: 9781461286882

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