Differential and Riemannian Manifolds (Graduate Texts in Mathematics)

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9780387943381: Differential and Riemannian Manifolds (Graduate Texts in Mathematics)
Review:

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

From the Publisher:

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.).

"Sobre este título" puede pertenecer a otra edición de este libro.

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Lang, Serge
Editorial: Springer (1996)
ISBN 10: 0387943382 ISBN 13: 9780387943381
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Descripción Springer, 1996. Estado de conservación: New. This item is printed on demand for shipment within 3 working days. Nº de ref. de la librería LP9780387943381

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Descripción Springer, 2016. Paperback. Estado de conservación: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Nº de ref. de la librería ria9780387943381_lsuk

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Lang, Serge
Editorial: Springer-Verlag New York Inc., United States (1996)
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Descripción Springer-Verlag New York Inc., United States, 1996. Hardback. Estado de conservación: New. 3rd ed. 1995. Corr. 2nd printing 1996. 236 x 157 mm. Language: English . Brand New Book. 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.). Nº de ref. de la librería AAW9780387943381

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Lang, Serge
Editorial: Springer-Verlag New York Inc., United States (1996)
ISBN 10: 0387943382 ISBN 13: 9780387943381
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Descripción Springer-Verlag New York Inc., United States, 1996. Hardback. Estado de conservación: New. 3rd ed. 1995. Corr. 2nd printing 1996. 236 x 157 mm. Language: English . Brand New Book. 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.). Nº de ref. de la librería AAW9780387943381

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Lang, Serge
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ISBN 10: 0387943382 ISBN 13: 9780387943381
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Descripción Springer-Verlag New York Inc., 1996. HRD. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería I1-9780387943381

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Lang, Serge
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Descripción Springer-Verlag New York Inc., 1996. HRD. Estado de conservación: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería I1-9780387943381

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Lang, Serge
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Descripción Springer, 1995. Hardcover. Estado de conservación: New. 3rd. This item is printed on demand. Nº de ref. de la librería DADAX0387943382

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Descripción Estado de conservación: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Nº de ref. de la librería NU-ING-00698982

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Descripción Springer, 1996. Hardcover. Estado de conservación: New. This item is printed on demand. Nº de ref. de la librería INGM9780387943381

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Descripción Springer, 1996. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0387943382

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