Differential and Riemannian Manifolds (00031995. Corr. 2nd) (Hardcover)
 
作者: Serge Lang 
書城編號: 2597284


售價: $1000.00

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出版社: Springer Nature
出版日期: 1996/04/25
重量: 0.73 kg
ISBN: 9780387943381
 
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商品簡介
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.).
Serge Lang 作者作品表

Introduction to Algebraic Geometry (Paperback)

eBook: Introduction to Algebraic Geometry (DRM EPUB)

eBook: Abelian Varieties (DRM EPUB)

Abelian Varieties (Paperback)

eBook: Number Theory III: Diophantine Geometry (DRM PDF)

eBook: Faszination Mathematik: Ein Wissenschaftler stellt sich der Offentlichkeit (DRM PDF)

eBook: Algebraic Number Theory (DRM PDF)

eBook: Undergraduate Algebra (DRM PDF)

eBook: Linear Algebra (DRM PDF)

eBook: Complex Analysis (DRM PDF)

eBook: Complex Analysis (DRM PDF)

eBook: Undergraduate Analysis (DRM PDF)

eBook: Math!: Encounters with High School Students (DRM PDF)

eBook: Undergraduate Analysis (DRM PDF)

eBook: Complex Analysis (DRM PDF)

eBook: Introduction to Complex Hyperbolic Spaces (DRM PDF)

eBook: Undergraduate Algebra (DRM PDF)

eBook: Introduction to Algebraic and Abelian Functions (DRM PDF)

eBook: Introduction to Diophantine Approximations: New Expanded Edition (DRM PDF)

eBook: Differential and Riemannian Manifolds (DRM PDF)

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