Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
|
Buy Now
Differential and Riemannian Manifolds (Hardcover, 3rd ed. 1995. Corr. 2nd printing 1996)
Loot Price: R2,643
Discovery Miles 26 430
|
|
Differential and Riemannian Manifolds (Hardcover, 3rd ed. 1995. Corr. 2nd printing 1996)
Series: Graduate Texts in Mathematics, 160
Expected to ship within 12 - 17 working days
|
Donate to Against Period Poverty
Total price: R2,663
Discovery Miles: 26 630
|
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.).
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.