An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised – 2nd Edition Editor-in-Chiefs: William Boothby. Authors: William Boothby. MA Introduction to Differential Geometry and Topology William M. Boothby, An Introduction to Differentiable Manifolds and Riemannian Geometry. Here’s my answer to this question at length. In summary, if you are looking.
|Published (Last):||20 February 2005|
|PDF File Size:||7.13 Mb|
|ePub File Size:||8.59 Mb|
|Price:||Free* [*Free Regsitration Required]|
Please someone tell me a book for Differential Geometry more advanced than Carmo’s book but readable esp. In summary, if you are looking at the pure mathematics style of DG, you would be looking at do Carmo’s “Riemmanian geometry”, three books by John M. And for the really advanced level, there’s Schoen and Yau “Lectures on Differential Geometry”, which lists many hundreds of open problems to work on at the postgraduate level.
Home Questions Tags Users Unanswered. Next book in learning Differential Geometry Ask Question. What about do Carmo’s “Riemannian Geometry” which is, in some sense, a sequel? The book covers some of the foundational material in Riemannian geometry that you would need to study modern Riemannian geometry and research papers in the field.
After, that there are a number of possible directions you could take, which I would be happy diffdrential note if you are interested. Many people recommend Introduction to Smooth Manifolds by Lee. Hi AlphaE, yes that’s it I wrote the full title in my previous comment. By the way, as littleO sort of suggested, there are a number of directions other than differential geometry which you could take. Lee’s book is if I remember correctly on the general theory of topological manifolds and probably covers some algebraic topology.
MA 562 Introduction to Differential Geometry and Topology
So, if you are interested in algebraic topology, you could read that, or a number of other references too. Amitesh Datta Hi, the reference for graduate level that I need to cover it as a first direction differential go is “W M Boothby – An Introduction to Differentiable Manifolds and and Riemannian Geometry” which is not readable despite its appearance!
May 30 ’15 at 1: Hi AlphaE, I read Boothby’s book that’s where I first learnt about differentiable manifolds ; I thought it was quite a well-written book.
I’d be curious to know why you think otherwise. I think do Carmo summarizes a lot of the elementary material that he needs much of diferential would be covered in more detail in Boothby’s book, for example in Chapter 0.
I don’t know how practical it would be to learn this material directly from Chapter 0 of do Carmo’s book, though; it depends on your mathematical maturity.
Here’s my answer to this question at length. Kennington 1, 7 He develops the theory in suitable generality to do general relativity and then devotes several chapters to FRW cosmology and black holes. I need to bookmark this. Bootthby would add one for the sake of physics.
It has about pages of pure math at the start and is one of the more lucid birds-eye views you’ll find in the physics literature. Cook May 30 ’15 at 2: James, that might be something for me to look up in the library. It’s selling for However, I was guessing that the question was about the pure mathematical style of DG. My web page subdivides DG books into the mathematics style and the physics style.
They have different objectives of course. Kennington May 30 bootuby at 2: Sign up or log in Sign up using Google.
MATH – Introduction to Differential Geometry and Topology
Sign up using Facebook. Sign up using Email and Password. Post as a guest Name. Email Required, but never shown.