I think there is no conceptual difficulty at here. For his definition of connected sum we have: Two manifolds M 1, M 2 with the same dimension in. Differential Manifolds – 1st Edition – ISBN: , View on ScienceDirect 1st Edition. Write a review. Authors: Antoni Kosinski. “How useful it is,” noted the Bulletin of the American Mathematical Society, “to have a single, short, well-written book on differential topology.” This accessible.

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Reading list for basic differential geometry? – MathOverflow

The text is also interlaced with exercises, most of which are relatively straightforward. Write a customer review. Dover Modern Math Originals. Dover Publications October 19, Language: He doesn’t shy away from giving informal descriptions of ideas and motivations behind definitions.

Differential Manifolds

If you are a seller for this product, would you like to suggest updates through seller support? Subsequent chapters explain the technique of joining manifolds along submanifolds, the handle presentation theorem, and the proof of kosinsski h-cobordism theorem based on these constructions.

Moreover, “framed cobordant” is then defined in Chapter X to mean something different than it meant in Chapter IX.

For a basic undergraduate introduction to differential geometry, I’d highly recommend Manfredo Do Carmo’s Differential Geometry of Curves and Surfaces. Get to Know Us. Warner’s book “Foundations of Differentiable Manifolds and Lie Groups” is a bit more advanced and is quite dense compared to Lee and Spivak, but it is also worth looking at, after you become sifferential comfortable with the basic material.


Differential Manifolds Dover Books on Mathematics.

Because it appears that each differential geometer and therefore each differential geometry book uses its own notation different from everybody else’s.

However, if that is not enough, I’d move on to Maniflds Differential Manifolds which covers the basics of smooth manifolds, submersions, immersions, embeddings, normal bundles, tubular neighborhoods, transversality, foliations, handle presentation theorem, h-cobordism theorem, framed manifolds, and surgery on manifolds. Spivak’s “Comprehensive Cifferential to Differential Geometry” is also very nice, especially the newer version with non-ugly typesetting.

Sign up using Facebook. Amazon Restaurants Food delivery from local restaurants. Once you have seen the basics, Bott and Tu’s ” Differential Forms in Algebraic Topology “, which is one of the great textbooks, might be a nice choice.

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Conceptual error in Kosinski’s “Differential Manifolds”? – Mathematics Stack Exchange

I’d like to ask if people can point me towards good books or notes to learn some basic differential geometry. Maybe I’m misreading or misunderstanding. Email Required, but never shown.

Learn more about Amazon Giveaway. There are many books on such pre-Ricci-flow differential topology, and they cover much the same material, but this book by Kosinski tries to be helpful to the reader, rather than showing off virtuoso techniques in perplexing ways as some books seem to do.


Account Options Sign in. The downside to this method which is likely to be unfamiliar to koisnski readers is that much time is spent constructing explicit formulas for handle attachments, e.

Category Theory in Context Aurora: And I wish more losinski would take your advice about local coordinates and Christoffel symbols.

Email Required, but never shown. Lin Nov 10 ’09 at Definitely second Milnor’s Morse Theory. The latter chapters concern general relativity, differentila the earlier chapters are purely mathematical and contain lots of nice differential geometry. Differential Forms with Applications to the Physical Sciences. By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service.

Mathematics Stack Exchange works best with JavaScript enabled. Home Questions Tags Users Unanswered. Academic Press kosinki, Dec 3, – Mathematics – pages. Differential Manifolds presents to advanced undergraduates and graduate students the systematic study of the topological structure of smooth manifolds.