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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There are many books on such differfntial 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. Post as a guest Name. Post as a guest Name. I also wanted to focus on differential geometry and not differential topology.

I thought that this would differenyial make the price go up but it got cheaper! For his definition of connected sum we have: Email Required, but never shown.

Is there really such a subject as “basic differential geometry? Category Theory in Context Aurora: Probably the worst mistake is when the term “framed manifold” is introduced and defined to mean exactly the same thing as “pi-manifold,” without ever acknowledging this fact, and then the terms are used interchangeably afterward, with theorems about framed manifolds being proved by reference to results about pi-manifolds, and even with the redundant expression “framed pi-manifold” being used in a few places.


Shopbop Designer Fashion Brands. In this way, one automatically constructs smooth manifolds without having to resort to “vigorous hand waving” to smooth corners.

Please try again later. As I said above, this book is peripheral to my interests because it is really a differential topology book, not a differential geometry book.

I disagree that Kosinski’s book is solid though. Differential Manifolds Dover Books on Mathematics. Learn more about Amazon Giveaway. Spivack is for me way too verbose and makes differemtial things look too complicated and difficult. Kosinski, Professor Emeritus of Mathematics at Rutgers University, offers an accessible approach to both the h-cobordism theorem and the classification of differential structures on spheres.

This appendix is referred to in an interpolated paragraph on page Lee’s book is probably your best bet, then.

The downside to this method which is likely to be unfamiliar to oksinski readers is that much time is spent constructing explicit differetial for handle attachments, e. I think there is no conceptual difficulty at here. And, back in the day, many of us also learned a lot by reading Thurston’s notes on 3-manifolds.

Don’t worry about the “physicists” bit in the title, the proofs are not missing there: Differential Forms with Applications to the Physical Sciences.


The final chapter introduces the method of surgery and applies it to the classification of smooth structures of spheres. Perhaps most books try to do this, but Berger is particularly generous with it, and good at it, in my opinion.

Academic PressDec 3, – Mathematics – pages. Most chapters conclude with a section titled “Historical Remarks” or just “Remarks,” that explains the history of the development of the subject, including many references. By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service.

Reading list for basic differential geometry? – MathOverflow

This is more advanced then Lee and leans more towards topology. His definition of connect sum is as follows.

Withoutabox Submit to Film Festivals. And it’s really about differential topology that is the title after all and not differential geometry.

Differential Manifolds

Read “Malcolm’s” review of it in Amazon, I agree with it completely. Write a customer review. The heart of the book is Chapter VI, where the concept of gluing manifolds together is explored.

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