Please read the chapter on "obstructions", p. 139.
For Euler and S-W classes, the classes are intimately connected to the Thom isomorphism and Thom class of a vector bundle, which is one of the emphases of the book.
The work is not the latest to be sure, but the exposition and the material covered make this an excellent introductory text as well as a reference.
This was topic for my 2nd oral exam at U of Chicago. Me and a couple of other fellows took turns lecturing on it to each other in preparation for same, to work out a few wrinkles... Read morePublished on October 16, 2010 by firstname.lastname@example.org
Milnor's writing is, as always, exceptionally clear and concise. Foundational material for any geometry student. Every mathematician should own this. Read morePublished on February 22, 2006 by A. Smith
Coming from a physics point of view, I did not find this exposition the most useful. It is rather formal and the ordering isn't that natural for a physicist. Read morePublished on August 14, 2002