{"product_id":"topology-from-the-differentiable-viewpoint-john-milnor-9780691048338","title":"Topology from the Differentiable Viewpoint","description":"\u003cp\u003eThis elegant book by distinguished mathematician John Milnor, provides a clear and succinct introduction to one of the most important subjects in modern mathematics. Beginning with basic concepts such as diffeomorphisms and smooth manifolds, he goes on to examine tangent spaces, oriented manifolds, and vector fields. Key concepts such as homotopy, the index number of a map, and the Pontryagin construction are discussed. The author presents proofs of Sard's theorem and the Hopf theorem.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e John Milnor\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0691048339\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780691048338\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Princeton University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 12\/14\/1997\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 80\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.30lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.99h x 6.01w x 0.28d","brand":"John Milnor","offers":[{"title":"Paperback","offer_id":43946940072191,"sku":"9780691048338","price":49.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_ac492130-8e0a-4046-bbc6-6ac2c03ffdd7.jpg?v=1681515828","url":"https:\/\/www.whiterainbookhouse.com\/products\/topology-from-the-differentiable-viewpoint-john-milnor-9780691048338","provider":"WR Book House","version":"1.0","type":"link"}