{"product_id":"algebraic-topology-william-fulton-9780387943275","title":"Algebraic Topology: A First Course","description":"To the Teacher. This book is designed to introduce a student to some of the important ideas of algebraic topology by emphasizing the re- lations of these ideas with other areas of mathematics. Rather than choosing one point of view of modem topology (homotopy theory, simplicial complexes, singular theory, axiomatic homology, differ- ential topology, etc.), we concentrate our attention on concrete prob- lems in low dimensions, introducing only as much algebraic machin- ery as necessary for the problems we meet. This makes it possible to see a wider variety of important features of the subject than is usual in a beginning text. The book is designed for students of mathematics or science who are not aiming to become practicing algebraic topol- ogists-without, we hope, discouraging budding topologists. We also feel that this approach is in better harmony with the historical devel- opment of the subject. What would we like a student to know after a first course in to- pology (assuming we reject the answer: half of what one would like the student to know after a second course in topology)? Our answers to this have guided the choice of material, which includes: under- standing the relation between homology and integration, first on plane domains, later on Riemann surfaces and in higher dimensions; wind- ing numbers and degrees of mappings, fixed-point theorems; appli- cations such as the Jordan curve theorem, invariance of domain; in- dices of vector fields and Euler characteristics; fundamental groups\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e William Fulton\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0387943277\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780387943275\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/27\/1995\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 430\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.42lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.24h x 6.24w x 0.86d","brand":"William Fulton","offers":[{"title":"Paperback","offer_id":44119653482751,"sku":"9780387943275","price":49.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_208665c8-9ee9-45f3-a652-a35cc4a3f07c.jpg?v=1687410301","url":"https:\/\/www.whiterainbookhouse.com\/products\/algebraic-topology-william-fulton-9780387943275","provider":"WR Book House","version":"1.0","type":"link"}