{"product_id":"algebraic-topology-a-first-course-9780387943275","title":"Algebraic Topology: A First Course","description":"\u003cp\u003e • Author(s): William Fulton\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Topology - General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eTo 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\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45283952623767,"sku":"9780387943275","price":2908.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780387943275.webp?v=1769279733","url":"https:\/\/atlanticbooks.com\/products\/algebraic-topology-a-first-course-9780387943275","provider":"Atlantic Books","version":"1.0","type":"link"}