{"product_id":"topology-for-computing-paperback-9780521136099","title":"Topology for Computing (Paperback) 9780521136099","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eTopology for Computing\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis book presents basic concepts from the emerging field of computational topology, now being used to solve problems in diverse fields.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eAfra J. Zomorodian (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521136099, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 28 September 2009\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e260 pages, 118 b\/w illus.  2 colour illus.\u003cbr\u003e22.6 x 15.2 x 1.5 cm, 0.36 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'In my knowledge, it is the first book covering these topics.' Numerical Algorithms\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe emerging field of computational topology utilizes theory from topology and the power of computing to solve problems in diverse fields. Recent applications include computer graphics, computer-aided design (CAD), and structural biology, all of which involve understanding the intrinsic shape of some real or abstract space. A primary goal of this book is to present basic concepts from topology and Morse theory to enable a non-specialist to grasp and participate in current research in computational topology. The author gives a self-contained presentation of the mathematical concepts from a computer scientist's point of view, combining point set topology, algebraic topology, group theory, differential manifolds, and Morse theory. He also presents some recent advances in the area, including topological persistence and hierarchical Morse complexes. Throughout, the focus is on computational challenges and on presenting algorithms and data structures when appropriate.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction\u003cbr\u003e Part I. Mathematics: 2. Spaces and filtrations\u003cbr\u003e 3. Group theory\u003cbr\u003e 4. Homology\u003cbr\u003e 5. Morse theory\u003cbr\u003e 6. New results\u003cbr\u003e Part II. Algorithms: 7. The persistence algorithms\u003cbr\u003e 8. Topological simplification\u003cbr\u003e 9. The Morse–Smale algorithm\u003cbr\u003e 10. The linking number algorithm\u003cbr\u003e Part III. Applications: 11. Software\u003cbr\u003e 12. Experiments\u003cbr\u003e 13. Applications.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical theory of computation [\u003ca title=\"See our other books on Mathematical theory of computation\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20theory%20of%20computation%20%5BUYA%5D%22\"\u003eUYA\u003c\/a\u003e], Topology [\u003ca title=\"See our other books on Topology\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Topology%20%5BPBP%5D%22\"\u003ePBP\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46003296600344,"sku":"9780521136099","price":44.98,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521136099i_3ddf4a49-c968-4e52-ba62-c6da51889e6e.jpg?v=1691372230","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/topology-for-computing-paperback-9780521136099","provider":"Freshly Printed Books","version":"1.0","type":"link"}