{"product_id":"an-invitation-to-computational-homotopy-9780198832973","title":"An Invitation to Computational Homotopy","description":"\u003cem\u003eAn Invitation to Computational Homotopy\u003c\/em\u003e is an introduction to elementary algebraic topology for those with an interest in computers and computer programming. It expertly illustrates how the basics of the subject can be implemented on a computer through its focus on fully-worked examples\u003cbr\u003edesigned to develop problem solving techniques. \u003cp\u003e\u003c\/p\u003eThe transition from basic theory to practical computation raises a range of non-trivial algorithmic issues which will appeal to readers already familiar with basic theory and who are interested in developing computational aspects. The book covers a subset of standard introductory material on\u003cbr\u003efundamental groups, covering spaces, homology, cohomology and classifying spaces as well as some less standard material on crossed modules. \u003cp\u003e\u003c\/p\u003eThese topics are covered in a way that hints at potential applications of topology in areas of computer science and engineering outside the usual territory of pure mathematics, and also in a way that demonstrates how computers can be used to perform explicit calculations within the domain of pure\u003cbr\u003ealgebraic topology itself. The initial chapters include in-depth examples from data mining, biology and digital image analysis, while the later chapters cover a range of computational examples on the cohomology of classifying spaces that are likely beyond the reach of a purely paper-and-pen approach\u003cbr\u003eto the subject. \u003cp\u003e\u003c\/p\u003e\u003cem\u003eAn Invitation to Computational Homotopy\u003c\/em\u003e serves as a self-contained and informal introduction to these topics and their implementation in the sphere of computer science. Written in a dynamic and engaging style, it skilfully showcases a range of useful machine computations, and will serve as an\u003cbr\u003einvaluable aid to graduate students working with algebraic topology.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Graham Ellis\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Oxford University Press, USA\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/13\/2019\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 560\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 2.07lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 1.19d\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780198832973\u003cbr\u003e\u003cp\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003eGraham Ellis, \u003cem\u003eProfessor of Mathematics, National University of Ireland, Galway\u003c\/em\u003e \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eGraham Ellis received his PhD from the University of Wales, Bangor, in 1984 and has taught at the National University of Ireland, Galway since 1987. He is the Established Professor of Mathematics at Galway. He has published research articles on computational algebra, group theory and low-dimensional\u003cbr\u003etopology.\u003cbr\u003e\u003cbr\u003e","brand":"Oxford University Press, USA","offers":[{"title":"Hardcover","offer_id":39932116205683,"sku":"9.78E+12","price":135.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0555\/9255\/0515\/products\/img_1f2d5a47-9374-461d-9195-bea477df725a.jpg?v=1647790421","url":"https:\/\/bookstorenmore.com\/products\/an-invitation-to-computational-homotopy-9780198832973","provider":"Bookstore N More","version":"1.0","type":"link"}