{"product_id":"dimensions-embeddings-and-attractors-james-c-robinson-9780521898058","title":"Dimensions, Embeddings, and Attractors","description":"This accessible research monograph investigates how 'finite-dimensional' sets can be embedded into finite-dimensional Euclidean spaces. The first part brings together a number of abstract embedding results, and provides a unified treatment of four definitions of dimension that arise in disparate fields: Lebesgue covering dimension (from classical 'dimension theory'), Hausdorff dimension (from geometric measure theory), upper box-counting dimension (from dynamical systems), and Assouad dimension (from the theory of metric spaces). These abstract embedding results are applied in the second part of the book to the finite-dimensional global attractors that arise in certain infinite-dimensional dynamical systems, deducing practical consequences from the existence of such attractors: a version of the Takens time-delay embedding theorem valid in spatially extended systems, and a result on parametrisation by point values. This book will appeal to all researchers with an interest in dimension theory, particularly those working in dynamical systems.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e James C. Robinson\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0521898056\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780521898058\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 12\/16\/2010\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 218\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.00lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.80d","brand":"James C. Robinson","offers":[{"title":"Hardcover","offer_id":44119853433087,"sku":"9780521898058","price":86.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_134fe759-b5f0-4e75-abae-38482ab733aa.jpg?v=1687411282","url":"https:\/\/www.whiterainbookhouse.com\/products\/dimensions-embeddings-and-attractors-james-c-robinson-9780521898058","provider":"WR Book House","version":"1.0","type":"link"}