{"product_id":"dimensions-embeddings-and-attractors-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\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 12\/16\/2010\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 218\u003cbr\u003e\u003cb\u003eBinding Type:\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\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780521898058\u003cbr\u003e\u003cp\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003cbr\u003e\u003cb\u003e\u003ci\u003eRobinson, James C.:\u003c\/i\u003e\u003c\/b\u003e - James C. Robinson is Professor of Mathematics at Warwick University.\u003c\/p\u003e","brand":"Cambridge University Press","offers":[{"title":"Hardcover","offer_id":40767186763891,"sku":"9.78E+12","price":134.7,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0555\/9255\/0515\/products\/img_adbb0d4a-0d6c-41d2-bfed-163e82887c1f.jpg?v=1679580137","url":"https:\/\/bookstorenmore.com\/products\/dimensions-embeddings-and-attractors-9780521898058","provider":"Bookstore N More","version":"1.0","type":"link"}