{"product_id":"dimensions-embeddings-and-attractors-cambridge-tracts-in-mathematics-series-number-186-0521898056","title":"Dimensions, Embeddings, and Attractors (Cambridge Tracts in Mathematics, Series Number 186)","description":"\u003cp\u003e\u003cstrong\u003eISBN:\u003c\/strong\u003e 0521898056\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAuthor:\u003c\/strong\u003e Robinson, James C.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eCondition:\u003c\/strong\u003e New\u003c\/p\u003e\u003cp\u003eThis 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.\u003c\/p\u003e\u003cul\u003e\u003cli\u003eNew | Mint Condition | Dispatch same day for order received before 12 noon | Guaranteed packaging | No quibbles returns\u003c\/li\u003e\u003c\/ul\u003e","brand":"Mia Karts","offers":[{"title":"Default Title","offer_id":51941786452256,"sku":"NEW0521898056","price":133.31,"currency_code":"USD","in_stock":true}],"url":"https:\/\/miakarts.com\/products\/dimensions-embeddings-and-attractors-cambridge-tracts-in-mathematics-series-number-186-0521898056","provider":"Miakarts Books","version":"1.0","type":"link"}