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 ...
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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.
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New. 218 p. Cambridge Tracts in Mathematics . Worked examples or Exercises; 5 Halftones, unspecified; 5 Line drawings, unspecified. Intended for professional and scholarly audience.
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New. Contains: Line drawings, Halftones, Unspecified. Cambridge Tracts in Mathematics . 10 b/w illus. 60 exercises. Intended for professional and scholarly audience.
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New. Contains: Line drawings, Halftones, Unspecified. Cambridge Tracts in Mathematics . 10 b/w illus. 60 exercises. Intended for professional and scholarly audience.
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New. Contains: Line drawings, Halftones, Unspecified. Cambridge Tracts in Mathematics . 10 b/w illus. 60 exercises. Intended for professional and scholarly audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. 218 p. Cambridge Tracts in Mathematics . Worked examples or Exercises; 5 Halftones, unspecified; 5 Line drawings, unspecified. Intended for professional and scholarly audience.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. 218 p. Cambridge Tracts in Mathematics . Worked examples or Exercises; 5 Halftones, unspecified; 5 Line drawings, unspecified. Intended for professional and scholarly audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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