Dimensions, Embeddings, and Attractors
dec 2010. · Cambridge Tracts in Mathematics 186. knjiga · Cambridge University Press
E-knjiga
219
Broj stranica
reportOcjene i recenzije nisu potvrđene Saznajte više
O ovoj e-knjizi
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.
O autoru
James C. Robinson is Professor of Mathematics at Warwick University.
Ocijenite ovu e-knjigu
Recite nam šta mislite.
Informacije o čitanju
Pametni telefoni i tableti
Instalirajte aplikaciju Google Play Knjige za Android i iPad/iPhone uređaje. Aplikacija se automatski sinhronizira s vašim računom i omogućava vam čitanje na mreži ili van nje gdje god da se nalazite.
Laptopi i računari
Audio knjige koje su kupljene na Google Playu možete slušati pomoću web preglednika na vašem računaru.
Elektronički čitači i ostali uređaji
Da čitate na e-ink uređajima kao što su Kobo e-čitači, morat ćete preuzeti fajl i prenijeti ga na uređaj. Pratite detaljne upute Centra za pomoć da prenesete fajlove na podržane e-čitače.
