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Dimensions, Embeddings, and Attractors
Buch von James C. Robinson
Sprache: Englisch

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Beschreibung
Accessible monograph exploring what it means for a set to be 'finite-dimensional' and applying the abstract theory to attractors.
Accessible monograph exploring what it means for a set to be 'finite-dimensional' and applying the abstract theory to attractors.
Über den Autor
James C. Robinson is Professor of Mathematics at Warwick University.
Inhaltsverzeichnis
Preface; Introduction; Part I. Finite-Dimensional Sets: 1. Lebesgue covering dimension; 2. Hausdorff measure and Hausdorff dimension; 3. Box-counting dimension; 4. An embedding theorem for subsets of RN; 5. Prevalence, probe spaces, and a crucial inequality; 6. Embedding sets with dH(X-X) finite; 7. Thickness exponents; 8. Embedding sets of finite box-counting dimension; 9. Assouad dimension; Part II. Finite-Dimensional Attractors: 10. Partial differential equations and nonlinear semigroups; 11. Attracting sets in infinite-dimensional systems; 12. Bounding the box-counting dimension of attractors; 13. Thickness exponents of attractors; 14. The Takens time-delay embedding theorem; 15. Parametrisation of attractors via point values; Solutions to exercises; References; Index.
Details
Erscheinungsjahr: 2010
Fachbereich: Analysis
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9780521898058
ISBN-10: 0521898056
Sprache: Englisch
Einband: Gebunden
Autor: Robinson, James C.
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 235 x 157 x 18 mm
Von/Mit: James C. Robinson
Erscheinungsdatum: 16.12.2010
Gewicht: 0,511 kg
Artikel-ID: 107304283
Über den Autor
James C. Robinson is Professor of Mathematics at Warwick University.
Inhaltsverzeichnis
Preface; Introduction; Part I. Finite-Dimensional Sets: 1. Lebesgue covering dimension; 2. Hausdorff measure and Hausdorff dimension; 3. Box-counting dimension; 4. An embedding theorem for subsets of RN; 5. Prevalence, probe spaces, and a crucial inequality; 6. Embedding sets with dH(X-X) finite; 7. Thickness exponents; 8. Embedding sets of finite box-counting dimension; 9. Assouad dimension; Part II. Finite-Dimensional Attractors: 10. Partial differential equations and nonlinear semigroups; 11. Attracting sets in infinite-dimensional systems; 12. Bounding the box-counting dimension of attractors; 13. Thickness exponents of attractors; 14. The Takens time-delay embedding theorem; 15. Parametrisation of attractors via point values; Solutions to exercises; References; Index.
Details
Erscheinungsjahr: 2010
Fachbereich: Analysis
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
ISBN-13: 9780521898058
ISBN-10: 0521898056
Sprache: Englisch
Einband: Gebunden
Autor: Robinson, James C.
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 235 x 157 x 18 mm
Von/Mit: James C. Robinson
Erscheinungsdatum: 16.12.2010
Gewicht: 0,511 kg
Artikel-ID: 107304283
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