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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 |
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 |
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