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Pattern Formation
An Introduction to Methods
Buch von Rebecca B. Hoyle
Sprache: Englisch

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Beschreibung
From the stripes of a zebra and the spots on a leopard's back to the ripples on a sandy beach or desert dune, regular patterns arise everywhere in nature. This book provides an introduction to the range of mathematical theory and methods used to analyse and explain these often intricate and beautiful patterns. Suitable as an upper-undergraduate textbook for mathematics students or as a fascinating, fully illustrated resource for readers in physics and biology. Rebecca Hoyle's book unifies a range of techniques used by active researchers in this growing field.
From the stripes of a zebra and the spots on a leopard's back to the ripples on a sandy beach or desert dune, regular patterns arise everywhere in nature. This book provides an introduction to the range of mathematical theory and methods used to analyse and explain these often intricate and beautiful patterns. Suitable as an upper-undergraduate textbook for mathematics students or as a fascinating, fully illustrated resource for readers in physics and biology. Rebecca Hoyle's book unifies a range of techniques used by active researchers in this growing field.
Über den Autor
Rebecca Hoyle is a Senior Lecturer in Mathematics at the University of Surrey.
Inhaltsverzeichnis
1. What are natural patterns?; 2. A bit of bifurcation theory?; 3. A bit of group theory?; 4. Bifurcations with symmetry; 5. Simple lattice patterns; 6. Superlattices, hidden symmetries and other complications; 7. Spatial modulation and envelope equations; 8. Instabilities of stripes and travelling plane waves; 9. More instabilities of patterns; 10. Spirals, defects and spiral defect chaos; 11. Large-aspect-ratio systems and the Cross-Newell equations.
Details
Erscheinungsjahr: 2014
Rubrik: Wissenschaften
Medium: Buch
Seiten: 434
ISBN-13: 9780521817509
ISBN-10: 0521817501
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Hoyle, Rebecca B.
Hersteller: Cambridge University Press
Maße: 260 x 208 x 28 mm
Von/Mit: Rebecca B. Hoyle
Erscheinungsdatum: 30.06.2014
Gewicht: 1,149 kg
preigu-id: 102402702
Über den Autor
Rebecca Hoyle is a Senior Lecturer in Mathematics at the University of Surrey.
Inhaltsverzeichnis
1. What are natural patterns?; 2. A bit of bifurcation theory?; 3. A bit of group theory?; 4. Bifurcations with symmetry; 5. Simple lattice patterns; 6. Superlattices, hidden symmetries and other complications; 7. Spatial modulation and envelope equations; 8. Instabilities of stripes and travelling plane waves; 9. More instabilities of patterns; 10. Spirals, defects and spiral defect chaos; 11. Large-aspect-ratio systems and the Cross-Newell equations.
Details
Erscheinungsjahr: 2014
Rubrik: Wissenschaften
Medium: Buch
Seiten: 434
ISBN-13: 9780521817509
ISBN-10: 0521817501
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Hoyle, Rebecca B.
Hersteller: Cambridge University Press
Maße: 260 x 208 x 28 mm
Von/Mit: Rebecca B. Hoyle
Erscheinungsdatum: 30.06.2014
Gewicht: 1,149 kg
preigu-id: 102402702
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