Rebecca B. Hoyle

Pattern Formation

An Introduction to Methods

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 434
• Erscheinungstermin: 30. Juni 2014
• Englisch
• Abmessung: 260mm x 208mm x 28mm
• Gewicht: 1149g
• ISBN-13: 9780521817509
• ISBN-10: 0521817501
• Artikelnr.: 21130193

Autorenporträt

Rebecca Hoyle is a Senior Lecturer in Mathematics at the University of Surrey.

Inhaltsangabe

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.