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. The appearance and evolution of these phenomena have been a focus of recent research activity across several disciplines. This book provides an introduction to the range of mathematical theory and methods used to analyze and explain these often intricate and beautiful patterns. Bringing together several different approaches, from group theoretic methods to envelope equations and theory of patterns in large-aspect ratio-systems, the book also provides insight behind the selection of one pattern over another.
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Editorial Reviews
Review
"Rebecca Hoyle's book is an invaluable graduate text for those who first enter the field of Pattern Formation. It has a remarkably lucid style and friendly exposition and very balanced level of detail through the book. An important strength is its rigorous mathematical approach which equips the reader with the underlying understanding of the mechanisms of pattern formation and enables one to confidently investigate novel problems...I find it remarkable that a book presenting a field that has recently grown to such proportions, feels so light and approachable when you first take it in your hands. This is, I think, a much needed encouragement for the beginner. The uncluttered chapter structure and also the nice publisher design play a role in this."
UK Nonlinear News
"Altogether, Hoyle has in her book created a rich and inviting exposition (including, for example, many illustrative pictures), suitable either as a reference source or as a course book for graduate students or perhaps even advanced undergraduates."
Mathematical Reviews
"...I have recommended this book to all my graduate students. It provides a useful starting point for those of us interested in the theory of pattern formation and is well suited as a text for a first course on pattern formation."
Edgar Knobloch, Physics Today
"... An engaging foray into understanding the mathematics of patterns and serves as a good source for active researchers in the field."
Tom Schulte, Oakland University for MAA Reviews
UK Nonlinear News
"Altogether, Hoyle has in her book created a rich and inviting exposition (including, for example, many illustrative pictures), suitable either as a reference source or as a course book for graduate students or perhaps even advanced undergraduates."
Mathematical Reviews
"...I have recommended this book to all my graduate students. It provides a useful starting point for those of us interested in the theory of pattern formation and is well suited as a text for a first course on pattern formation."
Edgar Knobloch, Physics Today
"... An engaging foray into understanding the mathematics of patterns and serves as a good source for active researchers in the field."
Tom Schulte, Oakland University for MAA Reviews
Book Description
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.
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Inside This Book
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First Sentence:
This book is about patterns: stripes on tigers, whorls in your fingerprints, ripples in sandy deserts, and hexagons you can cook in your own kitchen. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
After Manneville, Branch Orbit, University of Leeds New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
This book is about patterns: stripes on tigers, whorls in your fingerprints, ripples in sandy deserts, and hexagons you can cook in your own kitchen. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
After Manneville, Branch Orbit, University of Leeds New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 8
books:
See all 8 books this book cites
- Wave Motion (Cambridge Texts in Applied Mathematics) by J. Billingham in Back Matter
- Pure Mathematics: Detailed Solutions to Advanced Level Questions by D. Murray in Back Matter
- Group Theory in Physics (Techniques in Physics, Vol 1) by John F. Cornwell in Back Matter
- Linear Algebra: Supplementary Notes & Problems by E. L. Cohen in Back Matter
- Applications of Centre Manifold Theory (Applied Mathematical Sciences) by J. Carr in Back Matter
See all 8 books this book cites
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