Skip to content
Register Sign in Wishlist
Pattern Formation

Pattern Formation
An Introduction to Methods


  • Date Published: March 2006
  • availability: Available
  • format: Hardback
  • isbn: 9780521817509

£ 72.99

Add to cart Add to wishlist

Other available formats:

Looking for an inspection copy?

This title is not currently available on inspection

Product filter button
About the Authors
  • 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 has 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 analyse 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. Suitable as an upper-undergraduate textbook for mathematics students or as a fascinating, engaging, and fully illustrated resource for readers in physics and biology, Rebecca Hoyle's book, using a non-partisan approach, unifies a range of techniques used by active researchers in this growing field.

    • Accessible description of the mathematical theory behind fascinating pattern formation in areas such as biology, physics and materials science
    • Collects recent research for the first time in an upper level textbook
    • Features a number of exercises - with solutions online - and worked examples
    Read more

    Reviews & endorsements

    '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

    'The book is nicely illustrated with many examples and can be used as an upper-undergraduate textbook for mathematics students as well as a good introductory resource to pattern formation methods for researchers.' Zentralblatt MATH

    ' … provides an excellent first look at the traditional applications and the mathematical theory of pattern formation. Readers who work through a substantial part of the book will be well equipped to dive into the current research literature.' Journal of Fluid Mechanics

    ' … a very useful guide to this topic area, presented in a clear and logical fashion and written with style and panache.' Mathematics Today

    See more reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: March 2006
    • format: Hardback
    • isbn: 9780521817509
    • length: 434 pages
    • dimensions: 257 x 211 x 30 mm
    • weight: 1.11kg
    • contains: 130 b/w illus. 20 colour illus. 9 tables 50 exercises
    • availability: Available
  • Table of Contents

    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.

  • Resources for

    Pattern Formation

    Rebecca Hoyle

    General Resources

    Find resources associated with this title

    Type Name Unlocked * Format Size

    Showing of

    Back to top

    *This title has one or more locked files and access is given only to lecturers adopting the textbook for their class. We need to enforce this strictly so that solutions are not made available to students. To gain access to locked resources you either need first to sign in or register for an account.

    These resources are provided free of charge by Cambridge University Press with permission of the author of the corresponding work, but are subject to copyright. You are permitted to view, print and download these resources for your own personal use only, provided any copyright lines on the resources are not removed or altered in any way. Any other use, including but not limited to distribution of the resources in modified form, or via electronic or other media, is strictly prohibited unless you have permission from the author of the corresponding work and provided you give appropriate acknowledgement of the source.

    If you are having problems accessing these resources please email

  • Author

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

Sign In

Please sign in to access your account


Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.