Skip to content
Register Sign in Wishlist

Differentiable Germs and Catastrophes

$38.99 (C)

Part of London Mathematical Society Lecture Note Series

  • Date Published: August 1975
  • availability: Available
  • format: Paperback
  • isbn: 9780521206815

$ 38.99 (C)
Paperback

Add to cart Add to wishlist

Other available formats:
eBook


Looking for an examination copy?

This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • These notes give a fairly elementary introduction to the local theory of differentiable mappings. Sard's Theorem and the Preparation Theorem of Malgrange and Mather are the basic tools and these are proved first. There follows a number of illustrations including: the local part of Whitney's Theorem on mappings of the plane into the plane, quadratic differentials, the Instability Theorem of Thom, one of Mather's theorems on finite determinacy and a glimpse of the theory of Toujeron. The later part of the book develops Mather's theory of unfoldings of singularities. Its application to Catastrophe theory is explained and the Elementary Catastrophes are illustrated by many pictures. The book is suitable as a text for courses to graduates and advanced undergraduates but may also be of interest to mathematical biologists and economists.

    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: August 1975
    • format: Paperback
    • isbn: 9780521206815
    • length: 188 pages
    • dimensions: 229 x 152 x 11 mm
    • weight: 0.28kg
    • availability: Available
  • Table of Contents

    1. Foreword
    1. Germs with constant rank
    2. Regular values
    3. Construction of differentiable maps
    4. Germs and jets
    5. The division theorem
    6. The preparation theorem
    7. Symmetric germs
    8. Mappings of the plane into the plane
    9. Boardman-Thom singularities
    10. The quadratic differential
    11. Finitely determined germs
    12. Some elementary algebraic geometry
    13. Tougeron's theory
    14. The universal unfolding of a singularity
    15. The seven elementary catastrophes
    16. Proof of the main theorem on universal unfoldings
    17. Pictures of the seven elementary catastrophes
    Further reading
    Indices.

  • Author

    Theodor Bröcker

    Translator

    L. Lander

Sorry, this resource is locked

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

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 www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon
×

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.

Cancel

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.
×