Skip to content
Register Sign in Wishlist
Equivalence, Invariants and Symmetry

Equivalence, Invariants and Symmetry


  • Date Published: February 2009
  • availability: Available
  • format: Paperback
  • isbn: 9780521101042

£ 50.99

Add to cart Add to wishlist

Other available formats:
Hardback, eBook

Looking for an inspection copy?

This title is not currently available on inspection

Product filter button
About the Authors
  • Drawing on a wide range of mathematical disciplines, including geometry, analysis, applied mathematics and algebra, this book presents an innovative synthesis of methods used to study problems of equivalence and symmetry which arise in a variety of mathematical fields and physical applications. Systematic and constructive methods for solving equivalence problems and calculating symmetries are developed and applied to a wide variety of mathematical systems, including differential equations, variational problems, manifolds, Riemannian metrics, polynomials and differential operators. Particular emphasis is given to the construction and classification of invariants, and to the reductions of complicated objects to simple canonical forms. This book will be a valuable resource for students and researchers in geometry, analysis, algebra, mathematical physics and other related fields.

    • Includes numerous exercises and historical details
    • Theory is illustrated by many examples and applications
    • Style is not overly technical
    Read more

    Reviews & endorsements

    '... contains so much useful information ... I am sure that the book will fulfil its author's intention and serve as a catalyst for the further development of this fascinating and fertile mathematical field.' J. A. G. Vickers, Bulletin of the London Mathematical Society

    '... there is no room for doubt about the author's authority in the subject. As a definitive work at its price every mathematics research library should have a copy.' J. F. Toland, Proceedings of the Edinburgh Mathematical Society

    'The book should be warmly recommended to graduate students of mathematics and mathematical physics.' European Mathematical Society Newsletter

    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: February 2009
    • format: Paperback
    • isbn: 9780521101042
    • length: 544 pages
    • dimensions: 229 x 152 x 31 mm
    • weight: 0.79kg
    • contains: 6 b/w illus. 7 tables 147 exercises
    • availability: Available
  • Table of Contents

    1. Geometric foundations
    2. Lie groups
    3. Representation theory
    4. Jets and contact transformations
    5. Differential invariants
    6. Symmetries of differential equations
    7. Symmetries of variational problems
    8. Equivalence of coframes
    9. Formulation of equivalence problems
    10. Cartan's equivalence method
    11. Involution
    12. Prolongation of equivalence problems
    13. Differential systems
    14. Frobenius' theorem
    15. The Cartan–Kahler existence theorem.

  • Author

    Peter J. Olver, University of Minnesota

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 ×
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.


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.