Skip to content
Register Sign in Wishlist
Look Inside Solitons and Geometry

Solitons and Geometry

Out of Print

Part of Lezione Fermiane

  • Date Published: March 2009
  • availability: Unavailable - out of print April 2010
  • format: Paperback
  • isbn: 9780521097093

Out of Print

Unavailable - out of print April 2010
Unavailable 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
  • This is an introduction to the geometry of Hamiltonian systems from the modern point of view where the basic structure is a Poisson bracket. Using this approach a mathematical analogue of the famous 'Dirac monopole' is obtained starting from the classical top in a gravity field. This approach is especially useful in physical applications in which a field theory appears; this is the subject of the second part of the lectures, which contains a theory of conservative hydrodynamic-type systems, based on Riemannian geometry, developed over the last decade. The theory has had success in solving problems in physics, such as ones associated with dispersive analogues of shock waves, and its development has led to the introduction of new notions in geometry. The book is based on lectures given by the author in Pisa and which were intended for a non-specialist audience. It provides an introduction from which to proceed to more advanced work in the area.

    •  First book on subject
    •  Eminent author (winner of Fields Medal, equivalent to the 'Nobel Prize for Mathematics')
    Read more

    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 2009
    • format: Paperback
    • isbn: 9780521097093
    • length: 64 pages
    • dimensions: 244 x 170 x 3 mm
    • weight: 0.12kg
    • availability: Unavailable - out of print April 2010
  • Table of Contents

    1. Introduction, plan of the lectures, Poisson structures
    2. Poisson structures on finite-dimensional manifolds, Hamiltonian systems, completely integrable systems
    3. Classical analogue of the Dirac monopole, complete integrability and algebraic geometry
    4. Poisson structures on loop spaces, systems of hydrodynamic type and differential geometry
    5. Non-linear WKB method, hydrodynamics of weakly deformed soliton lattices

  • Author

    S. P. Novikov, Steklov Institute of Mathematics, Moscow

Related Books

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.