Skip to content
Register Sign in Wishlist
Algebraic Theory of Differential Equations

Algebraic Theory of Differential Equations

$88.00 (C)

Part of London Mathematical Society Lecture Note Series

Michael F. Singer, Felix Ulmer, Jacques-Arthur Weil, Sergey P. Tsarev, Anton Leykin, A. V. Mikhailov, V. S. Novikov, Jing Ping Wang, Jarmo Hietarinta, Anand Pillay
View all contributors
  • Date Published: January 2009
  • availability: In stock
  • format: Paperback
  • isbn: 9780521720083

$ 88.00 (C)
Paperback

Add to cart Add to wishlist

Other available formats:
eBook


Looking for an examination copy?

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
  • Integration of differential equations is a central problem in mathematics and several approaches have been developed by studying analytic, algebraic, and algorithmic aspects of the subject. One of these is Differential Galois Theory, developed by Kolchin and his school, and another originates from the Soliton Theory and Inverse Spectral Transform method, which was born in the works of Kruskal, Zabusky, Gardner, Green and Miura. Many other approaches have also been developed, but there has so far been no intersection between them. This unique introduction to the subject finally brings them together, with the aim of initiating interaction and collaboration between these various mathematical communities. The collection includes a LMS Invited Lecture Course by Michael F. Singer, together with some shorter lecture courses and review articles, all based upon a mini-program held at the International Centre for Mathematical Sciences (ICMS) in Edinburgh.

    • Features the LMS Invited Lecture Course by Professor Michael F. Singer
    • Brings together various different approaches to the problem of integrability
    • An introduction suitable for graduate students and academic researchers
    Read more

    Reviews & endorsements

    "... A useful book that serves as an introduction to both the Galois theory of (linear) differential equations and several other algebraic approaches to such equations. Libraries will definitely want to have a copy."
    Fernando Q. Gouvea, MAA 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: January 2009
    • format: Paperback
    • isbn: 9780521720083
    • length: 248 pages
    • dimensions: 228 x 152 x 13 mm
    • weight: 0.35kg
    • availability: In stock
  • Table of Contents

    Preface
    1. Galois theory of linear differential equations Michael F. Singer
    2. Solving in closed form Felix Ulmer and Jacques-Arthur Weil
    3. Factorization of linear systems Sergey P. Tsarev
    4. Introduction to D-modules Anton Leykin
    5. Symbolic representation and classification of integrable systems A. V. Mikhailov, V. S. Novikov and Jing Ping Wang
    6. Searching for integrable (P)DEs Jarmo Hietarinta
    7. Around differential Galois theory Anand Pillay.

  • Editors

    Malcolm A. H. MacCallum, Queen Mary University of London
    Malcolm A. H. MacCallum is Professor of Applied Mathematics at Queen Mary, University of London.

    Alexander V. Mikhailov, University of Leeds
    Alexander V. Mikhailov is Professor of Mathematical Physics at the University of Leeds.

    Contributors

    Michael F. Singer, Felix Ulmer, Jacques-Arthur Weil, Sergey P. Tsarev, Anton Leykin, A. V. Mikhailov, V. S. Novikov, Jing Ping Wang, Jarmo Hietarinta, Anand Pillay

Sign In

Please sign in to access your account

Cancel

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 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 ×

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.
×