Algebraic Theory of Differential Equations
$69.99 (C)
Part of London Mathematical Society Lecture Note Series
- Editors:
- Malcolm A. H. MacCallum, Queen Mary University of London
- Alexander V. Mikhailov, University of Leeds
- Date Published: January 2009
- availability: Available
- format: Paperback
- isbn: 9780521720083
$
69.99
(C)
Paperback
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.
-
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.
Read more- 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
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 ReviewsCustomer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: January 2009
- format: Paperback
- isbn: 9780521720083
- length: 248 pages
- dimensions: 228 x 152 x 13 mm
- weight: 0.35kg
- availability: Available
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.
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» 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 ×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.
×