Differential algebra and related topics : proceedings of the International Workshop, Newark Campus of Rutgers, the State University of New Jersey, 2-3 November 2000 /

Differential algebra and related topics : proceedings of the International Workshop, Newark Campus of Rutgers, the State University of New Jersey, 2-3 November 2000 /

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Bibliographic Details
Imprint:River Edge, NJ : World Scientific, ©2002.
Description:1 online resource (xiii, 305 pages) : illustrations
Language:English
Subject:
Differential algebra -- Congresses.
Differential algebra.
Conference papers and proceedings.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11156552
Hidden Bibliographic Details
Varying Form of Title:Proceedings of the International Workshop, Newark Campus of Rutgers, The State University of New Jersey, 2-3 November
Other authors / contributors:Guo, Li, 1960-
ISBN:9789812778437
9812778438
9810247036
9789810247034
Notes:Includes bibliographical references (pages 303-305).
Print version record.
Summary:Differential algebra explores properties of solutions to systems of (ordinary or partial, linear or nonlinear) differential equations from an algebraic point of view. It includes as special cases algebraic systems as well as differential systems with algebraic constraints. This algebraic theory of Joseph F. Ritt and Ellis R. Kolchin is further enriched by its interactions with algebraic geometry, Diophantine geometry, differential geometry, model theory, control theory, automatic theorem proving, combinatorics, and difference equations. Differential algebra now plays an important role in computational methods such as symbolic integration, and symmetry analysis of differential equations. This volume includes tutorial and survey papers presented at workshop.
Other form:Print version: Differential algebra and related topics. River Edge, NJ : World Scientific, ©2002 9810247036 9789810247034
Table of Contents:
  • The Ritt-Kolchin theory for differential polynomials / William Y. Sit
  • Differential schemes / Jerald J. Kovacic
  • Differential algebra
  • a scheme theory approach / Henri Gillet
  • Model theory and differential algebra / Thomas Scanlon
  • Inverse differential Galois theory / Andy R. Magid
  • Differential Galois theory, universal rings and universal groups / Marius van der Put
  • Cyclic vectors / Richard C. Churchill and Jerald J. Kovacic
  • Differential algebraic techniques in Hamiltonian dynamics / Richard C. Churchill
  • Moving frames and differential algebra / Elizabeth L. Mansfield
  • Baxter algebras and differential algebras / Li Guo.

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