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DIFFERENTIAL ALGEBRA AND RELATED TOPICS
Proceedings of the International Workshop
The State University of New Jersey 2 - 3 November 2000
edited by Li Guo, William F Keigher (Rutgers University, USA), Phyllis J Cassidy (Smith College, USA) & William Y Sit (City College of New York, USA)
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.
Contents:
- The Ritt–Kolchin Theory for Differential Polynomials (W Y Sit)
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Differential Schemes (J J Kovacic)
- Differential Algebra — A Scheme Theory Approach (H Gillet)
- Model Theory and Differential Algebra (T Scanlon)
- Inverse Differential Galois Theory (A R Magid)
- Differential Galois Theory, Universal Rings and Universal Groups (M van der Put)
- Cyclic Vectors (R C Churchill & J J Kovacic)
- Differential Algebraic Techniques in Hamiltonian Mechanics (R C Churchill)
- Moving Frames and Differential Algebra (E L Mansfield)
- Baxter Algebras and Differential Algebras (L Guo)
Readership: Graduate students, pure mathematicians, logicians, algebraic
geometers, applied mathematicians and physicists.
| 320pp |
Pub. date: Jun 2002 |
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