| Differential Algebra and Related Topics II Contributor(s): Guo, Li (Author), Sit, William Y. (Author), Guo, Li (Editor) |
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ISBN: 9812833714 ISBN-13: 9789812833716 Publisher: World Scientific Publishing Company OUR PRICE: $102.60 Product Type: Hardcover - Other Formats Published: June 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Linear - Mathematics | Geometry - Algebraic - Mathematics | Combinatorics |
| Dewey: 512 |
| Physical Information: 150 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Differential algebra explores properties of solutions of systems of (ordinary or partial, linear or non-linear) 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. These proceedings consist of tutorial and survey papers presented at the Second International Workshop on Differential Algebra and Related Topics at Rutgers University, Newark in April 2007. As a sequel to the proceedings of the First International Workshop, this volume covers more related subjects, and provides a modern and introductory treatment to many facets of differential algebra, including surveys of known results, open problems, and new, emerging, directions of research. It is therefore an excellent companion and reference text for graduate students and researchers. |