DIFFERENTIAL ALGEBRA: SURVEYS, METHODS AND APPLICATIONS

This volume brings together tutorial and survey papers covering many facets of differential algebra, offering modern and accessible introductions to key topics, including established results, open problems, and emerging research directions. It serves as a valuable reference for graduate students and researchers entering or working in the field.Differential algebra explores properties of solutions of systems of ordinary and partial differential equations from an algebraic point of view. It includes algebraic systems as well as differential systems with algebraic constraints. Originating in the work of Joseph F Ritt and Ellis R Kolchin, the subject has been enriched through interactions with algebraic geometry, Diophantine geometry, differential geometry, model theory, control theory, automatic theorem proving, combinatorics, and difference equations. Differential algebra also plays an important role in computational methods such as symbolic integration and symmetry analysis of differential equations.