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.
Sprache
Verlagsort
Zielgruppe
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Maße
Höhe: 234 mm
Breite: 162 mm
Dicke: 22 mm
Gewicht
ISBN-13
978-981-02-4703-4 (9789810247034)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Herausgeber*in
Smith College, Usa
Rutgers Univ At Newark, Usa
Rutgers, The State Univ Of New Jersey, Usa
City College Of New York, Usa
The Ritt-Kolchin Theory for Differential Polynomials (W Y Sit); 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).
