Buch, Englisch, 448 Seiten, Format (B × H): 155 mm x 231 mm, Gewicht: 612 g
Buch, Englisch, 448 Seiten, Format (B × H): 155 mm x 231 mm, Gewicht: 612 g
Reihe: Chapman & Hall/CRC Pure and Applied Mathematics
ISBN: 978-0-367-38854-6
Verlag: Taylor & Francis Ltd (Sales)
After an introductory chapter, the book provides the mathematical foundation of linear differential equations, covering Loewy's theory and Janet bases. The following chapters present results from the theory of continuous groups of a 2-D manifold and discuss the close relation between Lie's symmetry analysis and the equivalence problem. The core chapters of the book identify the symmetry classes to which quasilinear equations of order two or three belong and transform these equations to canonical form. The final chapters solve the canonical equations and produce the general solutions whenever possible as well as provide concluding remarks. The appendices contain solutions to selected exercises, useful formulae, properties of ideals of monomials, Loewy decompositions, symmetries for equations from Kamke's collection, and a brief description of the software system ALLTYPES for solving concrete algebraic problems.
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
Introduction. Linear Differential Equations. Lie Transformation Groups. Equivalence and Invariants of Differential Equations. Symmetries of Differential Equations. Transformation to Canonical Form. Solution Algorithms. Concluding Remarks. Appendices. References. Index.