By Fritz Schwarz
After an introductory bankruptcy, the ebook offers the mathematical starting place of linear differential equations, protecting Loewy's concept and Janet bases. the next chapters current effects from the speculation of continuing teams of a 2-D manifold and talk about the shut relation among Lie's symmetry research and the equivalence challenge. The center chapters of the e-book determine the symmetry sessions to which quasilinear equations of order or 3 belong and remodel those equations to canonical shape. the ultimate chapters clear up the canonical equations and bring the overall options each time attainable in addition to offer concluding feedback. The appendices include ideas to chose routines, important formulae, houses of beliefs of monomials, Loewy decompositions, symmetries for equations from Kamke's assortment, and a quick description of the software program approach ALLTYPES for fixing concrete algebraic problems.
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Extra resources for Algorithmic Lie Theory for Solving Ordinary Differential Equations (Chapman & Hall/CRC Pure and Applied Mathematics)
Algorithmic Lie Theory for Solving Ordinary Differential Equations (Chapman & Hall/CRC Pure and Applied Mathematics) by Fritz Schwarz