By Fritz Schwarz
After an introductory bankruptcy, the publication presents the mathematical starting place of linear differential equations, overlaying Loewy's concept and Janet bases. the subsequent chapters current effects from the idea of continuing teams of a 2-D manifold and speak about the shut relation among Lie's symmetry research and the equivalence challenge. The middle chapters of the booklet establish the symmetry sessions to which quasilinear equations of order or 3 belong and remodel those equations to canonical shape. the ultimate chapters resolve the canonical equations and convey the overall ideas at any time when attainable in addition to supply concluding comments. The appendices comprise suggestions to chose routines, invaluable formulae, houses of beliefs of monomials, Loewy decompositions, symmetries for equations from Kamke's assortment, and a short description of the software program method ALLTYPES for fixing concrete algebraic problems.
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