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Focusing on Lie's theory, this book introduces methods for solving differential equations, exploring concepts like Loewy's theory and Janet bases. It delves into the symmetry analysis of quasilinear equations, categorizing them and transforming them into canonical forms for solution. The text also addresses equivalence problems and provides general solutions where feasible. Additionally, appendices feature selected exercise solutions and essential formulae, while a dedicated website offers software for complex algebraic calculations.
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Algorithmic Lie Theory for Solving Ordinary Differential Equations, Fritz Schwarz
- Language
- Released
- 2007
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- (Hardcover)
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- Title
- Algorithmic Lie Theory for Solving Ordinary Differential Equations
- Language
- English
- Authors
- Fritz Schwarz
- Publisher
- CRC Press
- Released
- 2007
- Format
- Hardcover
- Pages
- 448
- ISBN13
- 9781584888895
- Category
- Mathematics, Computers, IT, Programming
- Description
- Focusing on Lie's theory, this book introduces methods for solving differential equations, exploring concepts like Loewy's theory and Janet bases. It delves into the symmetry analysis of quasilinear equations, categorizing them and transforming them into canonical forms for solution. The text also addresses equivalence problems and provides general solutions where feasible. Additionally, appendices feature selected exercise solutions and essential formulae, while a dedicated website offers software for complex algebraic calculations.