Involution : The Formal Theory of Differential Equations and its Applications in Computer Algebra

As long as algebra and geometry proceeded along separate paths, their advance was slow and their applications limited. But when these sciences joined company they drew from each other fresh vitality and thenceforward marched on at rapid pace towards perfection Joseph L. Lagrange The theory of differ...

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Hlavní autor: Seiler, Werner M., 19..-
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Vydání:1st ed. 2010.
Edice:Algorithms and Computation in Mathematics 24
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Edition sous un autre format:• Involution, the formal theory of differential equations and its applications in computer algebra, Werner M. Seiler, Heidelberg, Springer, 2010, 1 vol. (XXII-650 p.), Algorithms and computation in mathematics, 978-3-642-01286-0
Obsah:
  • Formal Geometry of Differential Equations Involution I: Algebraic Theory Completion to Involution Structure Analysis of Polynomial Modules Involution II: Homological Theory Involution III: Differential Theory The Size of the Formal Solution Space Existence and Uniqueness of Solutions Linear Differential Equations Miscellaneous Algebra Differential Geometry