Seiler, Werner M.

Involution The Formal Theory of Differential Equations and its Applications in Computer Algebra / [electronic resource] : by Werner M. Seiler. - XXII, 650 p. 47 illus., 8 illus. in color. online resource. - Algorithms and Computation in Mathematics, 24 1431-1550 ; . - Algorithms and Computation in Mathematics, 24 .

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.

9783642012877

10.1007/978-3-642-01287-7 doi


Mathematics.
Computer science--Mathematics.
Algebra.
Commutative algebra.
Commutative rings.
Differential equations.
Partial differential equations.
Physics.
Mathematics.
Partial Differential Equations.
Ordinary Differential Equations.
Commutative Rings and Algebras.
Algebra.
Theoretical, Mathematical and Computational Physics.
Symbolic and Algebraic Manipulation.

QA370-380

515.353

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