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

Werner M. Seiler
Publisher: 
Springer
Publication Date: 
2010
Number of Pages: 
650
Format: 
Hardcover
Series: 
Algorithms and Computation in Mathematics 24
Price: 
129.00
ISBN: 
9783642012860
Category: 
Monograph
We do not plan to review this book.

1 Introduction.- 2 Formal Geometry of Differential Equations.- 3 Involution I: Algebraic Theory.- 4 Completion to Involution.- 5 Structure Analysis of Polynomial Modules.- 6 Involution II: Homological Theory.- 7 Involution III: Differential Theory.- 8 The Size of the Formal Solution Space.- 9 Existence and Uniqueness of Solutions.- 10 Linear Differential Equations.- A Miscellaneous.- B Algebra.- C Differential Geometry.- References.- Glossary.- Index.

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