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Galois theory of linear differential equations

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  • 478 stron
  • 17 godzin czytania

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Linear differential equations form the central topic of this volume, Galois theory being the unifying theme. A large number of aspects are presented: algebraic theory especially differential Galois theory, formal theory, classification, algorithms to decide solvability in finite terms, monodromy and Hilbert's 21st problem, asymptotics and summability, the inverse problem and linear differential equations in positive characteristic. The appendices aim to help the reader with concepts used, from algebraic geometry, linear algebraic groups, sheaves, and tannakian categories that are used. This volume will become a standard reference for all mathematicians in this area of mathematics, including graduate students.

Zakup książki

Galois theory of linear differential equations, Marius van der Put

Język
Rok wydania
2003
Oprawa
(twarda)
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Tytuł
Galois theory of linear differential equations
Język
angielski
Wydawca
Springer
Rok wydania
2003
Oprawa
twarda
Liczba stron
478
ISBN10
3540442286
ISBN13
9783540442288
Seria
Tagi
Ocena
4 z 5
Opis
Linear differential equations form the central topic of this volume, Galois theory being the unifying theme. A large number of aspects are presented: algebraic theory especially differential Galois theory, formal theory, classification, algorithms to decide solvability in finite terms, monodromy and Hilbert's 21st problem, asymptotics and summability, the inverse problem and linear differential equations in positive characteristic. The appendices aim to help the reader with concepts used, from algebraic geometry, linear algebraic groups, sheaves, and tannakian categories that are used. This volume will become a standard reference for all mathematicians in this area of mathematics, including graduate students.