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Galois theory of linear differential equations

By: Contributor(s): Material type: TextTextLanguage: English Publication details: New York: Springer Verlag, 2003.Description: xvii, 438pISBN:
  • 9783642629167
Subject(s): DDC classification:
  • 515.354 PUT-G
Summary: 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.
Item type: Books and Monographs
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Item type Current library Home library Call number Materials specified Status Date due Barcode
Books and Monographs Central Library, NIT Jalandhar General Stacks Central Library, NIT Jalandhar 515.354 PUT-G (Browse shelf(Opens below)) Available 101781
Books and Monographs Central Library, NIT Jalandhar General Stacks Central Library, NIT Jalandhar 515.354 PUT-G (Browse shelf(Opens below)) Available 101782

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.

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