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Lecture Notes in Mathematics - 1666: Galois Theory of Difference Equations

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  • 196 stránok
  • 7 hodin čítania

Viac o knihe

This book lays the algebraic foundations of a Galois theory of linear difference equations and shows its relationship to the analytic problem of finding meromorphic functions asymptotic to formal solutions of difference equations. Classically, this latter question was attacked by Birkhoff and Tritzinsky and the present work corrects and greatly generalizes their contributions. In addition results are presented concerning the inverse problem in Galois theory, effective computation of Galois groups, algebraic properties of sequences, phenomena in positive characteristics, and q-difference equations. The book is aimed at advanced graduate researchers and researchers.

Nákup knihy

Lecture Notes in Mathematics - 1666: Galois Theory of Difference Equations, Marius van der Put, Michael F. Singer

Jazyk
Rok vydania
1997
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Titul
Lecture Notes in Mathematics - 1666: Galois Theory of Difference Equations
Jazyk
anglicky
Vydavateľ
Springer
Rok vydania
1997
Väzba
mäkká
Počet strán
196
ISBN10
3540632433
ISBN13
9783540632436
Série
Anotácia
This book lays the algebraic foundations of a Galois theory of linear difference equations and shows its relationship to the analytic problem of finding meromorphic functions asymptotic to formal solutions of difference equations. Classically, this latter question was attacked by Birkhoff and Tritzinsky and the present work corrects and greatly generalizes their contributions. In addition results are presented concerning the inverse problem in Galois theory, effective computation of Galois groups, algebraic properties of sequences, phenomena in positive characteristics, and q-difference equations. The book is aimed at advanced graduate researchers and researchers.