Galois Theory of Difference Equations
โ Scribed by Marius van der Put, Michael F. Singer (auth.)
- Book ID
- 127421226
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 1 MB
- Edition
- 1
- Category
- Library
- City
- Berlin; New York
- ISBN
- 354069241X
- ISSN
- 0075-8434
No coin nor oath required. For personal study only.
โฆ Synopsis
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.
โฆ Subjects
Algebra
๐ SIMILAR VOLUMES
Galois' Theory of Algebraic Equations gives a detailed account of the development of the theory of algebraic equations, from its origins in ancient times to its completion by Galois in the nineteenth century. The main emphasis is placed on equations of at least the third degree, i.e. on the developm