1.

Record Nr.

UNINA990001619300403321

Autore

Benedict, Francis Gano

Titolo

The composition of the atmosphere with special reference to its oxygen content / Francis Gano Benedict

Pubbl/distr/stampa

Washington : Carnegie Insitution of Washington, 1912

Descrizione fisica

115 p. ; 25 cm

Disciplina

545

Locazione

FAGBC

Collocazione

60 545 B 5

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

2.

Record Nr.

UNINA9910146290203321

Autore

Put Marius van der <1941->

Titolo

Galois Theory of Difference Equations / / by Marius van der Put, Michael F. Singer

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1997

ISBN

3-540-69241-X

Edizione

[1st ed. 1997.]

Descrizione fisica

1 online resource (VIII, 188 p.)

Collana

Lecture Notes in Mathematics, , 1617-9692 ; ; 1666

Disciplina

512.3

Soggetti

Mathematical analysis

Algebra

Analysis

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

Picard-Vessiot rings -- Algorithms for difference equations -- The inverse problem for difference equations -- The ring S of sequences --



An excursion in positive characteristic -- Difference modules over  -- Classification and canonical forms -- Semi-regular difference equations -- Mild difference equations -- Examples of equations and galois groups -- Wild difference equations -- q-difference equations.

Sommario/riassunto

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.