Algebraic groups and differential Galois theory / Teresa Crespo; Zbigniew Hajto

Von:

Crespo, Teresa, 1955- [aut]

Mitwirkende(r):

Hajto, Zbigniew, 1955- [aut]

Resource type: Ressourcentyp: BuchBuchSprache: Englisch Reihen: Graduate studies in mathematics ; 122Verlag: Providence, RI : American Mathematical Society, 2011Beschreibung: XIV, 225 S. : graph. DarstISBN:

9780821853184

Schlagwörter:

Andere physische Formen: Online-Ausg.: Algebraic groups and differential Galois theory. Providence, Rhode Island : American Mathematical Society, 2011. 1 Online-Ressource (xiv, 225 Seiten)MSC: MSC: *12-01 | 12H05 | 13B05 | 14A05 | 17B45 | 20G15 | 34M35 | 12H20 | 14L35RVK: RVK: SK 240 | SK 260 | SK 200LOC-Klassifikation:

QA247.4

Zusammenfassung: "Differential Galois theory has seen intense research activity during the last decades in several directions: elaboration of more general theories, computational aspects, model theoretic approaches, applications to classical and quantum mechanics as well as to other mathematical areas such as number theory. This book intends to introduce the reader to this subject by presenting Picard-Vessiot theory, i.e. Galois theory of linear differential equations, in a self-contained way. The needed prerequisites from algebraic geometry and algebraic groups are contained in the first two parts of the book. The third part includes Picard-Vessiot extensions, the fundamental theorem of Picard-Vessiot theory, solvability by quadratures, Fuchsian equations, monodromy group and Kovacic's algorithm. Over one hundred exercises will help to assimilate the concepts and to introduce the reader to some topics beyond the scope of this book."--Zusammenfassung: "Differential Galois theory has seen intense research activity during the last decades in several directions: elaboration of more general theories, computational aspects, model theoretic approaches, applications to classical and quantum mechanics as well as to other mathematical areas such as number theory. This book intends to introduce the reader to this subject by presenting Picard-Vessiot theory, i.e. Galois theory of linear differential equations, in a self-contained way. The needed prerequisites from algebraic geometry and algebraic groups are contained in the first two parts of the book. The third part includes Picard-Vessiot extensions, the fundamental theorem of Picard-Vessiot theory, solvability by quadratures, Fuchsian equations, monodromy group and Kovacic's algorithm. Over one hundred exercises will help to assimilate the concepts and to introduce the reader to some topics beyond the scope of this book."--Publisher's descriptionPPN: PPN: 638297834

Exemplare ( 1 )

Exemplare
Medientyp	Heimatbibliothek	Standort	Signatur	Status	Fälligkeitsdatum	Barcode	Vormerkungen
Freihandbestand ausleihbar	Fachbibliothek Mathematik	Bibliothek / frei aufgestellt	Algebr. / Cre	Verfügbar		36502989090

Anzahl Vormerkungen: 0