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

By: Contributor(s): Resource type: Ressourcentyp: BuchBookLanguage: English Series: Graduate studies in mathematics ; 122Publisher: Providence, RI : American Mathematical Society, 2011Description: XIV, 225 S. : graph. DarstISBN:
  • 9780821853184
Subject(s): Additional physical formats: 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 classification:
  • QA247.4
Summary: "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."--Summary: "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
Holdings
Item type Home library Shelving location Call number Status Barcode
Freihandbestand ausleihbar Fachbibliothek Mathematik Bibliothek / frei aufgestellt Algebr. / Cre Available 36502989090
Total holds: 0
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