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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: Crespo, Teresa, 1955- Algebraic groups and differential Galois theory. Providence, Rhode Island : American Mathematical Society, ©2011 xiv, 225 pages |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Teresa Crespo; Zbigniew Hajto |

ISBN: | 9781470411831 1470411830 |

OCLC Number: | 908071199 |

Description: | 1 online resource (242 pages) : illustrations. |

Series Title: | Graduate studies in mathematics, volume 122. |

Responsibility: | Teresa Crespo, Zbigniew Hajto. |

### Abstract:

"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."--

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