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" Algebraic groups and differential Galois theory / "
Teresa Crespo, Zbigniew Hajto
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BL
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| Record Number
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587180
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| Doc. No
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b416399
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| Main Entry
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Crespo, Teresa,1955-
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| Title & Author
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Algebraic groups and differential Galois theory /\ Teresa Crespo, Zbigniew Hajto
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| Publication Statement
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Providence, R.I. :: American Mathematical Society,, c2011
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| Series Statement
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Graduate studies in mathematics ;; v. 122
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| Page. NO
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xiv, 225 p. :: ill. ;; 26 cm
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| ISBN
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9780821853184 (alk. paper)
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: 082185318X (alk. paper)
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| Bibliographies/Indexes
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Includes bibliographical references and index
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| Abstract
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"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 description
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| Subject
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Differential algebraic groups
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Galois theory
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Morphisms (Mathematics)
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| Dewey Classification
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515/.354
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| LC Classification
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QA247.4.C74 2011
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| Added Entry
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Hajto, Zbigniew
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