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Topological Galois Theory - Solvability and Unsolvability of Equations in Finite Terms (Hardcover, 2014 ed.)
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Topological Galois Theory - Solvability and Unsolvability of Equations in Finite Terms (Hardcover, 2014 ed.)
Series: Springer Monographs in Mathematics
Expected to ship within 10 - 15 working days
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This book provides a detailed and largely self-contained
description of various classical and new results on solvability and
unsolvability of equations in explicit form. In particular, it
offers a complete exposition of the relatively new area of
topological Galois theory, initiated by the author. Applications of
Galois theory to solvability of algebraic equations by radicals,
basics of Picard-Vessiot theory, and Liouville's results on the
class of functions representable by quadratures are also discussed.
A unique feature of this book is that recent results are presented
in the same elementary manner as classical Galois theory, which
will make the book useful and interesting to readers with varied
backgrounds in mathematics, from undergraduate students to
researchers. In this English-language edition, extra material has
been added (Appendices A-D), the last two of which were written
jointly with Yura Burda.
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