About this book
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.
- DOI https://doi.org/10.1007/978-3-642-38871-2
- Copyright Information Springer-Verlag Berlin Heidelberg 2014
- Publisher Name Springer, Berlin, Heidelberg
- eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
- Print ISBN 978-3-642-38870-5
- Online ISBN 978-3-642-38871-2
- Series Print ISSN 1439-7382
- Series Online ISSN 2196-9922
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