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Topological Galois Theory

Solvability and Unsolvability of Equations in Finite Terms

Springer Berlin,
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This book describes classic and new results on solvability and unsolvability of equations in explicit form, presenting the author's complete exposition of topological Galois theory, plus basics of the Picard-Vessiot theory and a great deal more.

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Titel: Topological Galois Theory
Autoren/Herausgeber: Askold Khovanskii
Übersetzer: Vladlen Timorin, Valentina Kiritchenko, Lucy Kadets
Aus der Reihe: Springer Monographs in Mathematics
Ausgabe: Softcover reprint of the original 1st ed. 2014

ISBN/EAN: 9783662506028
Originaltitel: Topologicheskaya Teoriya Galua
Originalsprache: Russisch

Seitenzahl: 307
Format: 23,5 x 15,5 cm
Produktform: Taschenbuch/Softcover
Gewicht: 504 g
Sprache: Englisch

Askold Khovanskii is a Professor of Mathematics at the University of Toronto, and a principal researcher at the RAS Institute for Systems Analysis (Moscow, Russia). He is a founder of topological Galois theory and the author of fundamental results in this area.

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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