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Topological Galois Theory: Solvability and Unsolvability of Equations in Finite Terms by Askold Khovanskii

Topological Galois Theory: Solvability and Unsolvability of Equations in Finite Terms

by Askold Khovanskii
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Book cover type: Paperback
  • ISBN13: 9783662506028
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 307
  • Original Price: EUR 129.99
  • Language: English
  • Edition: Softcover Repri
  • Item Weight: 468 grams
  • BISAC Subject(s): Algebra / Abstract, Mathematical Analysis, and Group Theory

From the Back Cover

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.

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.

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