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

Resource Information

The work Topological Galois Theory : Solvability and Unsolvability of Equations in Finite Terms represents a distinct intellectual or artistic creation found in European University Institute. This resource is a combination of several types including: Work, Language Material, Books.

Label

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

Title remainder

Solvability and Unsolvability of Equations in Finite Terms

Statement of responsibility

by Askold Khovanskii

Creator

• Khovanskii, Askold

Contributor

• SpringerLink (Online service)

Author

• Khovanskii, Askold

Subject

• Functions of complex variables
• Group theory
• Lie groups
• Mathematics
• Topological groups
• Topology
• Algebra
• Field theory (Physics)

Language

eng

Summary

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

Member of

• Springer Monographs in Mathematics,
• Springer eBooks, Mathematics and Statistics Collection

Image bit depth

0

Literary form

non fiction

Series statement

Springer Monographs in Mathematics,