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...
This book provides a detailed and largely self-contained description of various classical and new results on solvability and unsolvability of equat...
This book offers a self-contained exposition of classical Galois theory and its applications to of solvability of algebraic equations, connects the theory with classification of coverings over a topological space, introduces topological Galois theory and more.
This book offers a self-contained exposition of classical Galois theory and its applications to of solvability of algebraic equations, connects the th...
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.
This book describes classic and new results on solvability and unsolvability of equations in explicit form, presenting the author's complete expositio...
