Topological Galois Theory Solvability and Unsolvability of Equations in Finite Terms By: Askold Khovanskii Publisher: Springer Print ISBN: 9783642388705, 3642388701 eText ISBN: 9783642388712, 364238871X Copyright year: 2014 Format: PDF Available from $ 99.00 USD SKU: 9783642388712 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. SKU: 9783642388705 Ebooks here: https://ebookscoffee.sellpass.io/products/Topological-Galois-Theory
