Topological Galois Theory

Solvability and Unsolvability of Equations in Finite Terms

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Algebra
Cover of the book Topological Galois Theory by Askold Khovanskii, Springer Berlin Heidelberg
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Askold Khovanskii ISBN: 9783642388712
Publisher: Springer Berlin Heidelberg Publication: October 10, 2014
Imprint: Springer Language: English
Author: Askold Khovanskii
ISBN: 9783642388712
Publisher: Springer Berlin Heidelberg
Publication: October 10, 2014
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer Berlin Heidelberg

Cover of the book Transactions on Computational Science XXVI by Askold Khovanskii
Cover of the book Transgenic Crop Plants by Askold Khovanskii
Cover of the book Many-Body Approach to Electronic Excitations by Askold Khovanskii
Cover of the book Transactions on Large-Scale Data- and Knowledge-Centered Systems XL by Askold Khovanskii
Cover of the book Radiological Imaging of Sports Injuries by Askold Khovanskii
Cover of the book Proteins and Steroids in Early Pregnancy by Askold Khovanskii
Cover of the book Radiology of The Sella Turcica by Askold Khovanskii
Cover of the book Regulation of Aldosterone Biosynthesis by Askold Khovanskii
Cover of the book Moderne mathematische Methoden der Physik by Askold Khovanskii
Cover of the book Personalmarketing, Employer Branding und Mitarbeiterbindung by Askold Khovanskii
Cover of the book Theoretical Chemical Engineering by Askold Khovanskii
Cover of the book Common Commercial Policy after Lisbon by Askold Khovanskii
Cover of the book Der Experimentator Molekularbiologie / Genomics by Askold Khovanskii
Cover of the book Behavioral Neurogenetics by Askold Khovanskii
Cover of the book Genetik by Askold Khovanskii
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy