Topological Galois Theory: Solvability and Unsolvability of Equations in Finite Terms
Author:   Askold Khovanskii ,  Vladlen Timorin ,  Valentina Kiritchenko ,  Liudmyla Kadets
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   Softcover reprint of the original 1st ed. 2014
ISBN:  

9783662506028


Pages:   307
Publication Date:   23 August 2016
Format:   Paperback
Availability:   In Print   Availability explained
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Topological Galois Theory: Solvability and Unsolvability of Equations in Finite Terms


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Author:   Askold Khovanskii ,  Vladlen Timorin ,  Valentina Kiritchenko ,  Liudmyla Kadets
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 2014
Dimensions:   Width: 15.50cm , Height: 1.80cm , Length: 23.50cm
Weight:   4.978kg
ISBN:  

9783662506028


ISBN 10:   3662506025
Pages:   307
Publication Date:   23 August 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.
Language:   English

Table of Contents

Preface.- 1 Construction of Liouvillian Classes of Functions and Liouville’s Theory.- 2 Solvability of Algebraic Equations by Radicals and Galois Theory.- 3 Solvability and Picard–Vessiot Theory.- 4 Coverings and Galois Theory.- 5 One-Dimensional Topological Galois Theory.- 6 Solvability of Fuchsian Equations.- 7 Multidimensional Topological Galois Theory.- Appendix A: Straightedge and Compass Constructions.- Appendix B: Chebyshev Polynomials and Their Inverses.- Appendix C: Signatures of Branched Coverings and Solvability in Quadratures.- Appendix D: On an Algebraic Version of Hilbert’s 13th Problem.- References.

Reviews

This book offers the possibility to learn about the very interesting topological Galois theory, as well as to parallel it with the algebraic and differential Galois theories. It is very well-written and self-contained, making its reading really enjoyable. (Teresa Crespo, zbMATH 1331.12001, 2016)


“This book offers the possibility to learn about the very interesting topological Galois theory, as well as to parallel it with the algebraic and differential Galois theories. It is very well-written and self-contained, making its reading really enjoyable.” (Teresa Crespo, zbMATH 1331.12001, 2016)


Author Information

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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