The Resource Topological Galois Theory : Solvability and Unsolvability of Equations in Finite Terms, by Askold Khovanskii, (electronic resource)
Topological Galois Theory : Solvability and Unsolvability of Equations in Finite Terms, by Askold Khovanskii, (electronic resource)
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The item Topological Galois Theory : Solvability and Unsolvability of Equations in Finite Terms, by Askold Khovanskii, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Topological Galois Theory : Solvability and Unsolvability of Equations in Finite Terms, by Askold Khovanskii, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 This book provides a detailed and largely selfcontained 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 PicardVessiot 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 Englishlanguage edition, extra material has been added (Appendices AD), the last two of which were written jointly with Yura Burda
 Language
 eng
 Extent
 XVIII, 307 p. 6 illus.
 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 PicardVessiot Theory
 4 Coverings and Galois Theory
 5 OneDimensional 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
 Isbn
 9783642388712
 Label
 Topological Galois Theory : Solvability and Unsolvability of Equations in Finite Terms
 Title
 Topological Galois Theory
 Title remainder
 Solvability and Unsolvability of Equations in Finite Terms
 Statement of responsibility
 by Askold Khovanskii
 Language
 eng
 Summary
 This book provides a detailed and largely selfcontained 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 PicardVessiot 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 Englishlanguage edition, extra material has been added (Appendices AD), the last two of which were written jointly with Yura Burda
 http://library.link/vocab/creatorName
 Khovanskii, Askold
 Image bit depth
 0
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink (Online service)
 Series statement
 Springer Monographs in Mathematics,
 http://library.link/vocab/subjectName

 Mathematics
 Algebra
 Field theory (Physics)
 Group theory
 Topological groups
 Lie groups
 Functions of complex variables
 Topology
 Label
 Topological Galois Theory : Solvability and Unsolvability of Equations in Finite Terms, by Askold Khovanskii, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 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 PicardVessiot Theory  4 Coverings and Galois Theory  5 OneDimensional 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
 Control code
 9783642388712
 Dimensions
 unknown
 Extent
 XVIII, 307 p. 6 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783642388712
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9783642388712
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1011956117
 Label
 Topological Galois Theory : Solvability and Unsolvability of Equations in Finite Terms, by Askold Khovanskii, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent.
 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 PicardVessiot Theory  4 Coverings and Galois Theory  5 OneDimensional 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
 Control code
 9783642388712
 Dimensions
 unknown
 Extent
 XVIII, 307 p. 6 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783642388712
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9783642388712
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1011956117
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/TopologicalGaloisTheorySolvabilityand/WjZXEmpVeS4/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/TopologicalGaloisTheorySolvabilityand/WjZXEmpVeS4/">Topological Galois Theory : Solvability and Unsolvability of Equations in Finite Terms, by Askold Khovanskii, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>