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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)

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
Creator
Contributor
Author
Subject
Language
eng
Summary
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
Member of
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)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-642-38871-2
Instantiates
Publication
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 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
Control code
978-3-642-38871-2
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, non-commercial 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
10.1007/978-3-642-38871-2
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)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-642-38871-2
Publication
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 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
Control code
978-3-642-38871-2
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, non-commercial 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
10.1007/978-3-642-38871-2
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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