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Topological Galois Theory: Solvability and Unsolvability of Equations in Finite Terms
Paperback
Series: Springer Monographs in Mathematics
ISBN13: 9783662506028
Publisher: Springer Nature
Published: Aug 23 2016
Pages: 307
Weight: 1.01
Height: 0.69 Width: 6.14 Depth: 9.21
Language: English
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.
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