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| Title Details: | |
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Applications |
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| Authors: |
Theohari-Apostolidi, Theodora Charalampous, Chara |
| Reviewer: |
Kontogeorgis, Aristeidis |
| Subject: | MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > FIELD THEORY AND POLYNOMIALS > FIELD EXTENSIONS MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > FIELD THEORY AND POLYNOMIALS > REAL AND COMPLEX FIELDS MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > FIELD THEORY AND POLYNOMIALS > GENERAL FIELD THEORY |
| Description: | |
| Abstract: |
In this chapter we use the tools of Galois Theory to answer the three problems we described in the first chapter. Namely, given a polynomial, we find a sufficient and necessary condition for when there exists an exact formula for the roots of the polynomial, i.e. the Galois Theorem. We also find a sufficient and necessary condition for a point on the real plane to be constructible with straightedge and compass. Finally,
we give an algebraic proof of the Fundamental Theorem of Algebra.
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| Linguistic Editors: |
Theochari Apostolidi, Theodora |
| Technical Editors: |
Karydis, Ioannis Charalampous, Chara |
| Graphic Editors: |
Charalampous, Chara |
| Type: |
Chapter |
| Creation Date: | 2015 |
| Item Details: | |
| License: |
Attribution – NonCommercial – NoDerivatives 4.0 International (CC BY-NC-ND 4.0) |
| Handle | http://hdl.handle.net/11419/735 |
| Bibliographic Reference: | Theohari-Apostolidi, T., & Charalampous, C. (2015). Applications [Chapter]. In Theohari-Apostolidi, T., & Charalampous, C. 2015. Galois Theory [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/735 |
| Language: |
Greek |
| Is Part of: |
Galois Theory |
| Version: |
v.1.2 |
| Publication Origin: |
Kallipos, Open Academic Editions |