Abel's Impossibility Theorem

In general, Polynomial equations higher than fourth degree are incapable of algebraic solution in terms of a finitenumber of Additions, Multiplications, and Rootextractions.

References

Abel, N. H. ``Beweis der Unmöglichkeit, algebraische Gleichungen von höheren Graden als dem vierten allgemein aufzulösen.'' J. reine angew. Math. 1, 65, 1826.

• Cauchy-Schwarz Sum Inequality
• Cauchy's Cosine Integral Formula
• Cauchy Sequence
• Cauchy's Formula
• Cauchy's Rigidity Theorem
• Cauchy Test
• Caustic
• Cavalieri's Principle
• Cayley Algebra
• Cayley-Bacharach Theorem
• Cayley Cubic
• Cayley Graph
• Cayley-Hamilton Theorem
• Cayleyian Curve
• Cayley-Klein-Hilbert Metric
• Cayley-Klein Parameters
• Cayley Number
• Cayley's Group Theorem
• Cayley's Hypergeometric Function Theorem
• Cayley's Ruled Surface
• Cayley's Sextic
• Cayley's Sextic Evolute
• Cayley Tree
• C-Curve
• C-Determinant