Theory Of Equations
In
mathematics
, the
theory of equations
comprises a major part of traditional
algebra
. Topics include
polynomials
,
algebraic equations
,
separation of roots
including
Sturm's theorem
, approximation of roots, and the application of
matrices
and
determinants
to the solving of equations. From the point of view of
abstract algebra
, the material is divided between
symmetric function
theory,
field theory
,
Galois theory
, and computational considerations including
numerical analysis
.
See also
equation solving
root-finding algorithm
list of polynomial topics
list of equations
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