The Fundamental Theorem of Algebra
GPTKB entity
Statements (43)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:theorem
|
| gptkbp:applies_to |
polynomial equations
real coefficients polynomials |
| gptkbp:consequences |
the topology of the complex plane
|
| gptkbp:discovered_by |
gptkb:Carl_Friedrich_Gauss
|
| gptkbp:has_impact_on |
numerical methods
|
| gptkbp:has_method |
gptkb:historical_event
practical applications in engineering |
| https://www.w3.org/2000/01/rdf-schema#label |
The Fundamental Theorem of Algebra
|
| gptkbp:illustrated_by |
examples of quadratic equations
|
| gptkbp:is_a_basis_for |
further studies in mathematics
|
| gptkbp:is_a_framework_for |
modern algebra
the field of algebraic geometry |
| gptkbp:is_cited_in |
mathematical proofs
|
| gptkbp:is_connected_to |
gptkb:military_officer
algebra and analysis |
| gptkbp:is_critical_for |
the study of functions
|
| gptkbp:is_described_as |
roots of unity
|
| gptkbp:is_discussed_in |
mathematical literature
|
| gptkbp:is_documented_in |
other mathematical theorems
|
| gptkbp:is_essential_for |
complex numbers
solving polynomial equations the behavior of polynomials |
| gptkbp:is_explored_in |
advanced mathematics courses
|
| gptkbp:is_fundamental_to |
gptkb:Mathematician
|
| gptkbp:is_often_associated_with |
Algebra's Fundamental Theorem
the work of mathematicians throughout history |
| gptkbp:is_related_to |
complex analysis
the concept of continuity the degree of a polynomial |
| gptkbp:is_used_in |
gptkb:Mathematician
|
| gptkbp:key |
mathematical analysis
the theory of equations |
| gptkbp:notable_quote |
higher dimensions.
|
| gptkbp:resulted_in |
the interplay between algebra and geometry
|
| gptkbp:significance |
the study of polynomial functions
|
| gptkbp:state |
Every non-constant polynomial equation has at least one complex root.
|
| gptkbp:subject |
abstract algebra
mathematical education mathematical research |
| gptkbp:training |
undergraduate mathematics courses
|
| gptkbp:bfsParent |
gptkb:Carl_Friedrich_Gauss
|
| gptkbp:bfsLayer |
4
|