algebras
Symbol manipulation frameworks
Algebras is the plural of algebra, referring to multiple algebraic systems or branches of algebraic study.
In mathematics, different algebras have distinct rules and structures: Boolean algebras deal with logical operations, linear algebras with vector spaces, Lie algebras with symmetry.
The course covered several algebras, from elementary to abstract.
Arranged in straight succession
- abstractCondensed version of text
- commutativeOrder of terms irrelevant
- associativeConnecting by relationship
- matricesRectangular numerical arrangements
equations · variables · polynomials · structures · rings · fields · groups · vectors
Depiction or likeness
- operatorOne who works machinery
- tensorMultilinear algebraic object
- gradedAssigned a score
- universalAffecting all equally
Clifford · enveloping · quotient · derivations · modules · categories · ideals
Finite instruction sequences
- programmingWriting software instructions
- symbolicRepresenting through signs
- MATLABMatrix-focused computing platform
- MathematicaComputational software system
software · libraries · numerical · computing · packages · solvers · implementations · calculations
linear
Arranged in straight succession
- abstractCondensed version of text
- commutativeOrder of terms irrelevant
- associativeConnecting by relationship
matrices · equations · variables · polynomials · structures · rings · fields · groups · vectors · operations
representation
Depiction or likeness
Clifford · universal · enveloping · quotient · derivations · modules · categories · ideals
algorithms
Finite instruction sequences
- programmingWriting software instructions
- symbolicRepresenting through signs
- MATLABMatrix-focused computing platform
Mathematica · software · libraries · numerical · computing · packages · solvers · implementations · calculations · simulations
coursework
Student academic tasks
- homeworkStudent assignments for outside class
- textbookAcademic subject manual
- curriculumEducational program's content plan
students · classroom · problems · exercises · formulas · tests · exams · tutoring · prerequisites · grades
- algebravariables, equations, equation, polynomials, roots
- formal logicformula, postulate, quantifiers, axiom, variable
- ring theoryrings, Noetherian rings, ideal, ideals, quotient ring
algebrasgeometries
Mathematical studies of shape
geometry · Euclidean geometry · plane geometry · solid geometry · arithmetic
algebrasarithmetic
Mathematics of basic operations
computation · number crunching · approximation · applied mathematics
- algebraic expressionsMathematical phrases with variables
- algebraic equationMathematical equality using variables
- linear algebraMathematics of vector spaces
- simple algebraMath using variables and constants
- algebra teacherOne who explains equations
- college algebraFirst university math course