Algebra

Algebra#

Resources#

https://math.okstate.edu/people/binegar/3613/3613-l14.pdf

https://www.math.wustl.edu/~wright/Math109/M&MCh08.pdf

https://www.math.toronto.edu/fiona/courses/mat240/field.pdf

YouTube#

3Blue1Brown

  • [ y ] 2017 3Blue1Brown. “Euler’s formula with introductory group theory”.

  • [ y ] 2020 3Blue1Brown. “Group theory, abstraction, and the 196,883-dimensional monster”.

freeCodeCamp

  • [ y ] 01-23-2023 freeCodeCamp. “College Algebra - Full Course with Python Code”.

  • [ y ] 08-04-2020 freeCodeCamp. “Precalculus Course”.

  • [ y ] 07-24-2020 freeCodeCamp. “College Algebra - Full Course”.

[ y ] Richard E Borcherds

  • [ y ] 07-06-2020 Richard E Borcherds. “Group theory”.

more

  • [ y ] 10-05-2019 Geek’s Lesson. “Algebra for Beginners | Basics of Algebra”.

  • [ y ] 05-26-2020 mathman1024. “College Algebra (new)”.

  • [ y ] 04-07-2020 mathman1024. “College Algebra (old)”.

  • [ y ] 01-22-2014. David Petro. “Richard Feynman talks about Algebra”.

Figures#

  • [ w ] 1802-1829 Abel, Niels

  • [ w ] 1904-2008 Cartan, Henri

  • [ w ] 1909-1984 Chevalley, Claude

  • [ w ] 1831-1916 Dedekind, Richard

  • [ w ] 1903-1968 Delsarte, Jean

  • [ w ] 1906-1992 Dieudonné, Jean

  • [ w ] 1809-1880 Peirce, Benjamin

  • [ w ] 1906-1998 Weil, André

Terms#

  • [ w ] Abelian Group

  • [ w ] Abstract Algebra

  • [ w ] Additive Identity

  • [ w ] Additive Inverse

  • [ w ] Algebra

  • [ w ] Algebra (over a field)

  • [ w ] Algebraic Fraction

  • [ w ] Algebraic Logic

  • [ w ] Algebraic Solution

  • [ w ] Algebraic Structure

  • [ w ] Associativity

  • [ w ] Associativity (operator)

  • [ w ] Bijection (one-to-one Correspondence)

  • [ w ] bijection, injection, surjection

  • [ w ] Binary Relation

  • [ w ] Boolean Algebra

  • [ w ] Boolean Algebra (structure)

  • [ w ] Boolean Domain

  • [ w ] Codomain

  • [ w ] Commensurability

  • [ w ] Commutative Algebra

  • [ w ] Commutative Ring

  • [ w ] Commutativity

  • [ w ] Composition of Relations

  • [ w ] Computer Algebra

  • [ w ] Congruence Relation

  • [ w ] Constant Function

  • [ w ] Converse Relation

  • [ w ] Cubic Equation

  • [ w ] Dedekind Cut

  • [ w ] Denominator

  • [ w ] Distributivity

  • [ w ] Division Ring

  • [ w ] Domain

  • [ w ] Elementary Algebra

  • [ w ] Equation

  • [ w ] Equation Solving

  • [ w ] Equipollence

  • [ w ] Equivalence Relation

  • [ w ] Euclidean Domain

  • [ w ] Expression

  • [ w ] Field

  • [ w ] Finitary Relation

  • [ w ] Fraction

  • [ w ] Function

  • [ w ] Function Composition

  • [ w ] Function Restriction

  • [ w ] Fundamental Theorem of Algebra

  • [ w ] GF(2)

  • [ w ] Group

  • [ w ] Homogeneous Relation

  • [ w ] Ideal

  • [ w ] Ideal Theory

  • [ w ] Idempotency

  • [ w ] Identity Element

  • [ w ] Image

  • [ w ] Injection (one-to-one)

  • [ w ] Integer

  • [ w ] Inverse Element

  • [ w ] Irrational Number

  • [ w ] Irreducible Fraction

  • [ w ] Magma

  • [ w ] Map

  • [ w ] Mathematical Structure

  • [ w ] Module

  • [ w ] Monoid

  • [ w ] Multiplicative Inverse

  • [ w ] Nicolas Bourbaki

  • [ w ] Nilpotency

  • [ w ] Noncommutative Ring

  • [ w ] Numerator

  • [ w ] Operand

  • [ w ] Operation

  • [ w ] Operation, Binary

  • [ w ] Operation, Unary

  • [ w ] Operator

  • [ w ] Partial Function

  • [ w ] Pre Image

  • [ w ] Proportionality

  • [ w ] Quadratic Equation

  • [ w ] Quartic Equation

  • [ w ] Range

  • [ w ] Ratio

  • [ w ] Rational Number

  • [ w ] Real Number

  • [ w ] Real Number, construction

  • [ w ] Reflexive Relation

  • [ w ] Relation

  • [ w ] Relation (database)

  • [ w ] Relation Algebra

  • [ w ] Relational Algebra

  • [ w ] Ring Theory

  • [ w ] Rng

  • [ w ] Semi Group

  • [ w ] Semi Group, cases

  • [ w ] Semi Group with three elements

  • [ w ] Surjection (onto)

  • [ w ] Symmetric Relation

  • [ w ] Theory of Equations

  • [ w ] Transformation

  • [ w ] Transitive Relation

  • [ w ] Two-Element Boolean Algebra

  • [ w ] Unit

  • [ w ] Universal Algebra

  • [ w ] Vector Space

  • [ w ] Zero Divisor

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