Outline of algebra

Branches

• Pre-algebra
• Elementary algebra
• Abstract algebra
• Linear algebra
• Universal algebra

  Algebraic equations

• Linear equation - algebraic equation of degree one.
• Polynomial equation - equation in which a polynomial is set equal to another polynomial.
• Transcendental equation - equation involving a transcendental function of one of its variables.
• Functional equation - equation in which the unknowns are functions rather than simple quantities.
• Differential equation - equation involving derivatives.
• Integral equation - equation involving integrals.
• Diophantine equation - equation where the unknowns are required to be integers.
• Polynomials
• Variables

  History

• History of algebra

  General algebra concepts

• Algebra -
• Fundamental theorem of algebra - states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. This includes polynomials with real coefficients, since every real number is a complex number with an imaginary part equal to zero.
• Linear equation - an algebraic equation with a degree of one
• Quadratic equation - an algebraic equation with a degree of two
• Cubic equation - an algebraic equation with a degree of three
• Quartic equation - an algebraic equation with a degree of four
• Quintic equation - an algebraic equation with a degree of five
• Polynomial -