Number Theory/Irrational, Rational, Algebraic, And Transcendental Numbers

Number Theory/Irrational Rational and Transcendental Numbers Rational numbers can be expressed as the ratio of two integers and expressed as . In set notation: Irrational numbers are those real numbers contained in but not in , where denotes the set of real numbers. In set notation: Algebraic numbers (sometimes denoted by ) are those numbers which are roots of polynomial equations with rational coefficients (an equivalent formulation using integer coefficients exists). In math terms: Transcendental numbers are those numbers which are Real (), but are not Algebraic (). In set notation: