Linked from

The 87 pages that link to Real number, each with the reason it gives.

• Complex numberNarrower topic: The real coefficient a is the real part of every complex number.

• Rational numberNarrower topic: The rational numbers form a dense subset of the real numbers.

• IntegerNarrower topic: Integers sit inside the real numbers alongside non-integer values.

• Set theoryBroader topic: Set constructions provide rigorous models of the real numbers.

• Exponential functionNarrower topic: The standard real exponential function takes real inputs and produces positive real outputs.

• Finite fieldCompared with: The real numbers illustrate an infinite field with an order, which finite fields cannot have.

• LogarithmRelated: Real logarithms usually take positive real inputs and produce real exponents.

• Natural numberNarrower topic: The real numbers form a broader system containing every natural number.

• Limit of a functionNarrower topic: Ordinary real-valued limits rely on the completeness of the real numbers.

• Absolute valueNarrower topic: Absolute value assigns a distance from zero to every real number.

• Cauchy sequenceRelated: Every Cauchy sequence of real numbers converges to a real number.

• ContinuityNarrower topic: Real-valued functions provide the standard setting for elementary continuity.

• Georg CantorRelated: The real numbers provide Cantor’s central example of an uncountable set.

• Real analysisNarrower topic: Real analysis takes these numbers as its domain and studies their completeness.

• CalculusNarrower topic: The real-number continuum supplies the values approached in limits and accumulated in integrals.

• QuaternionNarrower topic: Each quaternion coefficient is real.

• Irrational numberNarrower topic: Irrational numbers form part of the real numbers alongside rational numbers.

• Square rootNarrower topic: Real numbers contain the principal square roots of all nonnegative real numbers.

• SupremumRelated: Every nonempty real set bounded above has a real supremum.

• CardinalityRelated: Cantor's diagonal argument shows their cardinality exceeds that of the natural numbers.

• Cauchy criterionRelated: For real sequences, the criterion is equivalent to convergence in the real numbers.

• Normed vector spaceRelated: Real scalars are a common field over which norms and vector spaces are defined.

• Richard DedekindNarrower topic: Dedekind cuts provide one rigorous construction of the real-number system.

• Countable setCompared with: The real numbers cannot be listed in a sequence, unlike the rationals.

• Definite integralNarrower topic: Function values, interval endpoints, and integral values are commonly real numbers.

• Interval (mathematics)Narrower topic: Intervals are subsets of the real numbers, ordered along the number line.

• Limit of a sequenceNarrower topic: Real sequences converge within a complete number system, so Cauchy sequences have real limits.

• InequalityRelated: Most elementary inequalities compare real numbers or expressions taking real values.

• Polynomial rootRelated: Real roots are the roots visible as horizontal-axis intersections on standard real graphs.

• Complete metric spaceRelated: The usual metric makes the real numbers a central example of a complete space.

• p-adic numberCompared with: The real numbers use ordinary magnitude, unlike p-adic size based on divisibility.

• Algebraic closureCompared with: The real field is not algebraically closed because some real polynomials have no real roots.

• Differential calculusNarrower topic: Real-valued inputs and outputs form the standard setting for elementary differential calculus.

• FieldBroader topic: The real numbers provide the standard field for continuous mathematics.

• Cantor's diagonal argumentNarrower topic: The argument’s target is the full set of real numbers, not just a chosen list.

• Monotonic functionRelated: Real-valued monotonicity relies on the usual order of real inputs and outputs.

• Negative numberNarrower topic: Negative numbers form part of the real number system.

• Total orderRelated: The usual less-than-or-equal relation totally orders the real numbers.

• Complex conjugateBroader topic: Real numbers are exactly the complex numbers unchanged by conjugation.

• Complex multiplicationNarrower topic: Real numbers form the scalar components used to build complex numbers.

• Imaginary unitCompared with: No real number squares to −1, unlike the imaginary unit.

• Cardinal numberRelated: The reals have strictly greater cardinality than the natural numbers.

• Decimal expansionNarrower topic: Every real number has a decimal expansion, though some values have two equivalent expansions.

• Dedekind cutNarrower topic: Each Dedekind cut gives a construction of one real number.

• InfimumRelated: The real numbers provide familiar examples where bounded sets have infima.

• Infinite setBroader topic: They exemplify an uncountable infinite set, larger than the natural numbers.

• Integral calculusRelated: Real-valued limits and sums underpin the standard theory of integration.

• Mathematical analysisNarrower topic: Real numbers provide the continuum on which classical analysis defines limits and functions.

• Nonstandard analysisNarrower topic: The real numbers embed into the hyperreals as the standard values.

• ReciprocalNarrower topic: Every nonzero real number has a reciprocal that is also real.