KnowraEuler's identityLinked fromLinked fromThe 10 pages that link to Euler's identity, each with the reason it gives.All 10Broader topic 5Related 3Compared with 2Leonhard EulerBroader topic: It distills Euler’s connections among exponential functions, complex numbers, and trigonometry.Euler's formulaBroader topic: Setting θ to π produces this celebrated numerical relation.Complex exponentialBroader topic: It is the special angle π case of the complex exponential's trigonometric identity.PiRelated: It places pi in a compact relationship with exponential and complex-number operations.Lindemann–Weierstrass theoremRelated: It converts a special exponential value into an algebraic relation that proves π is transcendental.Johann BernoulliRelated: Euler’s later achievements illustrate the influence of Johann’s formative teaching.OneBroader topic: It places one in a celebrated equality linking exponential, trigonometric, and complex arithmetic.Gelfond–Schneider theoremCompared with: Its exponent involves an algebraic multiple of π, unlike the theorem’s algebraic exponent condition.Brahmagupta–Fibonacci identityCompared with: Its name is sometimes confused with Euler’s distinct four-square identity and this formula.Mathematical constantBroader topic: This identity displays how distinct constants combine in a compact mathematical relation.