Revision #512 → #1102 · back to history
addedComplex numbere63b2361aa8a
addedReal and imaginary parts8a2c265b87b9
addedComplex plane (Argand diagram)b1bb707a94fe
addedPurely imaginary number520de96e0c83
addedAddition of complex numbers06303230d81d
addedParallelogram rule for additionbe0b50134bb4
addedMultiplication of complex numbers173b398002aa
addedSample productbd39dd3a680b
addedComplex numbers form a fielda8ad76c01160
addedComplex conjugateb3b2d7b2d9d1
addedConjugation is an involutionb77546f80947
addedReal iff equals conjugate5528ea52d934
addedAbsolute value (modulus)a8f7c0ac68e2
addedModulus as distancea5f0e5bc1f01
addedReciprocal of a complex numbera9a1ef3942f2
addedDivision of complex numbersa592ea9f5954
addedArgument of a complex number594a5407a051
addedPrincipal value of argument415cce236c49
addedPolar form9ec4603f157f
addedProduct and quotient in polar form687c452cfba8
addedde Moivre's formula2c6b404fc4cf
addedn-th roots of a complex numberac9b82a0765c
addedFourth roots of 17961e6e450a3
addedFundamental theorem of algebrac6c96fe63494
addedC is algebraically closed52edd5e9c4ec
addedQuadratic extension definition of C213bb459f6d5
addedPolynomial ring R[X]3c99b7eeb3c7
addedQuotient ring isomorphism7928e8c7cfcb
addedMatrix representation of complex numbers471d6661dae1
addedRing isomorphism to matrix fieldd9dd3fcbde54
addedConvergence in Cf15b81a9f668
addedC is a complete metric spacea32fa14c716c
addedComplex exponential12ed3d525712
addedEuler's formula986e3d28a394
addedEuler's identityfb1a2f789416
addedComplex logarithm8d4099f91b57
addedPrincipal value of log5d04373797bd
addedComplex exponentiationdc4120dfc953
addedFailure of power identity7dd9cfbca228
addedComplex trigonometric and hyperbolic functions0a5906f9063b
addedHolomorphic function3ad8243baa7f
addedReal-differentiable but not complex-differentiablecc80093d4092
addedCauchy–Riemann characterization44e1f1a056c4
addedIdentity theorem006a475b50af
addedMeromorphic function981843ce3c0e
addedShape of a triangle99669362201d
addedMandelbrot set861d30a8d97f
addedJulia sets1c50036cd430
addedMarden's theorem926a5cc97378
addedAlgebraic numbers18cc5e0f958b
addedGaussian integers23877d40d4be
addedExistence of complex eigenvalues4ad74a3e9171
addedAlgebraic characterization of Cfca0bee69d50
addedTopological field characterization of C7c936f8b2419
addedCayley–Dickson construction24403da9d092
addedC is not an ordered fieldb6a6c925a07f
addedHurwitz's theorem on normed division algebras0b24c54f864a
addedOstrowski's theorem4dffb725acda
addedSplit-complex numbers25b890c4711b