Several complex variables — The theory of functions of several complex variables is the branch of mathematics dealing with functions : f ( z1, z2, ..., zn ) on the space C n of n tuples of complex numbers. As in complex analysis, which is the case n = 1 but of a distinct… … Wikipedia
Complex dynamics — is the study of dynamical systems defined by iteration of functions on complex number spaces. Complex analytic dynamics is the study of the dynamics of specifically analytic functions. Contents 1 Techniques[1] 2 Parts 3 See also … Wikipedia
Complex analysis — Plot of the function f(x)=(x2 1)(x 2 i)2/(x2 + 2 + 2i). The hue represents the function argument, while the brightness represents the magnitude. Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch … Wikipedia
Complex geometry — In mathematics, complex geometry is the study of complex manifolds and functions of many complex variables. Application of transcendental methods to algebraic geometry falls in this category, together with more geometric chapters of complex… … Wikipedia
Complex differential equation — A complex differential equation is a differential equation whose solutions are functions of a complex variable. Constructing integrals involves choice of what path to take, which means singularities and branch points of the equation need to be… … Wikipedia
Complex analytic space — In mathematics, a complex analytic space is a generalization of a complex manifold which allows the presence of singularities. Complex analytic spaces are locally ringed spaces which are locally isomorphic to local model spaces, where a local… … Wikipedia
Complex number — A complex number can be visually represented as a pair of numbers forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the square root of –1. A complex… … Wikipedia
Complex plane — Geometric representation of z and its conjugate in the complex plane. The distance along the light blue line from the origin to the point z is the modulus or absolute value of z. The angle φ is the argument of z. In mathematics … Wikipedia
Complex multiplication — This article is about certain endomorphism rings. For information about multiplication of complex numbers, see complex numbers. In mathematics, complex multiplication is the theory of elliptic curves E that have an endomorphism ring larger than… … Wikipedia
Complex space — In mathematics, n dimensional complex space is a multi dimensional generalisation of the complex numbers, which have both real and imaginary parts or dimensions. The n dimensional complex space can be seen as n cartesian products of the complex… … Wikipedia
