Complex variables
Encyclopedia
In mathematics
, the term complex variables may be taken to mean one of
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
, the term complex variables may be taken to mean one of
- Complex analysisComplex analysisComplex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers. It is useful in many branches of mathematics, including number theory and applied mathematics; as well as in physics,...
- Several complex variablesSeveral complex variablesThe theory of functions of several complex variables is the branch of mathematics dealing with functionson the space Cn of n-tuples of complex numbers...
- Quaternion variableQuaternion variableIn mathematics, a function of a quaternion variable is a function with domain and range in the quaternions H.The projections of a quaternion onto its scalar part or onto its vector part, as well as the modulus and versor functions, are examples that are basic to understanding quaternion structure...
- Motor variableMotor variableA function of a motor variable is a function with arguments and values in the split-complex number plane, much as functions of a complex variable involve ordinary complex numbers...
- Multicomplex numbers
- Hypercomplex numberHypercomplex numberIn mathematics, a hypercomplex number is a traditional term for an element of an algebra over a field where the field is the real numbers or the complex numbers. In the nineteenth century number systems called quaternions, tessarines, coquaternions, biquaternions, and octonions became established...
s - Tricomplex numberTricomplex numberIn mathematics, the tricomplex numbers are a three-dimensional hypercomplex number system developed by Silviu Olariu in his book Complex Numbers in n Dimensions .-Definition:...
s