Are there any numbers beyond complex numbers?
So if there were an abstraction “above” complex numbers and they were useful, it wouldn't matter how weird they are.
There is such a set called quaternions Quaternion - Wikipedia .
Quaternions are definitly useful, though not as useful as complex numbers.Oct 21, 2020.
Are there numbers beyond complex numbers?
Although there are other concepts of numbers that either go beyond complex numbers or include something other than complex numbers, we know that at least no other “numbers” are needed to solve polynomial equations.
The use of complex numbers pervades all of mathematics and its applications to science..
Is there anything beyond complex numbers?
The short answer is this: Yes, the complex numbers are closed for polynomials using the algebraic operations of addition, multiplication, subtraction, and division.
Yes, there are larger domains than the complex numbers, such as the quaternions and octonians..
Is there anything more than complex numbers?
The quaternions are an extension of the complex numbers, and the octonions are a further extension.
In a sense you pay a price for making these extensions, though.
The reals are ordered; the complex numbers are not ordered as a field because to be an ordered field the square of any value can't be negative.Oct 21, 2020.
Is there anything outside of complex numbers?
Yes, there are larger domains than the complex numbers, such as the quaternions and octonians..
