That's difficult to say. Rafael Bombelli defined an imaginary number in 1572, but Rene Descartes actually gave the term imaginary. Nobody seemed to have much use for them until the work of Euler and Gauss in the 1700's and 1800's. This information I got from the Wikipedia article on Imaginary Numbers.
Natural numbers Integers Rational numbers Real numbers Complex numbers
Mathematics, including prime numbers, is discovered, not invented.Systems and methods we use are invented, but concepts of relationships between objects governed by logic, such as the prime numbers are discovered and named. As such, a more appropriate question might be "Who discovered prime numbers?"Many have discovered prime numbers; the first is unknown to mankind.
Imaginary numbers are used in complex numbers that make some math simpler like electronics where there is a cycle frequency it makes the math much simpler to handle complex equations
The answer depends on the level of mathematics. With complex numbers, it is the squared magnitude of the binomial.
it was never discovered,its like asking who discovered sex
Natural numbers Integers Rational numbers Real numbers Complex numbers
Mathematics, including prime numbers, is discovered, not invented.Systems and methods we use are invented, but concepts of relationships between objects governed by logic, such as the prime numbers are discovered and named. As such, a more appropriate question might be "Who discovered prime numbers?"Many have discovered prime numbers; the first is unknown to mankind.
Imaginary numbers are used in complex numbers that make some math simpler like electronics where there is a cycle frequency it makes the math much simpler to handle complex equations
The complex roots of an equation is any solution to that equation which cannot be expressed in terms of real numbers. For example, the equation 0 = x² + 5 does not have any solution in real numbers. But in complex numbers, it has solutions.
For most school mathematics, negative numbers do not have square roots. This is because a negative number multiplied by itself is a negative times a negative and so is positive. When (if) you study advanced mathematics, you will learn that there is a solution and this falls within the realms of complex mathematics and imaginary numbers.
See the answer to the related question: 'How do you solve the power of an imaginary number?' (Link below)
The answer depends on the level of mathematics. With complex numbers, it is the squared magnitude of the binomial.
Abraham de Moivre made significant contributions to the field of mathematics, particularly in the areas of probability theory and trigonometry. He is best known for his work on the normal distribution and his formula for calculating the cosine of an angle in terms of complex numbers. De Moivre's theorem, which relates complex numbers to trigonometry, is still widely used in mathematics today.
it was never discovered,its like asking who discovered sex
Both. Some mammals and birds, and possibly other creatures, have a basic sense of arithmetic such as the conservation of numbers. To that extent mathematics is discovered. Many concepts of mathematics, even fairly advanced ones such as the Fibonacci sequence, do exist in nature but they had to be noticed and then identified. Sometimes, the concepts had to be made ideal. To illustrate what I mean: there can be no line in nature since a line can only have length and no width. It cannot exist except as a concept and in that sense it was created. There are, of course, mathematical concepts such as imaginary and complex numbers which are purely the work of human brains. Similarly, spaces with 4 or more dimensions are human creations. However, most of what we consider as mathematics, and study at schools and beyond was created.
Mathematics was not so much discovered as developed over time by many different sources and cultures.
As well as their use within mathematics, complex numbers have practical applications in many fields, including physics, chemistry, biology, economics, electrical engineering, and statistics.