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Imaginary number  Wikipedia
An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by its property i 2 = −1. The square of an imaginary number bi is −b 2.For example, 5i is an imaginary number, and its square is −25.Zero is considered to be both real and imaginary. Originally coined in the 17th century as a derogatory term and regarded as ...
Imaginary Number  from Wolfram MathWorld
Imaginary Number. Although Descartes originally used the term "imaginary number" to refer to what is today known as a complex number, in standard usage today, "imaginary number" means a complex number that has zero real part (i.e., such that ).For clarity, such numbers are perhaps best referred to as purely imaginary numbers.. A (purely) imaginary number can be written as a real number ...
A Visual, Intuitive Guide to Imaginary Numbers ...
Imaginary numbers always confused me. Like understanding e, most explanations fell into one of two categories:. It’s a mathematical abstraction, and the equations work out. Deal with it. It’s used in advanced physics, trust us.
Imaginary Numbers  Friesian School
Imaginary Numbers. We have shown the symbol a to be void of meaning, or rather selfcontradictory and absurd.. Augustus De Morgan (18061871), Professor of Mathemtics, University College, London, 1831
Imaginary unit  Wikipedia
The imaginary unit or unit imaginary number (i) is a solution to the quadratic equation x 2 + 1 = 0.Although there is no real number with this property, i can be used to extend the real numbers to what are called complex numbers, using addition and multiplication.A simple example of the use of i in a complex number is 2 + 3i.. Imaginary numbers are an important mathematical concept, which ...
Complex Numbers: Introduction  Purplemath
Introduces the imaginary number 'i', and demonstrates how to simplify expressions involving the square roots of negative numbers. Warns about a common trick question.
Imaginary (NonReal) and Complex Numbers – She Loves Math
You can also put complex expressions in the graphing calculator: (Note that the complex conjugate that we used to simplify a denominator with an imaginary number in it is similar to the radical conjugate we learned about here in the Introduction to Quadratics section.) Quadratic Formula with Complex Solutions. Now let’s solve a quadratic equation that has complex (imaginary) solutions.
Complex numbers  Algebra II  Math  Khan Academy
Learn about complex numbers and how to add, subtract, and multiply them. This will come in useful when working with polynomials.
Simplifying roots of negative numbers (video)  Khan Academy
Sal simplifies √(52) as 2i√(13). We're asked to simplify the principal square root of negative 52. And we're going to assume, because we have a negative 52 here inside of the radical, that this is the principal branch of the complex square root function.
xkcd: e to the pi times i
This work is licensed under a Creative Commons AttributionNonCommercial 2.5 License. This means you're free to copy and share these comics (but not to sell them). More details..
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