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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.


History of Complex Numbers (also known as History of Imaginary Numbers or the History of i) For school, I had to do a paper on the History of i (and the history of complex numbers in general). Finding this a tedious task, and scrolling through many useless sights, I wished that there were just one sight that had everything I needed on it.


Imaginary Numbers are not "Imaginary" Imaginary Numbers were once thought to be impossible, and so they were called "Imaginary" (to make fun of them). But then people researched them more and discovered they were actually useful and important because they filled a gap in mathematics ... but the "imaginary" name has stuck.


The first use or effort of using imaginary number [1] dates back to [math]50[/math] AD. Heron of Alexandria [2] , while studying the volume of an impossible pyramid came upon an expression [math]\sqrt{81–114}[/math]. However, he deemed it was impo...


The square root of a nonpositive real number is an "imaginary number." While an imaginary number can be added to a real number to create a complex number, such numbers were considered of no value, and early mathematicians were slow to adopt their use. In fact, the term "imaginary number" was meant to be derogatory.


Imaginary Numbers - History and Commentary Date: 09/04/97 at 23:19:43 From: Howard Engel Subject: "i" I have just discovered Dr. Math, as the result of a mention of the page in the Los Angeles Times this week. I think it useful to youngsters through grade 12. I have some comments to add to your presentation on imaginary numbers.


In fact, we can pick any combination of real and imaginary numbers and make a triangle. The angle becomes the “angle of rotation”. A complex number is the fancy name for numbers with both real and imaginary parts. They’re written a + bi, where. a is the real part; b is the imaginary part; Not too bad.


A Short History of Complex Numbers Orlando Merino University of Rhode Island January, 2006 Abstract This is a compilation of historical information from various sources, about the number i = √ −1. The information has been put together for students of Complex Analysis who


Imaginary numbers are said to be first discovered by Heron of Alexandria who was a Greek mathematician. Although later, the laws of imaginary numbers were first written out by Rafael Bombelli in 1572.


Subsequently, in 1572, the mathematician Rafael Bombelli published his treatise on algebra, which expounded the nature of imaginary numbers in splendid detail. This made him a central figure in the understanding of complex numbers. Complex numbers are a combination of both real and imaginary numbers.