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    * Latest "Imaginary-Numbers" in the News * 

 

 
The (Imaginary) Numbers at the Edge of Reality  Quanta Magazine

Odd enough to potentially model the strangeness of the physical world, complex numbers with “imaginary” components are rooted in the familiar.

Meet The Four-Dimensional Numbers That Led to Modern Algebra  WIRED

Strange, long-forgotten numbers called quaternions are undergoing a revival in computer graphics, math, and physics.

The Octonion Math That Could Underpin Physics  Quanta Magazine

New findings are fueling an old suspicion that fundamental particles and forces spring from strange eight-part numbers called “octonions.”

'Grand unified theory of maths' nets Abel Prize  Nature.com

Robert Langlands' ideas unearthed connections within mathematics that have helped to solve centuries-old problems and aided researchers in disparate fields.

Seeing the Sublime in Mathematics  The Weekly Standard

David Stipp's short book, A Most Elegant Equation, aims to persuade the “math-averse” that “great mathematics is as provocative, beautiful, and deep as great ...

Mathematicians Skeptical of Supposed Million-Dollar Proof  Gizmodo

There are six outstanding math problems that, if solved, will net you a $1 million reward. On Monday, a highly regarded mathematician claimed in a lecture that ...

What Are Imaginary Numbers?  LiveScience.com

An imaginary number is a number that, when squared, has a negative result.

What Are Complex Numbers?  LiveScience.com

Complex numbers are numbers that consist of two parts — a real number and an imaginary number. They are the building blocks of more intricate math, such as ...

The Irish man who discovered quaternion algebra  Irish Times

This month 173 years ago, William Rowan Hamilton had his 'eureka' moment as he walked along the Royal Canal.

Imaginary AC Circuits Aren't Really Complex  Hackaday

If you have ever read advanced textbooks or papers about electronics, you may have been surprised to see the use of complex numbers used in the analysis of ...

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     Internet Search Results 

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 self-contradictory and absurd.. Augustus De Morgan (1806-1871), 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 (Non-Real) 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
If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

xkcd: e to the pi times i
This work is licensed under a Creative Commons Attribution-NonCommercial 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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