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For example, in Western society the number 13 is regarded as unlucky, and "a ... Today, number systems are considered important special examples of much more .... If the real and imaginary part...

The Reference Frame: Why complex numbers are fundamental in ...


Aug 31, 2010 ... Complex numbers are fundamental for all predictions in modern science. .... A way to see why such things are useful is to imagine that the ..... scientific association and journal in 1837 by the Duke of Clarence, Ernest Augustus ...

An Imaginary Tale: The Story of - Princeton University Press


Description of the book An Imaginary Tale: The Story of √-1 by Nahin, P.J., ... for Best Professional/Scholarly Book in Mathematics, Association of American Publishers ... Today complex numbers have such widespread practical use--from electrical ... On such occasions, it would be most useful to have a copy of Paul Nahin's ...

Imaginary Numbers are Real | Galileo's Pendulum


Jun 9, 2012 ... Imaginary and complex numbers are handicapped by the name we gave them. ... made up, perhaps not useful; "complex" similarly seems to argue the numbers are too hard to use. ... In fact, today is the birthday of mathematician Caspar Wessel who characterized the complex plane. .... Science and Society.

The Magic of Complex Numbers - Communications and signal ...


The human idea of 'number' has evolved together with human society. ... N) are straightforward to accept, and they have been used for counting in many ... mathematicians were working on what is today known as the Fundamental Theorem of ...

Mathematical Ideas that Shaped the World


What different sorts of numbers caused problems for our ancestors? ... Early societies did not have many number words. .... Surprisingly, imaginary numbers became important in the race to solve the cubic, not in the solution of quadratics.

Euler - 18th Century Mathematics - The Story of Mathematics


Today, Euler is considered one of the greatest mathematicians of all time. ... the deep relationships between trigonometry, exponentials and complex numbers. ... of graph theory and presaged the important mathematical idea of topology.

Gauss - 19th Century Mathematics - The Story of Mathematics


Gauss gave the first clear exposition of complex numbers and of the ... books ever written, and which laid the foundations for modern number theory. Among ...

101 uses of a quadratic equation: Part II | plus.maths.org


Truly, quadratic equations lie at the heart of modern communications. ... A very important application is to find the stopping distance of a car travelling at a given ..... Using a combination of real and imaginary numbers, known as complex ...

Real-World Applications to Imaginary and Complex Numbers ...


Jul 20, 2012 ... Authenticate imaginary numbers through real-life applications in science, math, ... with complex numbers in association with electrical engineering. ... so let's put out a chair for him today; and, even if he's died in the meantime, ...

Helpful Resources

Electricity and Complex Numbers - Regents Exam Prep Center


Surprise! Complex numbers are not just a "math oddity" that only we crazy mathematicians enjoy. Since complex numbers provide a system for finding the roots ...

Math Forum - Ask Dr. Math Archives: Imaginary Numbers in Real Life


Imaginary Numbers in Real Life, a selection of answers from the Dr. Math archives: Applications of Imaginary Numbers: Where are imaginary numbers used today in real life, as in the work force or other areas that ... Why are they so important?

High School Imaginary/Complex Numbers - Math Forum


Complex Numbers: Graphing Functions with Imaginary Numbers [01/21/2003]: How can ... of complex numbers, like the square root of negative one, in our society today. ... Complex Numbers [3/18/1996]: Why are complex numbers important?

Q: What the heck are imaginary numbers, how are they useful, and ...


Dec 23, 2009 ... Sure, numbers (complex or otherwise) exist as concepts in our brains, but no numbers ever appear in the physical world. We can see 3 cats, ...

What are the applications of complex numbers? - Quora


It is likely the most useful and common transformation (linear or otherwise) in .... Complex numbers make 2D analytic geometry significantly simpler. ..... is the only tedious step, but directly evaluating it gives our final answer of 10922 10922 . .... What are examples of secular societies where people are living in harmony and ....