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Week of April 14, 2007; Vol. 171, No. 15

Euler's Beautiful Equation

Julie J. Rehmeyer

"Gentlemen, that is surely true, it is absolutely paradoxical; we cannot understand it, and we don't know what it means. But we have proved it, and therefore we know it must be the truth." —Benjamin Pierce, a Harvard mathematician, after proving Euler's equation, e^(i(pi)) = –1, in a 19th-century lecture.

Sunday, April 15, is the 300th birthday of Leonhard Euler (pronounced "oiler"), one of the most important mathematicians ever to have lived. His works help form the foundation of nearly all areas of mathematics, including calculus, number theory, geometry, and applied math.

For the full article:

http://sciencenews.org/article.....thtrek.asp

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Questions to explore further this topic:

What are imaginary numbers?

http://www.mathsisfun.com/numb.....mbers.html

http://www.nhpr.org/node/12214

http://www.bbc.co.uk/radio4/sc.....ers4.shtml

http://www.bbc.co.uk/dna/h2g2/A316739

http://www.mathnstuff.com/math.....eimage.htm

http://staff.jccc.edu/swilson/.....umbers.htm

http://regentsprep.org/Regents.....ineLes.htm

http://mathforum.org/dr.math/faq/faq.imag.num.html

http://en.wikipedia.org/wiki/Imaginary_number

http://mathworld.wolfram.com/ImaginaryNumber.html

http://www.jimloy.com/algebra/imaginar.htm

Simplifying imaginary numbers

http://www.mathwarehouse.com/a.....lesson.php

What are complex numbers?

http://www.purplemath.com/modules/complex.htm

http://www.1728.com/compnum2.htm

History of complex numbers

http://people.bath.ac.uk/ma3dcp/history.html

http://rossroessler.tripod.com/

Do "Imaginary Numbers" Really Exist?

http://www.math.utoronto.ca/ma.....inary.html

Imaginary numbers in real life?

http://mathforum.org/library/d.....53606.html

http://mathforum.org/library/d.....53844.html

http://mathforum.org/library/d.....53879.html

http://mathforum.org/library/d.....55793.html

http://www.math.utoronto.ca/ma.....vance.html

Imaginary numbers and geometric algebra

http://www.mrao.cam.ac.uk/~cli.....intro.html

Imaginary numbers and trigonometry

http://staff.jccc.edu/swilson/.....ndtrig.htm

What is Euler's formula?

http://people.bath.ac.uk/ma3dcp/euler'sformula.html

Who is Leonhard Euler?

http://www-gap.dcs.st-and.ac.u.....Euler.html

GAMES

http://mathforum.org/johnandbetty/

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