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March 2010
Tags

algebra

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Danielle Stretch looks back at the remarkable life of pioneering mathematician Emmy Amalie Noether (1882-1935). Despite her constant struggles to make her way in a man's world, she made significant contributions to the development of modern algebra.

Tags: women in mathematics : Emmy Noether : algebra : ring : ideal : noether's theorem


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Groups are some of the most fundamental objects in maths. Take a system of interacting objects and strip it to the bone to see what makes it tick, and very often you're faced with a group. Colva Roney-Dougal takes us into their abstract world and puzzles over a game of Solitaire.

Tags: algebra : group theory


This issue of Plus is largely a matter of chance. We find an almighty coincidence and try to model it, explore whether statistical media headlines illuminate or mislead, and try to get our head around league tables. On a more certain note, we examine string theory, which many people think explains everything, look back at one of the greatest mathematical works ever written, and try to pin down the number five.

Tags: geometry : algebra : pythagoras' theorem : Zeno's paradoxes : golden ratio : Euclidean geometry : Euclid's Elements : hyperbolic geometry : irrational number : plus birthday : number system : Al-Khwarizmi


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In the fourth and final part of our series celebrating 300 years since Leonhard Euler's birth, we let Euler speak for himself. Chris Sangwin takes us through excerpts of Euler's algebra text book and finds that modern teaching could have something to learn from Euler's methods.

Tags: algebra : irrational number : quadratic equation : Euler : complex number : Euler year


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It's International Year of Astronomy and all eyes are on Galileo Galilei, whose astronomical observations 400 years ago revolutionised our understanding of the Universe. But few people know that Galileo wasn't the first to build a telescope and turn it on the stars. That honour falls to a little-known mathematician called Thomas Harriot, who excelled in many other ways too. Anna Faherty takes us on a tour of his work.

Tags: refraction : astronomy : algebra : snell's law : Kepler's conjecture : binary number


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Enormous is the right word: this theorem's proof spans over 10,000 pages in 500 journal articles and no-one today understands all its details. So what does the theorem say? Richard Elwes has a short and sweet introduction.

Tags: algebra : symmetry : group theory