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The origins of proof

Starting in this issue, PASS Maths is pleased to present a series of articles about proof and logical reasoning. In this article we give a brief introduction to deductive reasoning and take a look at one of the earliest known examples of mathematical proof.

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Mathematical Mysteries: Trisecting the Angle

Bisecting a given angle using only a pair of compasses and a straight edge is easy. But trisecting it - dividing it into three equal angles - is in most cases impossible. Why?
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Bang up a boomerang!

Here's how you can make your own cross-shaped boomerang - and it's safe enough to fly indoors! Hugh rolls up his sleeves and proves that theory isn't everything.
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Unspinning the boomerang

Unspinning the boomerang

In this article, we look at the physics behind the curved flight path of a returning boomerang, and explain that boomerangs are really a kind of gyroscope. We even show you how to bang up a boomerang yourself!

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Pilgrims, planes and postage stamps

Practical problems often have no exact mathematical solution, and we have to resort to using unusual techniques to solve them. From navigation in the 17th century to postage stamps, see how this principle applies to a variety of real-life problems - and also learn how to use a piece of string to locate a German bomber!

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Fields medals

In the film "Good Will Hunting", Matt Damon plays a poor janitor at the Massachusetts Institute of Technology who is a self-taught mathematical protégé, discovered by an established mathematician and Fields medal winner.  What exactly is a Fields medal?

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Why God plays dice

"God does not play dice" Albert Einstein once said. Since then the undisputable successes of the quantum theory have convinced all but a handful of contemporary physicists that God does indeed play dice. The question some  are now asking is why does God play dice?

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Mathematical mysteries: the three body problem

On June 25th 1998 the Solar and Heliospheric Observatory known as SOHO, a small spacecraft that monitors the sun, went missing. An error in the instructions given to it from ground control left it spinning out of control. However, there is a glimmer of hope.