Are there any real numbers that are NOT algebraic, i.e., expressible as the root of a non-zero polynomial with integer coefficients? In fact,...

Continue reading...# demonstration

## Computability of Real Numbers

We can write a computer program that will successively print out the digits of the decimal expansion of Pi. We...

Continue reading...## Fermat’s Last Theorem

There are lots of Pythagorean triples; triples of whole numbers which satisfy:x2 + y2 = z2. But are there any which satisfyxn + yn =...

Continue reading...## Projective Planes

Most of you know how to make a Mobius band—take a strip of paper and glue the ends with a...

Continue reading...## Birthday Problem

How many people do you need in a group to ensure at least a 50 percent probability that 2 people...

Continue reading...## Suspended Rope Trick

What is the shape of a suspended rope? Is there some function that describes it? Answer: it’s the cosh curve!...

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