A history of numbers and some modular arithmetic Nicole Rosenfeld.

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Presentation transcript:

A history of numbers and some modular arithmetic Nicole Rosenfeld

Different Number systems One Two Two and one Two two’s Much

Put up your hands What would people have done in… Rome Dubai Beijing Washington Tokyo

Ways of writing/recording

From Egypt to Cornwall As I was going to St. Ives, I met a man with seven wives, Each wife had seven sacks, Each sack had seven cats, Each cat had seven kits: Kits, cats, sacks, and wives, How many were there going to St. Ives?

Zero

Why dividing by zero breaks maths

Modular arithmetic… what is it…?

How we can use it (solving problems) How can we tell that is not a square?

How we can use it (excitingly) Pisano

Finger counting challenge First I’ll show you Two challenges for the audience

Base 12

Some crazy systems Californian Yuki People and Charles XII of Sweden The Mayans and the French Negative bases

Is maths broken?