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Maths talks and workshops

  1. An infinitude of infinities
  2. From the Pythagorean theorem to $1 000 000
  3. The numbers in our daily lives

Theme: Mathematical Sciences

Content (of each talk):

  1. We explore the definition of infinity and work through Cantor's proof that there are different sizes of infinity
  2. The Pythagorean Theorem is one of the oldest theorems in mathematics, dating back thousands of years. In this talk, we start with the Pythagorean Theorem (and its proof) and consider variations on its theme that take us to Beal's Conjecture, as yet unresolved and with a $1 000 000 prize for its solution
  3. We are surrounded by numbers, some obvious and in plain sight, other less obvious or hidden. One example from antiquity is the golden ratio, beloved of architects and mathematicians, among others. In this talk, I'll highlight some of my favorite numbers (including the golden ratio) and explain the role they play in the world around us

Why this is important?

  1. Part of power of mathematics involves how we define concepts, which then defines what we can do with these concepts. The definition of infinity is a particularly interesting such definition.
  2. I think it's important to realize that mathematics is not all known, and it is fairly easy to state a question whose solution is not yet known, even starting from a very familiar result
  3. Numbers are everywhere, and we have the power to understand where they come from and what we can learn from them.

Key descriptors:

Suggested age range: 16 - 18 years old (so years 10+)


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