What is life if it is not imbued with chance?
We often meet our girlfriend or boyfriend or soulmate by chance. Chance events affect our health, our employment and the course of our lives. We usually do not know when (or how) we will die. The weather and other forces of nature (earthquakes, volcanoes, tsunamis, drought, floods, bushfires, mudslides, avalanches, etc.) are also, to varying degrees, unpredictable. Your house may get burned, your car stolen, or you (or a friend) may be subject so some crime. On the positive side, you may win some lottery or event.
At the foundation of our universe, at its very structure, is probability. Sub-atomic ‘particles’ behave more like probability fields than what we would think of as solid matter or ‘energy.’ The more closely one looks at this world of the very, very small, the less certain one is of many things. The more we learn about one feature of a particle, the less we know of another. Heisenberg’s Uncertainly Theory underlies all of nuclear physics.
Some mathematicians choose to study our amazing world and the chance events of our lives. Their fascinating fields of study are called probability and statistics.
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Combinatorics (The Art of Counting) |
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Set Theory and Venn Diagrams |
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Probability |
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Statistics |
By far the best educator I have been subject to in my schooling life. Apart from showing me with the utmost clarity the many concepts of mathematics, Graeme has inspired me to better myself in everything that I do in school and in my life. His dedication to his craft is truly admirable, and this level of dedication to helping the student achieve is something that is extremely hard to find. If you’d want anyone on your side during HSC mathematics, it’d be Graeme.
Harry B (student, 2012)
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