Splash Biography
WILLIAM SIMON, ESP Teacher
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Major: Mathematics College/Employer: Princeton Year of Graduation: 2019 |
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Brief Biographical Sketch:
Not Available. Past Classes(Clicking a class title will bring you to the course's section of the corresponding course catalog)M387: Cardinality, Measure, and the Cantor Set in Splash Spring 2017 (Apr. 29, 2017)
This course will use bijective maps between sets to define an infinite set and introduce the concept of cardinality based on bijection with a subset of the natural numbers or lack thereof. We will discuss countable and uncountable sets, and show that a countable collection of countable sets is countable. We will introduce measure theory and show that any countable subset of the real line is of measure 0. We will then use these results to prove that the Cantor set is uncountable yet of measure 0.
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