Math Mornings at Yale: Patterns and Fractals in Numbers скачать в хорошем качестве

Math Mornings at Yale: Patterns and Fractals in Numbers

Math Mornings is a series of public lectures aimed at bringing the joy and variety of mathematics to students and their families. Speakers from Yale and elsewhere talk about aspects of mathematics that they find fascinating or useful. The talks will usually be accessible to students from 7th grade and up, although occasionally some familiarity with high-school subjects will be helpful. Math Mornings lectures will take place on three Sundays each semester, at Davies Auditorium, 10 Hillhouse Avenue. Math Mornings is partially funded by grants from the National Science Foundation. It is part of Yale's Science Outreach program. To find out more see http://yale.edu/scienceoutreach On Sunday, November 17, Amanda Folsom gave her talk, "Patterns and Fractals in Numbers." There are five ways to break down the number 4 as a sum of positive whole numbers: 4 = 3 + 1 = 2+2 = 2 + 1 + 1 = 1 + 1 + 1 + 1 so we say there are five "partitions" of 4. This looks easy, right? Not so fast! Can you write down or count the partitions of 10? 100? 1000? Can you see any patterns? In this talk we'll see how this seemingly easy business of adding and counting has led to some very beautiful and very difficult problems and ideas in mathematics and number theory. Come find out how "1 + 1 = 2" has fascinated mathematicians for centuries.