February 28: Infinities and Napier’s Bones

Advanced Series

Title: Infinities! (And Set Theory)

Speaker: Siddhartha Jayanti

Time & Date: 2pm-3pm Saturday February 28

Location: Princeton Public Library, teen room (3rd floor)

Abstract:

Have you ever wondered about infinity?  Did you know that there are different types of infinity and some are bigger than others?  This week I will be talking about some basic set theory, and Cardinal Infinities!  This topic is really fun for people with various degrees of background in math, as it does not require too much background in any specific field of math.  So, I hope that you all come out this Saturday and enjoy the talk!

Chili peppers: 2 out of 4.

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Recreational Series

Title: Napier’s Bones

Leader: Harini Subrahmanyam Fredrickson

Time & Date: 3:14pm – 4pm Saturday February 28

Location: Princeton Public Library, teen room (3rd floor)

Abstract: Come learn about Napier’s Bones, a calculating tool that was in common use for nearly three centuries!


Saturday February 14: P-adics and Napier’s Bones

Advanced Series

Title: Better Living Through Infinite Series: The p-Adics

Speaker: Roger Van Peski

Time & Date: 2pm-3pm Saturday February 14

Location: Princeton Public Library, teen room (3rd floor)

Abstract:

We’re going to talk a bit about a somewhat lesser-known cousin of the real numbers: the p-adics. These may be thought of as infinite geometric series of powers of a prime p, where we generously allow these series to retain their identity as independent ‘numbers’ rather than just throwing them away because they (often) diverge to infinity. Far from being a whimsical exercise in pretending things don’t diverge, they are actually extremely important in a wide variety of areas in math. They also have a lot of interesting properties—for instance, if two p-adic discs intersect at any point, one is contained in the other! We’ll define and discuss some of the fascinating ways in which the p-adic integers and p-adic rational numbers behave and their relation to the regular integers and rationals, as well as what being ‘cousin of the real numbers’ actually means in a rigorous sense.

Prerequisites: It will help if you’re comfortable working with infinite series, such as the geometric series you may have seen in precalculus or the variety of series in calculus.

Chili peppers: 3 out of 4.

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Recreational Series

Title: Napier’s Bones

Leader: Harini Subrahmanyam Fredrickson

Time & Date: 3:14pm – 4pm Saturday February 14

Location: Princeton Public Library, teen room (3rd floor)

Abstract: Come learn about Napier’s Bones, a calculating tool that was in common use for nearly three centuries!