The Grand Rapids Community College Mathematics Department will host its next Mathematics Seminar on Thursday, November 20, 3:00-4:00 PM in 104 Cook. Our speaker will be GRCC Mathematics Instructor Alejandro Saldivar. The title and abstract for Alejandro’s talk may be found below.
This seminar will focus on a result that appears to be impossible: How can there be a one-to-one correspondence between the points on a line segment and the points in a square that has that line segment as its base? Those who attend can expect to have their intuition challenged and will be exposed to ideas that are at once surprising, powerful and beautiful. This talk is intended for anybody who likes and enjoys mathematics for mathematics’ sake; of course, all are welcome.
Pop and cookies will be served at 2:45 PM.
A Quest to find a One-to-One and Onto function from the line segment [0,1] to the square plane region [0,1]x[0,1]
Many theorems in mathematics address the existence or non-existence of mathematical objects such as solutions to equations; however, finding an actual and precise mathematical object can be an exciting and, at times frustrating, quest. In this seminar we will talk about one-to-one and onto functions between sets, and the challenges involved in finding a one-to-one and onto function. Along the way, we will discuss decimals extensively.