We'll discuss some mental "tricks" like multiplying two-digit numbers in your head. In fact, there are simple mathematical principles behind these tricks. Of course, one can potentially use these math tricks to annoy siblings, family, and friends (warning: this might also lead to loss of friends).
Magic of Mental Math: ways to annoy your siblings
Sep. 22, 2021 5pm (MATH 350)
Grad Student Seminar
Andrew Campbell (CU Boulder)
X
There are three analysis courses every graduate student in our department has to take. In Real Analysis 1 and 2 we study measures, Lebesgue integration, L^p-spaces, Hilbert spaces, Fourier series, and differentiation. In Complex Analysis 1 we study holomorphic functions, complex integration, the Cauchy-Riemann equations, Cauchy's integral formula, and all of its wonderful consequences/applications. It is easy for a graduate student to go through these courses and never really consider that besides several integral symbols and the word analysis these two tracks do not actually have much overlap. In this talk we will go through a brief review/introduction to some of the topics above, discuss why the study of holomorphic functions appears so different from other areas of analysis, and describe some of the many connections between the two subjects.
Party Hardy Spaces: An Introduction to Complex and Real Analysis