Monthly Archives: August 2012

Extracurricular Mathematics II: Electric Boogaloo

John von Neumann, a major contributor in the field of mathematics, once told one of his students, “…in mathematics you don’t understand things. You just get used to them.”  This is sometimes how I’ve felt during my first two years of advanced education in Mathematics.  I also think I have  gained an understanding of some advanced topics in Real Analysis, Abstract Algebra and Algebraic Number Theory, and Measure Theory, thus increasing by a little bit my understanding of Mathematics.  But certainly I have had to get used to the above topics and mathematical concepts before I could fully understand and appreciate them.

I’ve managed to get through four sections (out of 12 or 13) of my summer book, \underline{\textrm{Primes of the Form}\,x^2 + ny^2}.  I’ve gotten slowly used to the concepts presented in these first four sections: quadratic forms, the form class group, and genus theory.  I also have come to some understanding of these concepts.  But I’ve also hit a wall in Section Five.

The main topic introduced in Section Five is class field theory.  However, in the presentation of this topic, the reader is assumed to be familiar with – or used to – Galois Theory.  Apparently, Galois Theory was developed to find solutions of polynomials of degree three or higher.  I have enough background to understand the basic definitions of Galois Theory, but I will need some time to get used to Galois Theory.  My summer book also came due at the library, so I think mine was a good stopping point.  Thus my summer project has given birth to a side project.

Leave a comment

Filed under Mathematics

Citizen Journalist!

I had some extra time today, so I meandered over to the Oxnard Chic-fil-a.  Let me share what I saw.

Line outside Chic-fil-a; cars waiting at the drive-thru

I spent some time simply entering the parking lot and navigating to a parking space.  At 1:40 this afternoon, there were about 100 people lined up outside the doors; 25 cars were lined up at the drive-thru.  Hand-held American flags were prominently displayed by some of the would-be patrons waiting outside.  There were no picket signs or cries of protest, just people waiting to eat and talking amongst themselves.  I did notice a “I Don’t Believe the Liberal Media,” bumper sticker, but this was the only “controversial” item I saw amongst the crowd.

There were a few curious people like myself snapping pictures, mostly with smart phones, although one fellow had a tripod.  I did engage in one editorial.  A man with a smart phone engaged me with a short statement about how Chic-fil-a has a right to their beliefs and the freedom to express them.  I agreed, but I told him that I wasn’t interested in waiting in the hour-long line to eat there today.  I had already eaten.

Leave a comment

Filed under Politics and culture