An Introduction to the Analytic Theory of Numbers

Speaker: 

Mustafa Said

Institution: 

UC Irvine

Time: 

Wednesday, October 28, 2009 - 5:00pm

Location: 

RH 440R

I will start by giving a brief history of the subject and continue by presenting some important results in the field such as the "prime number theorem," and the mathematicians that contributed to these results. I will go on and give a very general discussion about the "Riemann Zeta Function," and discuss its importance in the field and mathematics in general. I will also touch upon some open problems such as the "Riemann Hypothesis," and "The Circle Problem." I will end my talk by discussing some recent and important results in the field such as the "Tao - Green" theorem on arithmetic progressions of prime numbers.

From Mars to Morphogen, a Journey in Applied Mathematics

Speaker: 

Professor Frederick Wan

Institution: 

UCI

Time: 

Wednesday, October 14, 2009 - 5:15pm

Location: 

RH 440R

Professor Fred Wan will describe some highlight of his 50 years long journey in applied mathematics research at four institutions. He will touch on scientific topics such as mechanics, economics, and the biology of Morphogens that guide tissue development.

How big is infinity?

Speaker: 

Professor Matt Foreman

Institution: 

UC Irvine

Time: 

Wednesday, April 8, 2009 - 5:00pm

Location: 

RH 594

Is infinity plus one equal to one plus infinity? What is infinity times
zero? Is infinity even a number? What are numbers anyway? Are there
different sizes of infinity? How does infinity come up in ordinary
mathematics? Do we need infinity to add real numbers?

I will survey these puzzles and give some rigorous answers.

Finite Markov Chains and the Casino Game Craps

Speaker: 

Chris O'Grain

Institution: 

UCI

Time: 

Wednesday, March 4, 2009 - 5:00pm

Location: 

RH 594

In any casino, the craps table often has the loudest and most excited crowd. This is because when the shooter wins, everyone wins. Its also because craps offers some of the best odds in the entire casino, giving players the best chance to win money. In this talk, the rules of craps will be explained. Also, the concept of markov chains will be introduced, and a finite markov chain will be used to model the game of craps.

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