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Source: Sports ranking methods, 1

Probably everyone has at least seen the Mandelbrot set in some form, as it’s a popular object of mathematical artists. Here’s a picture from Wikipedia: The formal definition is as follo…

It seems everyone’s heard of Pascal’s triangle. However, if you haven’t then it is an infinite triangle of integers with 1’s down each side and the inside numbers determined…

Problem: Optimally pack n unit circles into the smallest possible equilateral triangle. Let L(n) denote the length of the side of the smallest equilateral triangle in which n circles have been pack…

A perfect number is a positive integer that is equal to the sum of its proper positive divisors, that is, the sum of its positive divisors excluding the number itself. For example,  1 + 2 + 3 = 6 i…

In 1911, Otto Toeplitz asked the following question. Inscribed Square Problem: Does every plane simple closed curve contain all four vertices of some square? This question, also known as the square…

In 1937 Lothar Collatz proposed the 3n+1 conjecture (known by a long list of aliases), is stated as follows. First, we define the function $f$ on the set of positive integers: If the number \$…

Recall the Fibonacci numbers $F_n$ given by 1,1,2,3,5,8,13,21… There is no need to define them. You all know. Now take the Euler numbers (OEIS) $E_n$ 1,1,1,2,5,16,61,272… Th…

Source: Fibonacci times Euler

On Thursday, the first in a series of public discussions on scientific topics was put on by an organisation called Mass Interaction (the name comes from a statement by Richard Feynman that “a…

Source: The nature of infinity, 2

H. C. Chan, $\pi$ in terms of $\phi$: Some Recent Developments, Proceedings of the Twelfth International Conference in Fibonacci Numbers, (2010): 17-25. Read Pi in terms of Phi (Fib Conf 2006).

H. C. Chan, $\pi$ in terms of $\phi$, Fibonacci Quart. 44 (2006): 141–144. Read Pi in terms of phi.

H. C. Chan, More Formulas for $\pi$, Amer. Math. Monthly 113: 452-455. Read More formulas for Pi.

H. C. Chan, Machin-type formulas expressing $\pi$ in terms of $\phi$, Fibonacci Quart. 46/47 (2008/2009): 32–37 Read Pi via Machin.

This information, for undergraduate students, is hosted on the MAA website.

## Professional Mathematical Sciences organizations

In addition to the MAA, there are a variety of special professional mathematical sciences organizations:

The American Mathematical Association of Two-Year Colleges (AMATYC) is the only organization exclusively devoted to providing a national forum for the improvement of the instruction of the mathematics in the first two years of college.

The American Mathematical Society (AMS), through its programs and services, aims to promote mathematical research and its uses, strengthen mathematical education, and foster awareness and appreciation of mathematics and its connections to other disciplines and to everyday life.

The American Statistical Association (ASA) is a scientific and educational society founded to promote excellence in the application of statistical science.

The Association for Computing Machinery (ACM) is a professional organization whose main goal is advancing the skills of information technology professionals and students worldwide.

The Association for Women in Mathematics (AWM) is dedicated to encouraging women and girls in the mathematical sciences.

The Computing Research Organization (CRA) is an organization of academic departments of computer science and related fields whose mission is to strengthen research and education in computing, to expand opportunities for women and minorities, and to improve public understanding of the importance of computing.

The Institute for Operations Research and the Management Sciences (INFORMS) is a professional organization that helps practitioners apply scientific tools and methods to improve systems and operations and to assist in managerial decision making.

The National Association of Mathematians (NAM) promotes excellence in the mathematical sciences and the mathematical development of underrepresented minorities.

The National Council of Teachers of Mathematics (NCTM) serves the needs of mathematics teachers at all levels from elementary school teachers through college professors.

The Society for Industrial and Applied Mathematics (SIAM) promotes the development of the mathematical methods needed in a variety of applications areas.

The Society of Actuaries (SOA) has as its mission, to advance actuarial knowledge and to enhance the ability of actuaries to provide expert advice and relevant solutions for financial, business, and societal problems involving uncertain future events.

## Mathematics, M.S.

The University of West Florida Department of Mathematics and Statistics is proud to offer a synchronous, fully online masters degree in mathematics using Elluminate web conferencing software. Utilizing this free software, students can participate in graduate courses in real-time on their personal computers. Because of this real-time, interactive instruction, each student receives personal attention just like they would if they attended the class in our main campus in Pensacola, Fl. All the courses are offered after 4:00 p.m. Central Time. Course Schedule.

The Master of Science Mathematics program offers students who hold a bachelor’s degree in mathematics, statistics, or related fields an opportunity to broaden their knowledge in several fields of mathematics, statistics, and their applications. The M.S. Math program is designed for students seeking careers in science, business, industry, or government; for students who want to teach in high schools or at the community college level; or for students who plan to pursue doctoral studies. The M.S. Math program offered by the Department of Mathematics and Statistics permits students considerable flexibility in choosing courses. For example, students who want to seeking careers in financial/investment industries, banks, insurance companies, or government may choose more statistics courses that emphasize the use, adoption, and development of statistical methods and state-of-the-art computer technology in the analysis of data from problems in all fields of study. Go to web site for more information.

I just purchased two tickets to see The Dark Knight Rises! Considering my wife and I have not been to a movie theater since our daughter was born 16 months ago, we are both very excited to see this movie on the big screen!

 x,y = var('x,y') f1 = ((x/7)^2*sqrt((abs(abs(x)-3))/(abs(x)-3))+(y/3)^2*sqrt((abs(y+3*sqrt(33)/7)/(y+3*sqrt(33)/7)))-1) f2 = abs(x/2)-(3*sqrt(33)-7)/112*x^2-3+sqrt(1-(abs(abs(x)-2)-1)^2)-y f3 = 9*sqrt(abs((abs(x)-1)*(abs(x)-0.75))/((1-abs(x))*(abs(x)-0.75)))-8*abs(x)-y f4 = -y+3*abs(x)+0.75*sqrt(abs((abs(x)-0.75)*(abs(x)-0.5))/(-(abs(x)-0.75)*(abs(x)-0.5))) f5 = 2.25*sqrt(abs((x-0.5)*(x+0.5))/(-(x-0.5)*(x+0.5)))-y f6 = 6*sqrt(10)/7+(1.5-0.5*abs(x))*sqrt(abs(abs(x)-1)/(abs(x)-1))-6*sqrt(10)/14*sqrt(4-(abs(x)-1)^2)-y f=[f1,f2,f3,f4,f5,f6] num = 2000 sum([implicit_plot(g,(x,-8,8),(y,-5,5),plot_points=num)for g in f])