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INFINITY:
You Can't Get There From Here
NUMBER:
What Is "How Many?"
STUDYING MATH:
Coping With Math Anxiety
Writing For A Math Class
VISUAL MATH:
The Mathematical Art of M.C. Escher
http://www.mathacademy.com/pr/minitext/
created by maths on 2008-06-11 22:41:54
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The Catalan numbers on nonnegative integers n are a set of numbers that arise in tree enumeration problems of the type, "In how many ways can a regular n-gon be divided into n-2 triangles if different orientations are counted separately?" (Euler's polygon division problem).
http://mathworld.wolfram.com/CatalanNumber.html
created by maths on 2008-06-05 06:55:39
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Re-interpreting the symbol X as an open parenthesis and Y as a close parenthesis, Cn counts the number of expressions containing n pairs of parentheses which are correctly matched:
http://en.wikipedia.org/wiki/Catalan_number
created by maths on 2008-06-05 06:54:53
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In mathematics, the Fibonacci numbers are a sequence of numbers named after Leonardo of Pisa, known as Fibonacci. Fibonacci's 1202 book Liber Abaci introduced the sequence to Western European mathematics, although the sequence had been previously described in Indian mathematics.[1
http://en.wikipedia.org/wiki/Fibonacci_number
created by maths on 2008-05-26 22:47:33
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The Fibonacci numbers give the number of pairs of rabbits n months after a single pair begins breeding (and newly born bunnies are assumed to begin breeding when they are two months old), as first described by Leonardo of Pisa (also known as Fibonacci) in his book Liber Abaci.
http://mathworld.wolfram.com/FibonacciNumber.html
created by maths on 2008-05-26 22:37:00
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All these puzzles except one (which??) have the Fibonacci numbers as their answers.
So now you have the puzzle and the answer - so what's left? Just the explanation of why the Fibonacci numbers are the answer - that's the real puzzle!!
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibon
created by maths on 2008-05-26 22:44:52
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This problem caught my attention, because it looks like a good example for using a result that I have derived last year. My result gives a reasonable sufficient condition for showing that a function distributes over the greatest common divisor and shows that the Fibonacci function satisfies the condition.
http://www.joaoff.com/2008/05/09/multiples-in-the-
created by maths on 2008-05-26 22:43:23
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Binomial Formulas
http://www.sosmath.com/tables/binomial/binomial.ht
created by maths on 2008-05-02 22:27:46
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Massachusetts Institute of Technology Course Notes 8
6.042J/18.062J, Fall 02: Mathematics for Computer Science
Professor Albert Meyer and Dr. Radhika Nagpal
Basic Counting, Pigeonholing, Permutations
http://ocw.mit.edu/NR/rdonlyres/Electrical-Enginee
created by maths on 2008-04-29 03:25:18
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The USA Mathematical Talent Search (USAMTS) is a free mathematics competition open to all United States middle and high school students. The USAMTS is primarily funded by the National Security Agency, which has funded the program since 1992.
Year 19 Round 4 is available now!
Click here for the Problems
Postmark Deadline: March 11, 2008
Join the Mailing List to stay informed about the USAMTS
As opposed to most mathematics competitions, the USAMTS allows students a full month to work out their solutions. Carefully written justifications are required for each problem. The problems range in difficulty from being within the reach of most high school students to challenging the best students in the nation. Students may use any materials - books, calculators, computers - but all the work must be their own. The USAMTS is run on the honor system - it is an individual competition, whose competitive role is very secondary. (Although we do give prizes.)
http://www.usamts.org/
created by maths on 2008-04-01 23:23:30
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