Sunday, April 3, 2011

Fun Facts

The symbols + and –, referring to addition and subtraction, first appeared in 1456 in an unpublished manuscript by the mathematician Johann Regiomontanus (a.k.a. Johann Müller). The plus symbol, as an abbreviation for the Latin et (and), was found earlier in a manuscript dated 1417; however, the downward stroke was not quite vertical.


In 1631, the multiplication symbol × was introduced by the English mathematician William Oughtred (1574–1660) in his book Keys to Mathematics, published in London. Incidentally, this Anglican minister is also famous for having invented the slide rule, which was used by generations of scientists and mathematicians. The slide rule’s doom in the mid-1970s, due to the pervasive influx of inexpensive pocket calculators, was rapid and unexpected.

Math Quotes #4

“Mathematics, rightly viewed, possesses not only truth, but supreme beauty — a beauty cold and austere, like that of sculpture”

(Bertrand Russell, Mysticism and Logic, 1918).


"In our private life as in our collective life there is no other truth than a statistical one."

-- Simone de Beauvoir



“We now know that there exist true propositions which we can never formally prove. What about propositions whose proofs require arguments beyond our capabilities? What about propositions whose proofs require millions of pages?
Or a million, million pages? Are there proofs that are possible, but beyondus?”

(Calvin Clawson, Mathematical Mysteries).

A palindromic prime formed from the reflected decimal expansion of π

314 1592653589 7932384626 4338334626 4832397985 3562951413



A good approximation of π

A good approximation of π is 43^(7/23)



Analogies and Metaphors to Explain Godel's Theorem

http://mathdl.maa.org/images/upload_library/22/Polya/00494925.di020701.02p0020k.pdf


Friday, April 1, 2011

Math articles in the New York Times by Steven Strogatz

http://opinionator.blogs.nytimes.com/category/steven-strogatz/


Letters Triangle

The letters represent different natural numbers under 100

A
B    C
D    E    F
G    H    I    J
K    L    M    N    O
P    Q    R    S    T    U



Each letter is the sum of the two natural numbers just below it.

What is each letter if C > B?