Showing posts with label odd. Show all posts
Showing posts with label odd. Show all posts

Friday, November 21, 2014

The Math Lady Sings

     One of my daily emails results from a Google Alert -- which I have set up to let me know of new web-postings (or old information newly accessed) that contain the terms "mathematics" and "poetry." (Another online delight comes when I Google "mathematics poetry" (or "math poetry") and browse the images that occur at the top of the list that Google offers.  What fun!)
     It is through a Google Alert notification that I learned of the poetry book It Ain't Over Till the Math Lady Sings by Michelle Whitehurst Goosby (Trafford, 2014).  This Math Lady was the subject of an article by Jennifer Calhoun in the Dotham Eagle (Dotham, AL)  -- and Calhoun put me in in touch with the poet who graciously offered permission for me to present one of her poems here.  Goosby is a teacher and the poem poses a number puzzle for readers to solve.

Five Naturals
Consecutively Odd  
by Michelle Whitehurst Goosby

Saturday, July 19, 2014

Mathematicians are not free to say . . .

The poetry of a mathematician is constrained by the definitions she knows from mathematics.  Even though all but one of the prime integers is odd, she cannot use the words "prime" and "odd" as if they are interchangeable.  She cannot use the words "rectangle" and "box" as synonyms.  But the ways that non-math poets dare to engage with math words can be delightful to mathematical ears and eyes.  For example:

       The Wasp on the Golden Section     by Katy Didden

Wednesday, July 16, 2014

Palindromes

     Palindromic numbers are not uncommon  -- recently (in the July 12 posting) power-of-eleven palindromes are mentioned.  Palindromic poems are more difficult to find but see, for example, the postings for October 6, 2010 and October 11, 2010.
     At a  recent Kensington Row Bookshop poetry reading, Hailey Leithauser revealed that all but one of the poems in her recent collection Swoop (Graywolf Press, 2014) contain a palindrome.  

And here are a couple of my favorite palindromic phrases:

(the impossible integer)
Never 
odd or 
even. 

(the mathematician's answer when she is offered cake)
  "I prefer pi."

Saturday, July 12, 2014

Prove It

After observing that

               1  =  1
and         1 + 3  =  4
and         1 + 3 + 5  =  9
and         1 + 3 + 5 + 7  =  16
and         1 + 3 + 5 + 7 + 9  =  25

it seems easy to conclude that, for any positive integer n, the sum of the first n odd integers is n2.

Thursday, February 7, 2013

Odd numbers are common

A few weeks ago, on Thursday January 17, Chicago poet Virginia Bell was one of the very fine poets who participated (along with me) at a reading in Takoma Park.  Bell (a former TP resident) paid tribute that evening to Anne Becker, one of her teachers, who also read -- and beautifully -- that evening.  (Many thanks are owed to Sara Daines and poet Martin FitzPatrick  who organize these monthly readings.) Although Bell did not read any mathy poems at the TP reading, I found this one in her new collection:

Odd Numbers     by Virginia Bell

Friday, May 27, 2011

Sunday, March 27, 2011

The Nightmare of an Unsolved Problem

Back in the 1980s when I first met the Collatz conjecture in a number theory textbook it was stated this way:
     Start with any whole number  n :
          If  n  is even, reduce it by half, obtaining  n/2.
          If n is odd, increase it by half and round up to the nearest whole number, obtaining  3n/2 + 1/2 = (3n+1)/2.   Collatz' conjecture asserts that, no matter what the starting number, iteration of this increase-decrease process will each time reach the number 1.   

Tuesday, October 26, 2010

A Lemma by Constance Reid

Constance Reid (1918-2010), died on October 14.  Sister of a mathematician (Julia Robinson), Reid wrote first about life in World War II factories that supported the war effort and then, later, several biographies (including one of her sister) and other books about mathematicsKenneth Rexroth's poem "A Lemma by Constance Reid" (offered below) is based on material appearing in Reid's popular book From Zero to Infinity:  What Makes Numbers Interesting (Thomas Y Crowell, 1955).  Reid is known for the enthusiasm and clarity with which she presented mathematical ideas--seeking to attract and to satisfy non-mathematical readers.