Numbers for Christmas . . .

*
o n
t o p
g i v e
l i g h t
f r e e l y
f o r e v e r
a b u n d a n t
b r i l l i a n t
e v e r y w h e r e

LOVE MATH!

Christmas is coming and I have looked back to earlier posts for holiday greetings -- a version of the growing snowball poem above was first posted in 2012 and here, from 2010, is a Christmas verse that celebrates pi:

Euler formula poem

     Sometimes I try to write a poem that explains a mathematical concept -- it's a difficult task  My effort usually results in something that sounds more like a textbook paragraph than a poem.  And I was thereby hugely delighted (following a lead from Colm Mulcahy) to discover this poem by Grant Sanderson that has fun with a famous mathematical formula due to Euler:

e^iπ + 1 = 0     or, stated differently      e^iπ = -1

Euler Formula    by Grant Sanderson 

Famously
start with e,
raise to π
with an i,
we've been taught
by a lot
that you've got
minus one.

Songs of mathematics . . .

     Larry Lesser is a songwriter who uses lyrics for teaching as well as entertainment.  A varied sample of his creations for doing this are presented in his article "Mathematical lyrics;  noteworthy endeavours in education" found in the "Poetry and Mathematics / Special Issue" of the Journal of Mathematics and the Arts, March-June 2014).
     One of the article's enchanting items is a song for children -- "Circle Song" -- which Lesser has written to the familiar tune of "Twinkle, Twinkle, Little Star"; this lyric offers a way to remember critical formulas for a circle.

Circle Song     by Lawrence Mark Lesser

Take your finger 'round the jar:
Circumf'rence equals 2πr!  

Celebrate Pi -- write in Pilish

On 3/14/15 many of us will celebrate  π - day; for those who like to gaze on the digits of  π,  one hundred thousand of them are available here.  In honor of this upcoming special day I have composed a small stanza in Pilish (the language whose word-lengths follow the digits of  π ). 

3.  1  4  

Get a list,

 1  5  

I shout,

   9  2  6  5  3  5

Poetry Reading 1-11-15 at JMM in San Antonio

You are invited to a poetry reading 
sponsored by the Journal of Humanistic Mathematics

at the 2015 Joint Mathematics Meetings (JMM)

Gonzalez Convention Center   Room 205  San Antonio, Texas
Sunday, January 11, 2015, 5:30 - 7:00 p.m. 

     All poets who write of mathematics and all who are interested in mathematical poetry are invited. Join the gathering to share poems and to enjoy the company of like-minded poetic-math people!  The reading is sponsored by the Journal of Humanistic Mathematics  and will be hosted by Gizem Karaali and Larry Lesser.    
     Although last-minute decisions to participate are possible -- you may simply show up and sign up to read -- we invite and encourage poets to submit poetry (≤ 3 poems, ≤ 5 minutes) and a bio in advance, and, as a result, be listed on our printed program. Inquiries and submissions (by December 1, 2014) may be made to Gizem Karaali (gizem.karaali@pomona.edu).

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."

Ah, you are a mathematician

Thanks to Arturo Sangalli of the Writer's Union of Canada -- and fellow-participant in a recent Banff creativity conference --  who reminded me of this poem.  And thanks to Bill Dunham who has spread it widely by including it in The Mathematical Universe  (Wiley, 1997).  These brief stanzas were written in the early 1990s  when many of us kept our financial facts in checkbooks rather than online; still current, however, is the mistaken image of mathematicians as those whose task it is to keep numbers clean and orderly.

          Misunderstanding     by JoAnne Growney

          Ah, you are a mathematician,
              they say with admiration
              or scorn.    

Like advanced math?

One thing leads to another . .. . poet Amy Eisner connected me to mathematician Jordan Ellenberg who knew of Easy Math (Sarabande Books, 2013) by Lauren Shapiro -- and Lauren gave me permission to post her "Bent Syllogism."

 Bent Syllogism     by Lauren Shapiro

There was a pattern to the way the mythical beasts
flew over the dreary town, but we were too dreary
to understand it.  The psychologist, too, was in touch
with extraterrestrials, but she had to stand on the spire
of a church and wear 3-D glasses to see them. 

Love mathematics!

In the stanzas below, I have some fun with math terminology.  Hope you'll enjoy it too.

       Love!        by JoAnne Growney

       Love algebra!  Through variable numbers
       of factored afternoons and prime evenings,
       party in and out of your circle of associates,
       identify your identity,  meet your inverse.  

Kaplansky sings Kaplansky (and Pi)

     I first knew of mathematician Irving Kaplansky (1917-2006) through his monograph, Infinite Abelian Groups -- it was one of my texts for a graduate seminar (with Gene Levy) at the University of Oklahoma in the 1960s.  Later I knew Kaplansky as a songwriter, author of new lyrics for "That's Entertainment."  Kaplansky's adaptation, "That's Mathematics," dedicated to his former student, math-musician-songwriter Tom Lehrer, and to his daughter, singer Lucy Kaplansky, is given below.
      In 1999, in Science News, writer Ivars Peterson (now Director of Publications for the MAA -- Mathematical Association of America) wrote an article about Kaplansky's songwriting in which he mentions  his daughter, Lucy Kaplansky, a singer who frequently performs her father's songs.  A YouTube recording of Lucy singing "The Song of Pi" (in which there is a correspondence between musical notes and the first fourteen digits of pi) is available here.  (Lyrics for "The Song of  Pi" and information about the correspondence are available in Peterson's article.)

Celebrating a math-woman

I am continually searching for poems that feature past and current math-women.
When you find one (or create one) I will be glad to have you send it along.

The lunar crater L Herschel is named for astronomer Caroline Lucretia Herschel (1750-1848) -- and I have celebrated this math-woman earlier with two fine poems:  "Letter from Caroline Herschel" by Siv Cedering , and "Planetarium" by Adrienne Rich.  Now Herschel is the focus of a forthcoming book by poet Laura Long, The Eye of Caroline Herschel: A Life in Poems, (Finishing Line Press, 2013).  Here, from that collection, is "The Taste of Mathematics:  Caroline Herschel at 31" -- this poem also appears, along with a note about the full collection, in the July 2013 issue of The Journal of Humanistic Mathematics.  

Feynman Point poems

The Feynman Point is a sequence of six 9s that occurs in the decimal expansion of π -- these 9s are found in positions 762 - 767 following the decimal point.  When writing in Pilish (using word-lengths that correspond to digits of π), the Feynman Point offers a particular challenge since 9-letter words are infrequent.  I learned about the Feynman Point here.  AND I found a splendid database that makes the difficult task of choosing 6 9-letter words easily doable.   Here is my first Feynman Point poem:
 
      Scratchers sleepwalk --
      seriously screening sentences,
      slantwise.

Mike Keith's Pilish short story, Cadeic Cadenza, has this Feynman Point: 

What is not possible?

     It is impossible for a number to be greater than 2 if it is not greater than 1.  It is impossible to find a rational number whose square is 2.   Up to now it has not been possible to show that π is a normal number.  Mathematicians like the challenge of the impossible.  To challenge, to prove, to refute.
     In the poem below Chelsea Martin devises an entertaining web of circular reasoning to explore the impossibility of eating at MacDonald's.

McDonalds Is Impossible       by Chelsea Martin

Eating food from McDonald's is mathematically impossible.
Because before you can eat it, you have to order it.
And before you can order it, you have to decide what you want.
And before you can decide what you want, you have to read the menu.
And before you can read the menu, you have to be in front of the menu.
And before you can be in front of the menu, you have to wait in line.
And before you can wait in line, you have to drive to the restaurant.
And before you can drive to the restaurant, you have to get in your car.
And before you can get in your car, you have to put clothes on. 

Celebrate 3.14 with poems of Pi

     Soon this year's version of the date 3.14 will arrive.  Pi-day!
     At the 2012 Bridges Conference in Towson MD I had the opportunity to hear "Art of π," a presentation by Tatiana Bonch-Osmolovskaya that told of ways that the special number π has inspired artists and writers.  This blog has previously celebrated π -- for example on 6 September 2010 (featuring work by Kate Bush,  Robert Morgan and Wislawa Szymborska),  10 September 2010 (mnemonics for π, especially from Mike Keith) , 15 March, 2011,(a poem by Lana Hechtman Ayers)  27 November 2011 (a poem by Brian McCabe). 

Places to go, ideas to see

     Today I want to suggest interesting internet locations to visit.
     This first link leads to an hour-long documentary on YouTube on the life of Srinivasa Ramanujan (1887-1920). Prepared in 1987 for the commemoration of Ramanujan's 100th birthday, this documentary honors a mathematical genius from whom we continue, still in the 21st century, to learn.  Ramanujan was celebrated earlier in this blog, on 18 February 2011, with a poem by Jonathan Holden.
     I want also to direct you to a Scientific American Guest Blog posting on 9 February 2013 by Bob Grumman.  Since his first SA Guest Blog posting on 28 July 2012, Grumman has been offering, about once a month, his unique views on the intersections of mathematics and poetry.  Primarily interested in visual poetry, Grumman features his own work along with that of numerous other poets -- including e e cummings, Betsy Franco, Scott Helmes, Gerald Kaufman. and Kaz Maslanka.  The 9 February 2013 posting features work by California activist Karl Kempton -- and I offer a sample below to encourage you to visit the SA blog for more of Karl's interesting work. 

A chance encounter

     I invite you to celebrate the coming of the new year 2013 with a poem I like a lot.
     Alberta poet Alice Major produces poems that feel good in the mouth when you read them aloud.   As in "Locate the site," offered below.   From the repeated t's in her title and the c's in her epigraph to her closing lines with "accept / the guidance of whatever calculating god / has taken you in care," I hugely enjoy the vocal experience of reading Major's words; and that pleasure enhances their meaning.  That her terms often are mathy adds still more enjoyment.

Locate the site     by Alice Major

      To find a city, make a chance encounter

The plane sails in above the setter-coloured fields
swathed in concentric lines of harvest,
circle on square.  I find myself returning
to this place that wasn't home.

Pipher -- Math experiments, Pi

     'Tis a favorite project of mine

     A new value of pi to assign.

          I would fix it at 3

          For it's simpler, you see,

     Than 3 point 1  4  1  5  9.

Chatting about REAL numbers

The term "real number" confuses many who are not immersed in mathematics.  For these, to whom 1, 2, 3 and the other counting numbers seem most real, the identification of the real numbers as all infinite decimals (i.e., all numbers representable by points on a number line) seems at first to go beyond intuition.  But, upon further reflection, the idea of a number as "real" iff it can represent a distance on a line to the right or left of a central origin, 0, indeed seems reasonable.

Professor Fred Richman of Florida Atlantic University takes on the questions of computability and enumerability of the real numbers in his poem, "Dialogue Between Machine and Man":

How much for a digit of PI?

Scottish poet Brian McCabe writes playfully of numbers.  In the following poem he imagines an auction of the digits of π.

   Three Point One Four One Five Nine Two
   Six Five Three Five Eight Nine Seven Nine
   Three  Two Three Eight Four Six Two Six
       Four Three Three Eight Three Two
         Seven Nine Five Zero Two Eight             by Brian McCabe 

Two ways to compute 1/3

Here, from Betsy Devine and Joel E Cohen, is a "mathematical" limerick:  
     

An Integral Limerick