Extraneous -- and so on

     Since my junior high math days, when I first heard the word "extraneous," I have loved the sound of it, the feel of my mouth when I say it, the mystery of how solving an equation can lead to extra solutions.   And then learning to check found-solutions to see if they were true solutions -- a process that has been multiply useful to me far afield from mathematics.
     My love for this math-word drew me quickly to the title of a poem by Alex Walsh, a high school student from Oberlin, Ohio, who presented her work at the poetry-with-math reading at JMM in Baltimore last Friday.   Here are her poems "Convergence" and "The Extraneous Solution" :

Word problems

       Scarcity:  Why Having Too Little Means So Much (a Times book by S. Mullainathan and E. Shafir, released last September) considers not only the facts but the feelings of scarcity and finds similarities between those those with too little time and those with too little money.  The authors report, further, that persons experiencing scarcity do not have the luxury of doing well in their studies -- of mathematics or poetry -- because the scarcity demands their first attention.
       And  . . . this connection between external environment and a student's learning brings me to a poem by Dian Sousa, a poem that gives us some things to think about.  

Poems and primes

Friday morning, 1-17-2014, looking north from the Baltimore Convention Center

       This past week I enjoyed Thursday and Friday at the Joint Mathematics Meetings at the Convention Center in Baltimore, a time for connecting with some old friends and making some new ones.  I gave a presentation in one of the sessions on the Intersection of Mathematics and the Arts, sharing poems -- such as Sherman Stein's "Mathematician" -- that can help non-maths to understand more clearly the nature of mathematics.  The handout for my talk contained a list of more than thirty poems that can help to communicate the nature of mathematics and it is available for download here. 

Poetry-with-math, Jan 17, Baltimore

Please join us!

 A Reading of Poetry with Mathematics

  Friday,  January 17, 2014   4:30 - 6:30 PM
 Room 308  Baltimore Convention Center 

At the national Joint Mathematics Meetings in Baltimore, the Journal of Humanistic Mathematics is sponsoring a poetry reading.  Following participation by these poets,who have submitted work in advance, there will be an open reading in which interested audience members will be invited to share their math-related poems.  Participating poets include: Gizem Karaali, Katharine Merow, Karen Morgan Ivy, Mary-Sherman Willis, Alex Walsh, Ted Theodosopoulos, Stephanie Strickland, Myra Sklarew, JoAnne Growney, E. Laura Golberg, Sandra DeLozier Coleman, Rosanna Iembo, and Irene Iaccarino (musician).

Sunrise gives

each  of  us

a shadow.

Writing mathy poems - a student activity

On the web-page of mathematician-poet Sarah Glaz I found a link to this file of math-related poems that she prompted students to write when she visited an Arcadia University class session of "Truth and Beauty:  A Course in Mathematics and Literature" taught by mathematician-poet Marion Cohen.  The writing was prompted by an activity-list developed by mathematician-poet Carol Dorf.  Poems by Whitney Boeckel and Olivia Lantz particularly caught my eye and, with their permission, I present them here:

The discipline of mathematics

This poem remembers one of my students.

       The Prince of Algebra      by JoAnne Growney

       Madam Professor,
       let me introduce myself.
       I'm Albert James,
       whom you may know
       by my test score
       that's lower than my age.

Martin Gardner, again

     This past weekend a review by Teller (magician of the Penn & Teller team) of an autobiography of Martin Gardner appeared in the NYTimes Book Review.  According to Teller, Gardner (1914-2010) wrote the memoir, Undiluted Hocus-Pocus:  The Autobiography of Martin Gardner, at the age of 95 on an old electric typewriter in his single-room assisted-living apartment in Norman, Oklahoma.    

Count what counts

When I visited Iceland last month, I looked in the bookstores of Reykjavik for bilingual (Icelandic-English) poetry collections; I found none. I did, however, acquire a copy of  The Sayings of the Vikings (Gudrun Publishing, 1992), a translation by Bjorn Jonasson of Hávamál -- "sayings of the high one" -- from the Poetic Edda, a collection of Old Norse poems from the Viking era and attributed to Odin.  Here are several samples that involve number or measurement:

     The Nature of  Hospitality

     I would be invited
     everywhere
     if I needn't eat at all. 

2013 (and prior) -- titles, dates of posts

Scroll down to find dates and titles (with links) of posts in 2013.  At the bottom are links to posts through 2012 and 2011 -- and all the way back to March 2010 when this blog was begun.   This link leads to a PDF file that lists searchable topics and names of poets and mathematicians presented herein.

Dec 30  Error Message Haiku
Dec 26  The angel of numbers . . .
Dec 23  Ah, you are a mathematician
Dec 20  Measuring Winter 

Error Message Haiku

Found at Komplexify.com, a variety of (often-amusing) mathematical verses -- including a collection of Error Message Haiku.  Approaching a New Year, I have been reflecting on my device-dependencies and considering resolutions about them -- and musing over some of these wistful substitutions for machine messages I dread:

       A crash reduces
       Your expensive computer
       To a simple stone.

       Chaos reigns within.
       Reflect, repent, and reboot.
       Order shall return.  

The angel of numbers . . .

This poem by Hanns Cibulka (1920 - 2004) -- translated from the German by Ewald Osers -- is collected in the anthology, Strange Attractors:  Poems of Love and Mathematics, edited by Sarah Glaz and me (A K Peters, 2008).

     Mathematics      by Hanns Cibulka     (trans. Ewald Osers)

                  And the angel of numbers
                  is flying
                  from 1 to 2...
                       —Rafael Alberti

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.    

Measuring Winter

Thomas Campion (1567-1620) was an English composer, physician, and poet.   I found this poem at poetryfoundation.org.

Now Winter Nights Enlarge     by Thomas Campion

Now winter nights enlarge
    The number of their hours;
And clouds their storms discharge
    Upon the airy towers.

Sieve of Eratosthenes

The Sieve of Eratosthenes     by Robin Chapman

He was an ancient Greek
looking for primes,
those whole numbers divisible
only by 1 and themselves,
those new arrivals on the block,
fresh additions to the stock
of indivisibles spilling through
future time (for what is time

Amounting to Something

From the Fall/Winter 2013 issue of Poet Lore, a poem by David Wagoner about the arithmetic of expectations:

     Amounting to Something     by David Wagoner

     You were supposed to do that
     by saving yourself up
               like coins in a pig rescued
               just in time sometimes
     from in front of the candy counter  
     or the desk in the corridor

13 lads of Christmas

     In addition to waterfalls and geysers and the Aurora, Iceland has outstanding museums.  On the morning of December 10, I visited the National Museum of Iceland in Reykjavik -- and enjoyed a careful introduction to the history of this fascinating and friendly nation.  Something I missed, however, was seeing one of the 13 Yuletide Lads that are an Icelandic tradition and who visit the Museum one-by-one on the 13 days before Christmas, each wearing traditional costume and trying to pilfer the goodies he likes best.

Iceland -- poetry, stones

British translator and editor David McDuff blogs at "Nordic Voices in Print" -- a site that he uses as "a way of making some of my translations of Nordic poetry and prose available online."  Here is "stones" -- the third of a group of ten poems he has posted by Icelandic poet Sjón.  This one involves a few numbers and I present it here as a math-poetry token of the fascinating land I am planning to visit: a five-day Iceland vacation adventure, traveling with my Eastern Village neighbors Priscilla and Glenn. 

stones     by Sjón (translated by David McDuff)

Conversational mathematics

In recent weeks I have been experimenting with poems that use mathematical terminology, wondering whether -- since there are readers who are undaunted by unknown literary references (to Dante's Divine Comedy or Eliot's Prufrock, for example) -- some readers will relish a poem with unexplained mathematical connections.  In this vein I have offered "Love" (posted on on November 5) and now give the following poem, "Small Powers of Eleven are Palindromes":

Last year's prediction

This poem by Halifax mathematician and poet, Robert Dawson, appeared in LabLit  in December 2012 (just in time to offer gentle mocking of predicted disaster)!  Enjoy!

Survivor's Guide to the Baktun-13 Bug    by Robert Dawson

As you may know, at this years’ Winter Solstice
the 12-baktun Long Count will overflow.

Solving equations . . .

Although poets as long ago as Henry Lok (1553?-1608?), Elizabeth Tollett (1694-1854), and William Blake  (1757-1827) used mathematical imagery in their poems, the first collection of poetry-with-mathematics that I came to was Against Infinity:  An Anthology of Contemporary Mathematical Poetry (Primary Press, 1979), collected and edited by Ernest Robson and Jet Wimp.  This volume introduced me to poems I could use with my math students and one of my long-term favorites is "Algebra" by Linda Pastan who has, in turn, become one of my favorite poets. 

Algebra cadabra

It was my good fortune to meet Colette Inez back in the early 1990s when she was poet-in-residence at Bucknell University. Then, as now, I was collecting poems-with-mathematics, and I have long loved this poem that weaves figuring into forests.

Forest Children     by Colette Inez

We heard swifts feeding in air,
sparrows ruffling dusty feathers,
a tapping on stones, mud, snow, pulp
when rain came down, the hiss of fire.
Counting bird eggs in a dome of twigs,
we heard trees fall and learned
to name them on a page for school. 

A poet (math-daughter) speaks of math's beauty

I met Minnesota poet Roseann Lloyd when we served together on an AWP (Associated Writing Programs) conference panel on translation several years ago.  There I was considering, as I so often am, the translation of mathematics into representations that poets understand.  Roseann 's father was a mathematics professor and she learned early that "mathematics is its own beauty."  And she has permitted me to offer you this poem.

HOW MY DADDY CHANGED WHEN HE GAVE UP TEACHING COLLEGE FOR SELLING INSURANCE     by Roseann Lloyd

Once Daddy enthralled his students at SMS --
handsome in his navy blue suit and dusty hands,
chalk clicking out equations lickety-split.
A third-grader, I waited for him every day
in the cool marble hall.  Listened to the rhythm
of the chalk on the board.   Even then I knew
that pure math is an art equal to music, second
only to poetry in the realm of beauty.    

Counting responses

At the Poetry Foundation website, poet Audre Lorde (1934-1992) is described thus:

               A self-styled "black, lesbian, mother, warrior, poet," 

               writer Audre Lorde dedicated both her life 
               and her creative talent to confronting and addressing 
               the injustices of racism, sexism, and homophobia.

Here is a counting poem by this fine, bold poet:

Inequality of Compromise

This past week I attended a wonderfully stimulating BIRS (Banff International Research Station) Conference  -- a gathering of creative writers in mathematics and the sciences -- and, as I told colleagues at Banff of early days in my long-term interest in the poetry of mathematics, I recalled the fine collection Against Infinity:  An Anthology of Contemporary Mathematical Poetry (Primary Press, 1979), collected and edited by Ernest Robson and Jet Wimp.  Today I pulled it from my shelves and again turned its pages.  "Compromise" by Missouri mathematician Charles S. Allen caught my eye.  Here it is: 

The minute in infinity

From  Treatise on Infinite Series     by Jacob Bernoulli

Even as the finite encloses an infinite series
      And in the unlimited limits appear,
So the soul of immensity dwells in minutia
      And in narrowest limits no limits inhere.
What joy to discern the minute in infinity!
      The vast to perceive in the small, what divinity! 
 
                    Translated from the Latin by Helen M. Walker

Found in the anthology, Strange Attractors: Poems of Love and Mathematics (A K Peters, 2008), edited by Sarah Glaz and me.  A complete table of Contents for this collection may be found here.

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.