Remembering Sophia Kovalevsky

With Reason: A Portrait     by JoAnne Growney   (June 2012)

        Sophia Kovalevsky *    (1850-1891)

Because she was Russian  . . .
Because she had abundant curly hair . . .
Because she loved mathematics . . .
Because she was born in the 19th century . . .
Because lecture notes for calculus papered  her nursery walls . . .
Because her parents forbade her to leave home . . .
Because a woman could not travel abroad from Russia 
                    without her father or a husband . . .
Because she found a kind man to marry . . .
Because ideas came to her in torrents . . .
Because she married a man she did not love . . .

Seeking poems about math-women

In this blog I have previously posted poems that speak of the lives of these math-women:

     Sophie Germain (1776-1831)

     Florence Nightingale  (1820-1910)

     Amalie "Emmy" Noether  (1882-1935)

     Grace Murray Hopper (1906 - 1988)

And also a poem about four influential teachers of mine; three of them math-people; three of them women.

I want more poems about women in mathematics;   
send me yours (or those of others) -- 
write new ones; CELEBRATE women in mathematics:

women who are alive or ones that have passed; 

women of fame or those without; 

women out in front or those in quiet corners -- 

women we want to remember.

Sophie Germain dressed as a man to study math

One of the fine sources for biographies and other topics in the history of mathematics is MacTutor History of Mathematics archive, hosted by the University of St Andrews in Scotland.  Poet Brian McCabe cites this archive for historical information he used as background for his poems starring mathematicians -- found in his collection, Zero (Polygon, 2009).  Here is McCabe's poem for the outstanding French mathematician, Sophie Germain (1776-1831). 

Can mathematics maximize happiness?

     My post for last Monday (11 June 2012) offered a link I would like to repeat:  to an article by Judy Green, "How Many Women Mathematicians Can You Name?"  (first published in Math Horizons in 2001).  One of the seven names in Green's opening paragraph is "Sofia Kovalevskaia" (1850 - 1891); this prizewinning Russian mathematician (whose name appears with a variety of spellings, including "Sophia Kovalevsky" and "Sonya Kovalevskaya") was also a writer of literary work -- several novels, a play, a memoir, some poetry.  

Think Like a Man

     To publish mathematics,
     a woman must learn to think
     like a man, learn to write like
     a man, to use only her
     initials so reviewers
     guess she's a man!  Women must
     masquerade, pretend man-think --
   
     or can we build
     new attitudes,
     so all of us
     have fair chances?!        ("Square Attitudes"   by JoAnne Growney)  
 

Computer code -- is poetry?

Dubliner Eavan Boland is a master poet (and one of my favorites); Ireland shares her with the creative writing program at Stanford University.  In Against Love Poetry (Norton, 2001), we find Boland's tribute to the also-amazing master of language, Grace Murray Hopper (1906-1988).

                     Code          by Eavan Boland

             An Ode to Grace Murray Hopper  1906-88

    maker of a computer compiler and verifier of COBOL 

   Poet to poet.  I imagine you

     at the edge of language, at the start of summer

       in Wolfeboro, New Hampshire, writing code.

         You have no sense of time.  No sense of minutes even.

           They cannot reach inside your world,

             your gray work station

               with when yet now never and once.

                 You have missed the other seven.

                   This is the eight day of Creation.

Sum of moments

Here is a 3x3 square poem -- inspired by a recently-found margin-note I made in Differential and Integral Calculus (by Ross R Middlemiss) when it was my text for an introductory calculus course at Westminster College all those years ago:

          The sum of

          the moments

          is zero.

While the pages of text near the note go on with discussions and diagrams of slices and sums and limits -- they introduce the centroid, the moment of inertia, and the radius of gyration, and are importantly informative -- it is the margin-note that has today delighted me.  I wonder if the girl who wrote it saw it as I do today. I like the mystery.

Counting the dead

This poem by Joan Mazza heightens the impact of war-data by bringing it into the kitchen and the office -- juxtaposing war-numbers with the events of a pleasant day in central Virginia.  

Numbers for the Week       by Joan Mazza

This morning, it was twenty-eight degrees. I photographed
red oak leaves rimed with frost. I made chicken soup, canned
ten pint jars in the pressure cooker at fifteen pounds of pressure
for seventy-five minutes. On the stump near the compost pile,
I left the skin of fourteen chicken thighs for crows and woodpeckers.  

Arithmetic of war

     In his poem, "Arithmetic on the Frontier," Rudyard Kipling (1865-1936) wrote of Britain's nineteenth century military aggression in Afghanistan.  His words remind us of important questions:  what is the cost of a life lost in battle?  are some lives cheap and some more dear?

 
     Arithmetic on the Frontier     by Rudyard Kipling

     A great and glorious thing it is
         To learn, for seven years or so,
     The Lord knows what of that and this,
         Ere reckoned fit to face the foe --
     The flying bullet down the Pass,
     That whistles clear: "All flesh is grass."

Remembering Israel Lewis Schneider

     On Monday, October 17, 2011, Israel Lewis Schneider (1924-2011) --  Silver Spring poet and mechanical engineer -- passed away.  I did not learn of this death until yesterday -- when my colleague, Sarah Glaz, let me know that an e-mail to him had bounced back and I went online searching for him.

     It has been my pleasure to get to know "Lew" (who published poetry under the name, Israel Lewis) at local poetry readings where we connected over our common interest in poetry-with-mathematics.  Lew's poem, "I Find My Faith in the Flatness of Space," appeared in the anthology Strange Attractors:  Poems of Love and Mathematics (edited by Glaz and me) and his poem for two voices, "Cantor:  Not Eddie,"  appeared here in this blog on 24 July 2010.  Shortly after that July posting, Lew sent another poem for my review.  To celebrate the life of this kind, funny, and very talented man, I offer here that poem -- with its playful examination of mathematical and other identities -- "Who Steals My Trash . . . ":  

Crocheting mathematics

Charlotte Henderson majored in mathematics and English at Wellesley College and has applied her dual interests as an editor for A K Peters, Ltd (a science and technology publisher that is now part of CRC Press).  Several manuscripts on which she has worked at A K Peters have drawn her to the connections between mathematics and art, including needlework. She is particularly interested in the diverse possibilities of crochet, which she learned after working on Daina Taimina's book, Crocheting Adventures with Hyperbolic Planes.   Charlotte has turned this interest into art and into a poem: 

Taking Stock

Developing an inventory -- of what we have or have experienced, of what we see or imagine -- inevitably involves numbers and counting.  As in "Inventory" by Canadian poet Colin Morton, an adaptation or "free translation" of  "Inventaire" by Jacques Prevert.  Morton has a strong connection to mathematics --  his son is a mathematician at the Technical University of Lisbon.

  Inventory       by Colin Morton

  one lump of rock
  two houses
  three ruined foundations
  four gravediggers
  one garden
  some flowers

Before calculators we did more counting!

One of many sources of good poetry online is American Life in Poetry, collected by former U S Poet Laureate Ted Kooser.  In Column 368, Kooser offers "Numbers" by New Jersey poet, Jared Harel (first published Fall 2010 in The Cold Mountain Review).  Kooser's introduction notes, "My mother kept a handwritten record of every cent she spent from the day she and my father were married until the day she died. So it’s no wonder I especially like this poem  . . . " 

Natural numbers

     My just-previous posting tells of a Monday poetry reading I was able to attend.  On Monday, May 14, a poetry reading took place that I wanted to attend but missed; poet Gary Snyder read at the Folger Shakespeare Library. 
     Written in the 1950s and read by him here on YouTube, Gary Snyder's poem, "Hay for the Horses," involves a mathematical calculation: 

Poetry in DC -- counting sheep

The Washington, DC area offers a rich diversity of poetry events -- workshops and readings, contests and conferences.  An excellent way to find out what's happening is through the online listing, Beltway Poetry News, maintained by editor and poet Kim Roberts.  One of the very active DC poetry organizations is The Word Works whose board chairperson, Karren Alenier, is also a fine poet. 

Last week I enjoyed one of Karren's readings -- at Café Muse in Friendship Heights Village Center.  On May 7 Karren read from her recent collection, On a Bed of Gardenias:  Jane and Paul Bowles (Kattywompus Press, 2012).  These poems were exciting to hear --  they are part of an opera libretto that Karren is working on -- but not mathematical; thus, I turn back to one of her earlier poems, "Dialectic of the Census Takers," for presentation here. 

Ode to Alan Turing

In this week of announcements in the US about evolving views concerning human sexual preferences, it seems fit to offer a second poem (see also May 9) honoring British code-breaker and computer scientist, Alan Turing (1912-1954).  Here is "Ode to Alan Turing"  by Saskatchewan poet, Mari-Lou Rowley. 

A toast to Alan Turing

     Alan Turing (1912-1954) committed suicide at the age of 42. He was brilliant, arguably the best computer scientist of the twentieth century.  He is perhaps most famous for his code-breaking work at Bletchley Park during WWII; but he also made enormous significant contributions to the emerging fields of artificial intelligence and computing. And Alan Turing was gay. 

     More prose details will follow -- but first a poem for Turing by UK poet Matt Harvey : 

A square -- for everyone!

all     all

all     all

This square pun by Aram Saroyan appears in his Complete Minimal Poems  (Ugly Duckling Presse, 2007).  Other Saroyan poems may be found in the posts for 9 November 2010  and 30 November 2010 .

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.

What do we do with these numbers?

During March 22-25, 2012 I participated in the Split This Rock Poetry Festival.  One of the fine poets I met there was Oregon poet and teacher, Ingrid Wendt.  Her poem, "Numbers" shows the dramatic impacts that numerical information may have.  It is time to count.  Time to help.  Time to do right.

   Numbers     by Ingrid Wendt

                    Poem ending with words by William Stafford

   Iris says there's safety in numbers, when

   someone else arrives to share the house she won't

   need to lock the door

   When did Iris last read the news? 

Poetry with Math -- BRIDGES 2012, Limericks

During July 25-29, 2012, Towson University will be hosting BRIDGES 2012, a mathematics-and-the-arts interdisciplinary conference. This year's conference will feature a poetry day on Saturday, July 28. -- an event that is free and open to the public as are all "Family Day" conference activities after 2 PM.  Mark your calendar.  More information is available at the end of this post (scroll down) and at the BRIDGES website.

  This weekend in Washington, DC (April 28 - 29, 2012)

enjoy "the largest celebration of science in the USA" --

visit the FREE USA Science and Engineering Festival -- 

featuring more than 3000 exhibits. 

We note here once again the coincidence that comes with April -- when we celebrate both National Poetry Month and Mathematics Awareness Month.  Here are three limericks (bawdy, of course) by John Ciardi (1916-1986) that celebrate data collection and numerical information. 

Macbeth and Probability

     Kansas City educator Michael Round of the Center for autoSocratic Excellence has developed a host of math teaching tools -- and within them he often uses rhyming verses amid his diagrams and his prose.  Here are the opening lines of an activity in which he links Macbeth with probabilities:

The Royal Route He Took:  A Shakespeare Poem 
                                                                       by Michael Round

This Shakespeare tragedy,

Macbeth, you know the name.

His eventual downfall thinking

Probability is a game.

Statistics -- math to improve man's lot

Today's poem honors nurse and statistician Florence Nightingale (1820-1910) and is found in a fine poetry collection by Mary Alexandra Agner, The Scientific Method.

   After Math     by Mary Alexandra Agner

               Florence Nightingale, 1820-1910

   Worth one thousand words, usually,

   but thousands dead

   were inked as a colored nautilus

   with chambers counting corpses

   by disease or sword or bullet.

   Hold this shell to your ear;

   hear only your heartbeat's echo.

   Numbers never had such voice

   until Florence drew

   coxcomb wedges for the dead.

Following Euler in Koenigsberg

     The Köenigsberg Bridges have an important link to mathematics -- for mathematician Leonhard Euler (1707-1783) took a legendary Köenigsberg puzzle-pastime as the seed for development of a new branch of mathematics, graph theory (which is now generally included under the umbrella of combinatorics).  As the story goes, Köenigsberg residents made a Sunday recreation of trying to tour their city, crossing each of its seven bridges exactly once.  This problem is perhaps particularly fascinating because of its impossibility -- a dilemma cause by the existence of odd (rather than even) numbers of bridges between the parts of this water-separated city.

Statistics -- a lament

     Helping me to continue to connect National Poetry Month with Mathematics Awareness Month (with its theme of "Mathematics, Statistics, and the Data Deluge") is the following poem by Halifax mathematician Robert J. MacG. Dawson, and found in the September 2011 issue of The Mathematical Intelligencer. 

     Dawson's poem "Statistical Lament" will be recognizable to many as a parody of Joni Mitchell's "Both Sides Now."  (Still more math songs and parodies may be found in earlier blog postings -- on 5 June 2011, 14 February 2011, 4 January 2011, and 23 April 2010.)

Math or poetry -- must one choose?

April celebrates poetry and mathematics -- it being both National Poetry Month and Mathematics Awareness Month -- and this year's math-theme is "Mathematics, Statistics, and the Data Deluge."  What better way to mark these joint occasions than with a poem of statistics.  I first learned of Eveline Pye -- a lively and interesting Glasgow statistician, teacher, and poet -- through "Eveline Pye: Poetry in Numbers"  in the September 2011 issue of the statistics magazine, Significance.  Here is one of the poems found therein, aptly titled "Statistics."

Navigating this blog . . .

     A query from a helpful reader has reminded me that it can be difficult to navigate a blog because new entries hide old ones.  If you scroll down this column, you will be able to see the introductory paragraph for each of the postings so far in 2012.  And then, here are two helpful links to go back farther. First, posted on January 3, 2011, a listing of the titles of the 119 posts during 2010;  and, posted on January 3, 2012, a listing of the titles of the 152 posts during 2011.  

     Please enjoy!

A septina ("Safety in Numbers") -- and variations

Recall that a sestina is a 39 line poem of six 6-line stanzas followed by a 3-line stanza.  The 6-line stanzas have lines that end in the same six words, following this permutation pattern:

   123456   615243   364125
   532614   451362   246531

The final stanza uses two of the six end-words in each of its three lines.  An original pattern for these was 2-5, 4-3, 6-1 but this is no longer strictly followed.

Can sestina-like patterns be extended to other numbers?  Poet and mathematician Jacques Roubaud of the OULIPO investigated this question and he considered, in particular, the problem of how to deal with the number 7 of end-words -- for 7 does not lead to a sestina-like permutation.  Rombaud circumvented the difficulty (see Oulipo Compendium -- Atlas Press, 2005) by using seven 6-line stanzas, with end-words following these arrangements:

Start with a number . . .

     April celebrates both poetry and mathematics -- this month that is the gateway to spring is also National Poetry Month and Mathematics Awareness Month (with theme "Mathematics, Statistics, and the Data Deluge").

     Last month (March 22-25), mathematics and poetry met at the DC Poetry Festival, Split this Rock where several of us gathered for a workshop, "Counting On" -- where writers were encouraged to use a number (or numbers) as a focal point for a poem. During the workshop hour, several of us picked numbers that mattered to us and started the process of forming a poem; here are lines from Sonja deVries, Yael Flusberg, Janine Harrison, Jaime Lee Jarvis, Margaret Rozga, and me.

Valley Voices

With Richard Aston I share a love for science and logic, a love for poetry, and a love for the Susquehanna Valley.  His home is Wilkes-Barre and mine was (for 25 years) Bloomsburg -- both Northeastern Pennsylvania Susquehanna River towns.  We met long ago at a gathering of the Mulberry Poets (a group in which Richard remains active) in Scranton.  His recent collection of poetry Valley Voices (Foothills Publishing, 2012) has recently arrived in my mailbox and I'd like to share one of the voices in his collection -- a gathering of poems from a writer who has listened to the members of the communities in which he lives and has created memory portraits so that they will not be forgotten.  Here is one of his Susquehanna valley voices. 

Celebrate Emmy Noether

     On 23 March 1882 mathematician Emmy Noether (pronounced NER-ter) was born.  On 23 March 2010  I posted the first entry in this blog -- an entry that included a poem, "My Dance Is Mathematics," I wrote to honor Emmy Noether; its final stanza is offered below.  On 27 March 2012, The New York Times published an article that features Noether -- "The Mighty Mathematician You've Never Heard Of."
     Take time today to learn about and to celebrate this not-well-enough-known and immensely talented mathematician! 

       Today, history books proclaim that Noether
       is the greatest mathematician
       her sex has produced. They say she was good
       for a woman.

I cannot post today without mentioning my sadness from learning of yesterday's passing of Adrienne Rich, a favorite poet who spoke eloquently and fearlessly of the struggles of women to be and to create. I am today in San Francisco visiting a daughter and her family and here, from the San Francisco Chronicle,  is a celebration of Rich's life, including the text of the poem of hers that I love most, "Aunt Jennifer's Tigers."

Poems with Numbers

      Hats off to the organizers and presenters at the 2012 Split This Rock Poetry Festival held in DC this past weekend.  Great poets, great programs, fantastically good company all around!!!

      Saturday at the festival,  Denny Shaw and I led a panel-workshop, "Counting On," in which we encouraged poets to use numbers to illuminate their poems of witness and protest.  Our samples of vivid effects of numbers included:  "At Arlington" by Wiley Clements, "The Idea of Ancestry" by Etheridge Knight, "Numbers for the Week" by Joan Mazza, “On Ibrahim Balaban’s Painting ‘The Prison Gates’” by Nazim Hikmet, “The Stalin Epigram” by Osip Mandlestam, “Bosnia, Bosnia” by June Jordan, “The Terrorist:  He’s Watching” by Wislawa Szymborska, and “Four Five Six” by Rosemary Winslow.

     Poetry from our workshop participants will be posted here when it is gathered.  We focused on humanitarian and political concerns -- and used our workshop writing times to try for  poems that use numbers in their imagery.  Here are two samples from me (both syllable-squares).

     Our jails hold

     5 times more 

     blacks than whites.

Round

Round     by  Russell Edson

      Where there is no shape there is round.  Round has no shape; no more than a raindrop or a human tear . . .

       And though the organs that focus the world are round, we have never been happy with roundness; how it allows no man to rest.  For in roundness there is no place to stop, since all places in roundness are the same.

     Thus the itch to square something.  To make a box.  To find proportion in a golden mean . . .

"Round" is found in The Tormented Mirror (University of Pittsburgh Press, 2001).  This blog's posting for June 9, 2011, features another of Edson's prose poems.

A Prayer of Numbers

     Whether our language is music or mathematics, computer code or cookery --  as we learn to love the language and treat it with good care, we find poetry.  Because mathematics is a concise language, with emphasis on placing the best words in the best order, it often is described by mathematicians and scientists as poetry.  Alternatively, and more accessible to most readers than poetic mathematics, we find verses by poets who include the objects and terminology of mathematics in their lines.

     One of my favorite poems of numbers is the portrait "Number Man," by Carl Sandburg (1878-1967),  found in The Complete Poems of Carl Sandburg (Harcourt, 2003).  This poem also appears in Strange Attractors:  Poems of Love and Mathematics (A K Peters, 2008) -- a varied collection of math-related poems edited by Sarah Glaz and me.

     Number Man     by Carl Sandburg

          (for the ghost of Johann Sebastian Bach)

     He was born to wonder about numbers.

Illness and Time -- Counting on

One of life's special opportunities came to me ten years ago in Bucharest when I had the opportunity to meet poet Ileana Mălăncioiu and, along with my co-translator Doru Radu, enjoy a afternoon beer with her in a sunny cafe and talk of the opportunity of translating her collection Sora mea de dincolo / My Sister Beyond.  These fifty-four poems were written in response to the illness and eventual death of Mălăncioiu's sister;  the bilingual collection with our translations came out in 2003 (Paralela 45).  During the past year I have faced the critical illness of a family member and have, during this time, found Mălăncioiu's poems especially relevant.

     With university studies in philosophy (PhD) and experiences as journalist and editor, Mălăncioiu is a thoughtful observer who offers new best ways of seeing what is at hand.  Here is her "Forty Days."

Verses that count

At about.com one finds a variety of information -- from the dates of the rapidly approaching 2012 Cherry Blossom Festival in Washington DC to divisibility rules for integers to a type of poetry called mathemetrics.  Mathemetrical poetry has one topic: the length of the poem itself. Enjoy:

An example:

   This poem
   contains 14 words
   (if we count numerals
   as words) and 62 symbols.

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":

Mathematics in Romanian poetry

     When I first visited Romania, I met Doru Radu, then a teacher of English at Scoala Generala "Andre Muresanu" in Deva. And Doru introduced me to his favorite poet, George Bacovia (1881 - 1957). Over time, we together translated many of Bacovia's poems -- and the bilingual collection plumb de iarnă / lead of winter was published in 2002 (Ed., Gabriel Stanescu, Criterion Publishing). Recently I scrutinized that collection (no longer available in print, but here, online) to look for mathematical lines to post in this blog. Alas, Bacovia offers no more than a couple images from geometry: "alone in deserted squares" (in Pălind / Fading) and "the wide, oval mirror, framed with silver" (in Poemă în oglindă / Poem in the Mirror).
     Although Bacovia did not use mathematical imagery, a considerable number of Romanian poets do, and below I offer links to my earlier blog postings of work by Ion Barbu, Nina Cassian, Martin Sorescu, and Nichita Stanescu. Enjoy!  

Poetic Explorations of . . . Mathematicians

In the Journal of Humanistic Mathematics (Volume 1, Issue 2), we find "Numen^Rology: A Poetic Exploration of the Lives and Work of Famous Mathematicians" by Saskatchewan poet, Mari-Lou Rowley. In addition to the following poem, "On Diophantus Arithmetica," Rowley's JHM collection includes "Ode to Alan Turing" and "On Euclid’s Book VII – Elementary Number Theory: Proposition 8." Rowley's lines below wonderfully describe the emotional flow that comes with engaging in mathematics -- as mathematical terms are translated into the human terms of wanting and forthcoming, kneading, . . . and yielding.

Seeing Distance -- geometry in photography

One of my favorite poem-stanza styles is a syllable-square -- it distributes the weights of the words in a way that pleases me. The poem below has squares of several sizes and I post it as a prior-to-seeing-the-exhibit opposite to my response to photography currently displayed at the Smithsonian American Art Museum -- "Pilgrimage," by Annie Leibovitz. While many photographs, my own in particular, seem particularly flat, such was not the case with these. As if I were wearing special lenses, I was able to see and feel depth – not only in a view of Niagara Falls but also in the fabric and buttons of a dress that had belonged to Emily Dickinson.

Chaos and Order -- Stevens

An article by Jeff Gordinier, "For Wallace Stevens, Hartford as Muse," in the Travel Section of last Sunday's NY Times gives a gentle introduction to one of my favorite poets; the article also provoked me to escape for an hour into a rereading of selections from my copy of The Collected Poems (Vintage Books, 1990). Poems by Stevens (1879-1955) celebrate ideas and are, like pieces of mathematics, suggestive of a variety of situations. (Work by Stevens was featured in these earlier blog postings: 15 December 2010 (from "The Snow Man"), 4 May 2011 ("The Anecdote of the Jar"), and  13 May 2011 (from "Six Significant Landscapes"). Here, reconciling opposites, are two of the five sections of Stevens' "Connoisseur of Chaos" -- also from The Collected Poems.

Universal and Particular -- Szymborska

Like Yves Bonnefoy (21 February 2012 posting), Wislawa Szymborska (who died on 1 February 2012) was born in 1923.  Like him she was concerned with the connections of the universal and the particular.  Here, in "A Large Number,"  she reflects, as she did in "A Contribution to Statistics," on the human meaning that lies behind numbers: 

Universal and Particular

Poet Yves Bonnefoy (b 1923) is one of France's greatest living poets. And Bonnefoy's university studies included mathematics. I read recently of Bonnefoy in the Wall Street Journal Bookshelf posting for 11 February 2012 by Micah Mattix entitled "The Pursuit of Presence." This reminder sent me to my bookshelf to review the poet's work with mathematics in mind. I found a bit of attitude toward the subject in a prose poem entitled "Devotion" when he used the phrase "stern mathematics." And Section 1 of "Trial by Ordeal" (offered below) ends with the word "proof."
     Mattix opened his Bonnefoy article with a quote: If I had to sum up in a sentence the impression Shakespeare makes upon me," the poet Yves Bonnefoy wrote in an early essay, "I should say that, in his work, I see no opposition between the universal and the particular." This universal-particular pairing (evident in Bonnefoy, as in Shakespeare) led my thoughts to the mathematical pairing, global-local, which I explore briefly following Bonnefoy's poem.* 

Langston Hughes could do anything!

In the 1970s when I was a new professor (at Pennsylvania's Bloomsburg University), a particular colleague and I would chat occasionally about our teaching methods and compare them with the ways we'd been taught. We agreed that many of our teachers seemed to dump mathematics on us in any manner whatever -- supposing that, if we were smart enough, we would pick it up. We thought we were better teachers than our predecessors and yet I am haunted by knowing that the privileged -- whether by wealth or education or birthplace or whatever -- seldom see their advantage over those who are different. Still, some of us survive unlikely odds, being lucky enough to have an "I can do anything" attitude like that expressed by poet Langston Hughes (1902 - 1967) in "I, Too":

2012 Split This Rock Poetry Festival -- March 22-25

Earlybird registration ends February 22 for the 2012 Split this Rock Poetry Festival in Washington, DC, March 22-25.  Honoring poet June Jordan, the four-day festival will feature more than a dozen noted poets whose work speaks out against indifference and injustice.  One of these is is Minnie Bruce Pratt -- and here is her "Someone is Up," one of the poems featured in the Spring 2012 issue of the Beloit Poetry Journal, published in support of the Split this Rock Festival and presenting work of festival poets.  As in many poems of provocation and witness, numbers provide the specifics that pin down the message.  (See also poetry by Festival Director Sarah Browning in the February 5 posting.)

Counting (with sadness) in Syria

Burmese poet ko ko thett is an activist-scholar and, at present, a resident of Vienna, Austria. I became acquainted with his work through Kyi May Kaung, a writer, artist, Burma-activist-scholar, and friend who currently lives in the Washington, DC area. Here is a poem by ko ko thett  -- for Syria.

the 5000th    by ko ko thett

                        for syria

Be My Valentine

Unlike many newspapers, the British Guardian publishes poems -- and, on February 10, 2012, they offered a selection to celebrate the upcoming Valentine's day. Included, among work by more than a dozen notables, are poems by Wislawa Szymborska, John Donne, Derek Walcott (whose poem "Love After Love" is one of my favorites), Sir Walter Raleigh, Lord Byron, and Carol Ann Duffy -- and a poem by John Fuller that is seasoned with some mathematical terminology. You will need to visit the Guardian article online for the whole of Fuller 's poem, "Valentine," but here are several snippets to whet your interest. (Enjoy the fun of rhyming mathematics with attics!) 

Recursion

A mathematician may face a dilemma over the meaning of an ordinary term -- for words like "group" and "identity" and "random" (to name a few) have precise mathematical definitions that differ from their common meanings. Canadian poet Peter Norman's title, "Recursion," however, uses the term as it is used mathematically.  While a definition of "recursion" is widely available in mathematics texts, it was missing in my several English dictionaries -- and I found it only in the OED (though, even there,  noted as now rare or Obs.) : "a backward movement, return."   The term "return" indicates previous forward motion. In mathematical recursion (illustrated below by the Fibonacci sequence) as in Norman's poem, going backward is possible only because forward motion is known. (Interested readers will find an introduction to mathematical recursion following the poem.)

     Recursion    by Peter Norman

     I fall awake alone. Outside,
     nocturnal rain ascends.  

Is Math for Women?

At a River Poets reading at the public library in Bloomsburg, Pennsylvania on December 1, 2011, Carol Ann Heckman surprised me with her poem, "The Calculus Road Not Taken," presented below.  Not only is she a fine poet, but Carol Ann is curious about mathematics.  As a college student she was turned away by negative feedback from a math professor. But now she is reassessing her situation and ready to tackle calculus. Here she has fun with her calculus-deprived situation in lively verse:

The Calculus Road Not Taken   by Carol Ann Heckman  

               for JoAnne Growney

If I had only conquered
calculus
this wouldn't have
happened--the flood,
the earthquake, the
two hurricanes
in succession

Strength from Numbers

During March 22-25, 2012, the third Split This Rock Poetry Festival:  Poems of Provocation and Witness will be held in Washington, DC. This year's festival honors activist poet June Jordan (1936  - 2002) but the festival would not be happening without the vision and untiring efforts of DC poet Sarah Browning, Director of Split This Rock and DC Poets Against the War, and author of Whiskey in the Garden of Eden.  Like any good protester, she makes effective use of the specificity of numbers in her poems.

Szymborska (1923-2012) on Statistics

Polish poet Wislawa Szymborska (1923-2012)  won the 1996 Nobel Prize for literature; I am saddened by her death -- yesterday, February 1, at her home in Krakow. But one cannot help but rejoice for her poems.  Szymborska did not shy from use of mathematical ideas.  As in this sample:

   A Contribution to Statistics   by Wislawa Szymborska

    Out of every hundred people

    those who always know better:
   -- fifty-two,    

Counting Groundhogs

     I grew up in a town about 25 miles from Punxsutawney, PA -- and Groundhog Day on February 2 was local-news only. This was the quiet time before television cameras mades stars of groundhogs and, back then, we knew them for their underground piracy as well as for their weather-forecasting.
     My father, a farmer, did not like groundhogs; he tried to keep them away from his fields by blocking their entrances to the networked burrows where they chewed the roots of crops planted overhead.  Fifty years after these farming days, I arrived at the following "what is this world coming to?" poem that features my mother and me watching groundhogs play in a field outside her sickroom. (The poem is, approximately, a sonnet -- in which the poet is not only counting groundhogs but also counting syllables . . ..)

Juxtaposition

One of my favorite phrases (loved for the sound of it) first came to my ears during my college studies of  abstract algebra: "multiplication is denoted by juxtaposition"  -- and,  within the phrase, I best like to say "juxtaposition." I enjoy its movement in my mouth, its sibilance in my ears. And so, of course, I set out to find a poem using the word. Having failed over many years to find the word in someone else's poem, I have written my own:

   Multiplication     by JoAnne Growney

   Multiplication is the process
   of taking one number as many times
   as there are ones in another.

Counting the seconds -- and leap seconds

      Keeping time is a simple matter of counting -- counting seconds, summing them into minutes, hours, days. Or is it? Recent news has included mention of the changing length of our solar day and the need for insertion of leap seconds.   (A leap second is a one-second adustment to the time kept by precise atomic clocks -- to keep this latter time close to mean solar time. No leap-seconds were added in 2011 but NPR and The Washington Post recently announced that a leap second will be added June 30, 2012. At 7:59:59 PM, Eastern time, the US Naval Observatory will skip a second to 8:00:00 PM.  Wikipedia offers detailed background on this concept.)     Extra time is a fond wish for many of us -- and Leonard Orr has penned a love poem suggesting how one more second might be delightfully crowded with so much more than could happen in "regular" time. 

Counting fingers and blackbirds

Love of numbers is common in childhood -- and traditional nursery rhymes offer chances to know numbers as playmates and friends.  "Four and twenty blackbirds baked in a pie . . . The king was in his counting house . . ." and so on.  In "The Story of the Ten Blackbirds" poet Millicent Accardi combines a portrait of an amazing story-telling aunt with a collage of childhood memories, counted and remembered.

   The Story of the Ten Blackbirds     by Millicent Borges Accardi

   Blended at times into
   The three little pigs
   Or the Catholic Saints.

Statistics feels like poetry

    Today's title comes from the following poem by statistician and poet Eveline Pye (introduced to this blog on 18 October, 2011).

   Numerical Landscape      by Eveline Pye

   Like a tracker, I smell the earth
   on my fingers, listen for the slightest
   echo as I stare out at a world
   where bell-shaped curves loom

More statistics -- from Hiawatha

As the author of this poem owes a debt to Henry Wadsworth Longfellow, I too owe Greg Coxson -- who showed the poem to me.

Hiawatha Designs an Experiment   by Maurice Kendall

Hiawatha, mighty hunter
He could shoot ten arrows upwards
Shoot them with such strength and swiftness
That the last had left the bowstring
Ere the first to earth descended.
This was commonly regarded
As a feat of skill and cunning.

Average, more or less . . .

The wit of American poet J. V. Cunningham (1911–1985) is here applied to statistics.

   Meditation on Statistical Method      by J. V. Cunningham 

   Plato, despair!
   We prove by norms
   How numbers bear
   Empiric forms,

The Function Room

For each of us who's studied mathematics, the word "function" triggers important mathematical meanings. And so, when I read Patrice Phillips un-mathematical poem "The Function Room," I automatically add a mathematical layer to the meaning.  Do you?

Is your favorite poet a mathematician?

     The Joint Mathematics Meetings in Boston last week gave a fine opportunity for me to connect with both mathematicians and poets, old friends and new ones. And to enjoy a celebration of the connections between poetry and mathematics. In the January 6 poetry reading sponsored by the Journal of Humanistic Mathematics, there was much fine poetry. Several of the poems were by Carol Dorf -- whose work was read by Elizabeth Langosy, executive editor of the online literary magazine, TalkingWriting.  Good reads in the Jan/Feb 2012 issue of TalkingWriting include both Dorf's introduction to some featured math-connected poems -- entitled "Why Poets Sometimes Think in Numbers" -- and Langosy's  impressions of the math-poetry reading.    

Poetry heard at JMM

In Boston on Friday evening, January 6, at the 2012 Joint Mathematics Meetings, these folks gathered and read -- for a delighted audience in Room 312 of Hynes Convention Center -- some poems of mathematics.
     Poets who submitted work in advance and were on the "Poetry with Mathematics" program included:
          Jacqueline Lapidus, Judith Johnson, Rosanna Iembo (accompanied by the violin of her daughter Irene Iaccarino), Charlotte Henderson, Carol Dorf (read by Elizabeth Langosy), Sandra Coleman, Marion Cohen, Tatiana Bonch (read by John Hiigli), Harry Baker (via video presented by reading organizer Gizem Karaali -- an editor of the online Journal of Humanistic Mathematics, which sponsored the the reading), and JoAnne Growney (also an organizer of the reading).
     Participants during an "open reading" included: 
          Mary Buchinger, Chris Caragianis, Rip Coleman, Seth Goldberg, Joshua Holden, Ann Perbohner, Pedro Poitevin, and Jason Samuels.

Euclid meets Broadway

Several years ago while visiting my older son in Colorado Springs I also went to nearby Boulder where, driving along Broadway, I came to a street sign that made me gasp with delight.  I was at the intersection of Broadway and Euclid. That fact, that suggestion of a merge of two worlds, needed to be part of a poem. Some time later I wrote:

   Butterfly Proposal     by JoAnne Growney

From 2011 -- dates, titles of posts

List of postings January 1 - December 31, 2011
Scrolling through the 12 months of titles below may lead you to topics and poets/poems of interest. Also helpful may be the SEARCH box at the top of the right-hand column; there you may enter names or terms that you would like to find herein.
Dec 30  Good Numbers
Dec 26  A mathematical woman
Dec 22  Counting on Christmas
Dec 20  Thoughts Suggested by a College Examination
Dec 17  Ruth Stone counts
Dec 14  A puzzle with a partial solution
Dec 11  Poetry captures math student
Dec  8  Monsieur Probabilty
Dec  5  Poetic Pascal Triangle
Dec  2  Mathematics works with witchcraft