2015 (and prior) -- titles, dates, links for posts

If you wish to easily BROWSE past postings . . .

Scroll down to find titles and dates and links to postings in 2015.  

OR follow these year-number links to go to lists of posts through 2014, 2013, 2012 and 2011 -- and all the way back to March 2010 when this blog was begun. At the top of the column to the right is a SEARCH box for the blog and this link leads to a PDF file of searchable topics and names of poets and mathematicians presented herein.  Scrolling down the right-hand column leads to a partial list of LABELS that are linked to a list of blogs that contain them.
   Dec 31  Precision leads to poetry . . .
   Dec 28  Can a woman learn science (or mathematics)?
   Dec 24  And now welcome Christmas . . .
   Dec 22  Let us not forget . . .
   Dec 20  Who put the pie in Pythagoras?
   Dec 18  A student writes poetry for a math class . . .
   Dec 15  Generalized Pythagorean Theorem--a visual poem? 

Judith Grabiner and Howard Nemerov

     Last evening at the Distinguished Lecture Series sponsored by the MAA it was my privilege to hear an outstanding presentation by Judith Grabiner entitled "Space: Where Sufficient Reason Isn't Enough."  (I invite you to go to the MAA website to learn more about Grabiner and her talk.)
     Grabiner is a math-woman I have long admired and, after the lecture, while I was shaking her hand and thanking her for the excellent presentation, I took a moment to ask her if she had any favorite mathy poems.  Although surprised by my question she was able to cite Elizabeth Barrett Browning's Sonnet XLIII  that counts the ways of love -- a few lines of which are found here -- and the name Howard Nemerov, whom readers of this blog know is one of my favorite poets.
     You may scroll down to find Nemerov's "Magnitudes" (found also at PoetryFoundation.com and PoemHunter.com along with other work by this fine poet).  Poet Laureate of the United States during 1988-1990, Howard Nemerov  (1920-1991) served as a combat pilot during World War II and maintained a continuing interest in the stars and navigation.  Here are links to my earlier postings of poems by this favorite poet.

"Two Pair"      "Grace to Be Said at the Super Market"
"Lion and Honeycomb"     "Creation Myth on a Mobius Band"
"To David, About His Education"     "Found Poem"    "Figures of Thought"

And here, expressing concerns about our planet, is Nemerov's "Magnitudes":

Earth Day -- April 22, 2015

Consider today the thoughtful words of this sonnet by Edna St. Vincent Millay (1892-1950):

     Read history: so learn your place in Time
     And go to sleep: all this was done before;
     We do it better, fouling every shore;
     We disinfect, we do not probe, the crime.
     Our engines plunge into the seas, they climb
     Above our atmosphere: we grow not more
     Profound as we approach the ocean's floor;
     Our flight is lofty, it is not sublime.
     Yet long ago this Earth by struggling men
     Was scuffed, was scraped by mouths that bubbled mud;
     And will be so again, and yet again;
     Until we trace our poison to its bud
     And root, and there uproot it: until then,
     Earth will be warmed each winter by man's blood.

These lines are found on my shelf in Collected Sonnets (Revised and Expanded Edition) by Edna St. Vincent Millay (Harper & Row, 1988).  AND, recall the arithmetic of a sonnet:  14 lines (or breaths) and 5 iambs (or heartbeats) per line. 

America, land of equals (perhaps)

Preparing to celebrate (after Valentine's Day) Presidents' Day, remembering particularly George Washington (b February 22, 1732) and Abraham Lincoln (b February 12,1809), I offer a few lines by Walt Whitman (1819-1892).

       America     by Walt Whitman

       Centre of equal daughters, equal sons,
       All, all alike endear'd, grown, ungrown, young or old,
       Strong, ample, fair, enduring, capable, rich,
       Perennial with the Earth, with Freedom, Law and Love,
       A grand, sane, towering, seated Mother,
       Chair'd in the adamant of Time.        [1888]

This poem is found here in the Walt Whitman Archive.

Opposites, Balance

     Recently, and perhaps always, opposites have interested me.  For example, the complementary and sometimes  conflicting nuggets of advice contained in "Pinch a penny, waste a pound" and "It is best to prepare for the days of necessity."   And in  "Kindness effects more than severity" and "Spare the rod, spoil the child."   Maybe what I like best is the challenge of synthesizing opposite truths.
     Mathematics contains many pairs of entities that are, each in some different sense, opposites:

2 and -2      2 and 1/2

horizontal and vertical   differentiation and integration

And there are some arbitrary subdivisions that often are treated as if they are disconnected opposites:

pure vs. applied (creating mathematics vs. solving problems)

teaching and learning, creating vs. teaching, arts and sciences

In an ideal world, opposites exist with "Balance" -- which is the title of the following lovely and contemplative poem by Adam Zagajewski :

Clearing the Air with a Poem

     Every poem has a climate -- a collection of emotional tones that overlay and underlay its words. Today -- as the U.N. meets in NY to discuss the future climate of our planet -- I have been looking for mathy poems with a climate of advocacy, verses that let the world know that we must, soon and vigorously, take action to keep our earth habitable.
      One of the things I found is a poem (involving a couple of numbers and mathy words) by Simon Armitage that is printed on material that cleanses the air around it by absorbing pollutants.  A small photo from the website of Sheffield University is shown below -- and I urge you to follow the Sheffield link for the story of the poem and this link to see the full poem more clearly and the story behind it.  Here is Armitage's opening stanza. 

Divided selves, some of them savvy

     For social connections, it is desirable not to be pegged as a member of an outcast group.  And thus a mathematician is likely to have at least two selves -- one who lives in the world of mathematics and another separate social self that negotiates that rest-of-the-world where many fear and shun mathematics. I found a situation somewhat similar when I studied at Hunter College in Manhattan:  I needed a separate self who negotiated the city. The problem-solving farm girl who knew small towns well and big cities slightly seemed better equipped to adapt to city conversations than her fellow students could chat about anything west of the Hudson.  How many hundred miles must you drive to get to Pennsylvania? they wondered.  (The Delaware River boundary of PA is about 75 miles west of the George Washington Bridge.)
     In this vein, I present a poem that focuses on the country vs city divide -- and it involves a square look and a number.

     Green Market, New York   by Julia Spicher Kasdorf

April Celebrates Poetry and Mathematics

On April 1 (the first day of National Poetry Month and Mathematics Awareness Month) Science writer Stephen Ornes offered a guest post at The Last Word on Nothing entitled "Can an Equation be a Poem?" and on April 2 the Ornes posting appeared again, this time in the blog Future Tense at Slate.com with the title "April Should Be Mathematical Poetry Month."
     In her comment on "Can an Equation be a Poem?" Scientific American blogger Evelyn Lamb (Roots of Unity)  mentioned her math-poetry post on March 21 entitled "What T S Eliot Told Me About the Chain Rule."  Lamb quotes lines from the final stanza "Little Gidding," the last of Eliot's Four Quartets.   Here is the entire stanza with its emphasis on the mysteries of time and perspective, the circular nature of things, the difficulty of discovering a beginning.    

SHE measures the heavens . . .

Today is International Women's Day, celebrated with a charming video at google.com and here with lines from Enheduanna (2285-2250 BCE), the earliest woman known to me who was both poet and mathematician.

     The true woman who possesses exceeding wisdom,
     She consults a tablet of lapis lazuli,
     She gives advice to all lands,
     She measures off the heavens, she places the
               measuring cords on the earth.

These lines (found in the preface, translated from Sumerian sources by Ake W Sjoberg and E Bergmann S J) and much more poetry-with-math are found in Strange Attractors:  Poems of Love and Mathematics (AK Peters, 2008) -- a collection edited by Sarah Glaz and me.

Sociology of Numbers

Robert Dawson is a mathematics professor at St Mary's University in Halifax, Nova Scotia -- an active mathematician who complements his research activity with mathematics education and with poetry. The following Dawson poem appeared here in 2013 -- in the Journal of Humanistic Mathematics, a journal whose every issue contains some poetry-with-mathematics.

Some Contributions to the Sociology of Numbers     by Robert Dawson

The ones you notice first are the natural  numbers.
Everybody knows their names; they are the anchors,
the stars, the alphas, the reference points. And of course
the rational numbers, who hang out with them,
sit next to them in arithmetic class.

On shoulders of giants . . .

     Washington, DC is a city rich with both poetry and mathematics.  Last Tuesday evening I attended a Mathematical Association of America (MAA) lecture by author and math historian William Dunham (whom I knew when he taught for a bunch of years at Pennsylvania's Muhlenberg College, in Eastern Pennsylvania, not so far from my employer, Bloomsburg University).  Dunham spoke of insights gained by many hours reading the correspondence of British mathematician and scientist, Sir Isaac Newton (1642-1727).  The discoverer of "gravity,"  and, moreover, both a genius and a disagreeable man.  Still, Newton was a man who gave a nod to his predecessors, "If I have seen further it is by standing on ye sholders of Giants."

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 

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.    

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.  

Earth Day, 2013

     OUR earth is finite. 
     Its resources are
     finite. No clever
     transformation can

     convert the
     finite to
     infinite.

     We must
     learn to

     share.  

And, here is a link to a previous Earth Day posting.

Because the mind circles an idea

Besides eight books of poetry and a memoir, California poet Lucille Lang Day has co-authored a textbook, How to Encourage Girls in Math and Science -- a book of activities for teachers and parents to encourage students from kindergarten through eighth grade.  Her close connection to mathematics and science is evident in the following poem.

Because     by Lucille Lang Day

My heart will beat two billion times
because Krishna plays his flute in the forest
because the planets trace elliptical orbits
because Krishna's skin is blue
because a moon will fly in a straight line forever
unless a planet snares it
the way a woman attracts a man with her gaze 

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.

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 

Earthquake and Hurricane

It would not be easy to argue that a poem whose numbers merely identify its stanzas is "mathematical" but "Curriculum Vitae," found at poets.org and written by Pullitzer Prize winning poet Lisel Mueller, also contains the words "earthquake" and "hurricane" and thereby is significant on this Saturday in Silver Spring -- five days after a 5.8-magnitude earthquake damaged both the Washington Monument and the National Cathedral and on the very day that millions of us are watching the progress of Hurricane Irene as it storms north along the eastern coast of the US. In acknowledgment of these days, I invite you to read this fine poem:

I have dreamed geometry

   Descartes     by Jorge Luis Borges

   I am the only man on earth, but perhaps there is neither earth nor man.
   Perhaps a god is deceiving me.
   Perhaps a god has sentenced me to time, that lasting illusion.
   I dream the moon and I dream my eyes perceiving the moon.
   I have dreamed the morning and evening of the first day.