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.

Wednesday, July 9, 2014

Looking back . . .

I have been visiting my hometown of Indiana, Pennsylvania and not finding time to complete a new post -- and so I have looked back.  On July 9, 2010 I offered a sonnet by Australian poet Jordie Albiston that begins with these lines:
 
     math (after)

     first you get the number-rush as anyone
     might do      you watch your world turn to
     nought      put your foot upon the path re
     what cannot be said      I’ve heard before
 . . .

I invite you to go to the original post and read the rest.

Sunday, July 6, 2014

Poetry as Pure Mathematics

A recent email from Portuguese mathematician-poet F J "Francisco" Craveiro de Carvalho brought a 40-year-old stanza to my attention. First published in the May, 1974 issue of POETRY Magazine, we have these enigmatic lines by William Virgil Davis.  Enjoy!

       The Science of Numbers:  Or Poetry as Pure Mathematics

       Whatever you add you add at your peril.
       It is far better to subtract.  In poetry,
       Multiplication borders on madness.
       Division is the mistress we agree to sleep with. 

Thursday, July 3, 2014

Mathematician and Poet

     Should I do it?  Should I do a blog post on a novel by Brazilian poet Hilda Hilst (1930-2004) that I have begun to read but don't yet know how to understand?
     Hilst's novel, With My Dog-Eyes, newly translated by Adam Morris (Melville House, 2014), attracted my attention because its narrator is a mathematician and a poet.  Here are the lines with which the novel begins:

      from   With My Dog-Eyes     by Hilda Hilst

       The cross on my brow
       The facts of what I was
       Of what I will be:
       I was born a mathematician, a magician
       I was born a poet.

Wednesday, July 2, 2014

January - June, 2014 -- titles, dates of posts

Scroll down to find titles and dates of posts in 2014.  At the bottom is a links to lists of posts through  2013 and 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.

June 30  A recent butterfly effect
June 2Of all geometries, feathery is best . . .
June 24  Is mathematics discovered or invented?
June 20  Three thousand, and two
June 17  Found: Elementary Calculus
June 14  Number theory is like poetry 

Monday, June 30, 2014

A recent butterfly effect

The term butterfly effect has entered everyday vocabulary from the mathematics of chaos theory and refers to the possibility of a major event (such as a tornado) starting from something so slight as the flutter of a butterfly wing. This sensitivity to small changes is a characteristic of chaotic systems.  Recent news in Science magazine (9 May 2014) has drawn my attention to sea butterflies -- and the effect that ocean acidification is having on the lives of these tiny, fragile creatures -- and the environmental warning that this portends.  From the details offered in Science, I have constructed this poem of 4x4 square-stanzas:

       Warned by Sea Butterflies     by JoAnne Growney

       Sea butterflies --
       no larger than
       a grain of sand,
       named for the way  

Friday, June 27, 2014

Of all geometries, feathery is best . . .

The title for this post comes from Twinzilla (The Word Works, 2014), by Charleston poet Barbara Hagerty.  The title character of this collection is one of several poetic personalities that inhabit Hagerty's verse, and she offers a playful view of life's dualities -- sometimes versed in mathematical terminology.  Here's a sample.  

     Twinzilla Cautions *     by Barbara G. S. Hagerty

     Do not accept packages from unknown persons.
     Beware non-native strangers who may be concealing
     hazardous contraband "down there."
     Question algebra.  Dismantle thoughts traveling
     the brain's baggage carousel in parabolas.

Tuesday, June 24, 2014

Is mathematics discovered or invented?

My neighbor, Glenn, is fond of asking math-folks that he meets the question "Is mathematics discovered or invented?" -- and when he asked the question of MAA lecturer William Dunham the response was one word, delivered with a smile, "Yes." The question of invention versus discovery -- which may apply to poetry or to mathematics  --  is thoughtfully considered in "Notes toward a Supreme Fiction" by Wallace Stevens (1879-1955); here are a few lines from that poem.

       from It Must Give Pleasure,  VII     by Wallace Stevens

     He imposes orders as he thinks of them,
     As the fox and the snake do. It is a brave affair.
     Next he builds capitols and in their corridors,    

Friday, June 20, 2014

Three thousand, and two

Here is a small poem richly vivid with the contrasts of opposites:

                 beside a stone three
                 thousand years old: two
                 red poppies of today

by Christine M. Krishnasami, India, found in This Same Sky:  A Collection of Poems from around the World (selected by Naomi Shihab Nye, Aladdin Paperbacks, 1996).

Tuesday, June 17, 2014

Found: Elementary Calculus

Here is a poem by Saskatchewan poet Karen Solie.

       Found     by Karen Solie

       Elementary Calculus

                From    Elementary Calculus  A. Keith and W. J. Donaldson.
                          Glasgow:  Gibson, 1960.

       
Speed (like distance)
       is a magnitude and has no
       direction; velocity (like displacement)

       has magnitude and direction.  

Saturday, June 14, 2014

Number theory is like poetry

     Austrian-born Olga Taussky-Todd (1906-1995) was a noted and prolific mathematician who left her homeland for London in 1935 and moved on to California in 1945. Her best-known work was in the field of matrix theory (in England during World War II she started to use matrices to analyze vibrations of airplanes) and she also made important contributions to number theory. In the math-poetry anthology, Against Infinity, I found a poem by this outstanding mathematician.  

Wednesday, June 11, 2014

And Now I See . . .

     One of the ways we overcome our nervous shyness about our disabilities is by talking about them, and writing about them.  And by encountering the poetry of Kathi Wolfe.  I enjoy her work out-loud -- she is a frequent performer of her poems at local DC-area venues  -- and on the page.
     Kathi's "Blind Ambition" (in which she speaks of the monsters in arithmetic) is offered below; I first discovered this poem when it was posted by Split this Rock as poem of the week.  

Sunday, June 8, 2014

Impossible Things Before Breakfast

Literary works by Charles Lutwidge Dodgson (1832-1898, aka Lewis Carroll) are crammed with mentions of mathematics.   One of my favorites (found here with numerous others, including "Ambition, Distraction, Uglification, Derision") is this exchange from Carroll's Alice in Wonderland.

          "Alice laughed: "There's no use trying," she said; "one can't believe impossible things."
          "I daresay you haven't had much practice," said the Queen.  "When I was younger, I always did it for half an hour a day.  Why, sometimes I've believed as many as six impossible things before breakfast."

                                                                                       Alice in Wonderland 

Wednesday, June 4, 2014

Behind the cards -- mathematics

A couple of weeks ago at an MAA math lecture by Alissa Crans on the Catalan numbers, I sat near card-trick mathematician Colm Mulcahy.  And I asked him if he knew any poems about card tricks and their mathematics.
   Though he at first said "no," Mulcahy turned out to have a couple of connections up his sleeve.  From Matthew Wright he learned of "The Card Players" -- a colorful sonnet from Philip Larkin's 1974 collection High Windows and available here with selections of Adriaen Brouwer's art.  
     And Bruce Reznick reminded him of the lyrics for "The Gambler" by Kenny Rogers.  The complete lyrics may be found here; I include below a stanza that offers some instruction about counting.

Jan - May, 2014 -- titles, dates of posts

Scroll down to find titles and dates of posts in 2014.  At the bottom is a links to lists of posts through  2013 and 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.

May 30  Squirrel Arithmetic
May 29  Phenomenal Woman
May 25  How many grains of sand?
May 23  Math rap
May 20  Public Image of a Mathematician

Friday, May 30, 2014

Squirrel Arithmetic

     My maternal grandfather, James Edgar Black (1871-1931) was a western Pennsylvanian, a carpenter, and a man I never knew.  But Ed, one of my cousins, found among our grandfather's long-stored things a scrapbook of collected poems and other miscellany that he recently passed on to me.  

Thursday, May 29, 2014

Phenomenal Woman

Yesterday morning Maya Angelou (1928-1914) left us. But she has not left us alone.  Her voice is with us, cheering us to be more than we were, to be all that we can become.  Places to read her words and words about her include PoetryFoundation.org (scroll down past the bio for links to poems), Poets.org, The Washington Post, and Angelou's website.

Angelou's poetry is filled with the geometry and motion of womanhood.  For example: 

Sunday, May 25, 2014

How many grains of sand?

Recently one of my friends used "all the grains of sand" as an example of an infinite set "because it is impossible to count them all" and -- even as I rejected his answer -- I wondered how many of my other friends might agree with it.  In the following poem, mathematician Pedro Poitevin considers a similar question as he reflects on the countability of the birds in the night sky.

       Divertimentum Ornithologicum      by Pedro Poitevin

                              After Jorge Luis Borges's Argumentum Ornithologicum.

       A synchrony of wings across the sky
       is quavering its feathered beats of flight.
       Their number is too high to count -- I try 

Friday, May 23, 2014

Math rap

     Harry Baker is a Slam Champion who studies Maths at Bristol University, UK -- and his poetry sometimes features math, often having fun with the topic.  His web page has a link to a rap about maths and at the JMM reading in Boston in 2012, Baker submitted this rap, 59 (a love story, now on YouTube), for presentation that evening.

Tuesday, May 20, 2014

Public Image of a Mathematician

From John Dawson -- a professor emeritus of mathematics at the Penn State York campus and well-known for his publications in mathematical logic, often focusing on the life and work of Kurt Godel -- a poem on a topic that this blog visits from time to time, portraits of mathematicians.

       Public Image     by John W. Dawson, Jr.

       Please,
       I'm not an accountant.
       No,
       Mine doesn't always balance either.
       What do I do then?
       Well,
       On good days
       I prove theorems; 

Friday, May 16, 2014

Pound on poetry and mathematics

HERE at PoetryFoundation.org we find an article by Carl Sandburg (1878-1967), published in POETRY Magazine in 1916, in which Sandburg offers highest praise to poet Ezra Pound (1885-1972). Sandburg includes this quote from a 1910 essay by Pound that connects poetry and mathematics.

"Poetry is a sort of inspired mathematics, which gives us equations, 
not for abstract figures, triangles, spheres and the like, but equations 
for the human emotions.  If one have a mind which inclines to magic
rather than science,  one will prefer to speak of these equations 
as spells or incantations; it sounds more arcane, mysterious, recondite."

The complete article is available here.

And, in a footnote* to the poem "In a Station of the Metro" -- found in my Norton Anthology of Modern Poetry we find a bit more of Pound's mathematical thinking. 

Tuesday, May 13, 2014

Land without a square

Here is a bit of light verse from the pen of John Updike (1932-2009).

ZULUS LIVE IN LAND 
WITHOUT A SQUARE     by John Updike

               A Zulu lives in a round world.  If he does not leave his reserve. 
     he can live his whole life through and never see a straight line.
                                             --headline and text from The New York Times

In Zululand the huts are round,
The windows oval, and the rooves
Thatched parabolically.  The ground
Is tilled in curvilinear grooves.

Saturday, May 10, 2014

Barbie (b 1959) said (c 1990) "math is hard"

On April 24 I had the pleasure of reading at the Nora School with Martin Dickinson and Michele Wolf.  Back in March I had posted Dickinson's "Homage to Euclid" but mathematics is not a a focus of Wolf's work.  However, her poem below about Barbie has numbers, and any mention of Barbie reminds me of the controversy over "math is hard" -- one of the speeches uttered by an early 90's version of this doll.  (Please visit this posting from June 14, 2010 --  on "Girls and Mathematics" for additional Barbie-comments and more Barbie poetry.)   Here, now, please enjoy Wolf's poem:

Barbie Slits Open Her Direct-Mail Offer to Join AARP  
                                                                             by Michele Wolf

My worth is most inflated when, on tiptoes, I pose
In my original box, never handled, especially if I date
Back to '59 or '60.  But that is rare.  I am more used
To breaking out, to being the damp flamingo
Pecking to leave the shell.  I prefer moving forward.
I was an astronaut in '65, a surgeon in '73.  Last year

Wednesday, May 7, 2014

May 6, 1954

I learned about it via a news broadcast on Pittsburgh radio station KDKA and, for some reason, the event stuck firmly in my memory.  I was 13 years old and on May 6, 1954 Roger Bannister ran a mile in less than 4 minutes. The integer 4 is a perfect square as was Bannister's age then -- 25.  Alternatively, 13 is prime.  As is 60 + 13 = 73.  Yesterday marked 60 years since Bannister broke the record. I have come to love running.  And playing with numbers.

          I . . . never  
          will run out
          of numbers.

Sunday, May 4, 2014

A pure mathematician (not!)

Poet Arthur Guiterman (1871-1943) was known for his humorous verse. Here is "A Pure Mathematician" -- a poem that stereotypes mathematicians in familiar, unflattering ways (from The Laughing Muse (Harper Brothers, 1915)).  In contrast to Guiterman's verse that pokes fun at mathematicians, I invite you to visit this posting from 28 January 2011 to read Sherman Stein's "Mathematician" -- a poem that not only is more fair to the profession but also features a female mathematician.

     A Pure Mathematician     by Arthur Guiterman

     Let Poets chant of Clouds and Things 
          In lonely attics! 
     A Nobler Lot is his, who clings 
          To Mathematics. 
     Sublime he sits, no Worldly Strife 
          His Bosom vexes, 
     Reducing all the Doubts of Life 
          To Y's and X's. 

April, 2014 -- dates, titles of posts

Scroll down to find titles and dates of posts in 2014.  At the bottom is a links to lists of posts through  2013 and 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.

      Apr 30  Math, Magic, Mystery -- and so few women
     Apr 28  Words that warn
     Apr 25  Too many selves
     Apr 21  A Cento from Arcadia
     Apr 20  Remembering Nina Cassian
     Apr 18  Poetry of Romania - Nora School, Apr 24
     Apr 15  Dimensions of a soul
     Apr 12  A Vector Space Poem 

Wednesday, April 30, 2014

Math, Magic, Mystery -- and so few women

Today, April 30, is the final day of Mathematics Awareness Month 2014; this year's theme has been "Mathematics, Magic and Mystery" and it celebrates the 100th anniversary of the birth of one of the most interesting men of mathematics; educated as a philosopher, Martin Gardner wrote often about mathematics and sometimes about poetry.  Gardner described his relationship to poetry as that of "occasional versifier" -- he is the author, for example, of:

     π goes on and on
     And e is just as cursed
     I wonder, how does π begin
     When its digits are reversed?   

Monday, April 28, 2014

Words that warn

     Somewhere in a high school English class was a small topic that intrigues me still -- "questions that expect the answer 'yes'."  A door opened.  Letting me see that what we say has expectations as well as information. In graduate school math classes we considered the warning word "obviously" -- in a proof, it was likely to mean "I'm sure it's true but am not able to explain."
     As I muse today about language I am wondering how unsaid words affect the population of women in mathematics, affect the numbers (too small) of women publishing mathematics.  Thinking about this in the light of a wonderful time on Saturday greeting visitors to an AWM (Association for Woman in Mathematics) booth at the biennial USA Science and Engineering Festival.  Temple University professor and AWM member Irina Mitrea did an amazing job planning and coordinating  the AWM booth where hundreds of young people got some hands-on experience with secret codes and ciphers.

Friday, April 25, 2014

Too many selves

In my childhood home, numbers were used with care and precision.  There would be teasing when I would use the adverb "too" --- as if when I said "I had to walk too far" I had tried to describe an unbounded distance, greater than any possible span.  Now as an adult I continue to be cautious (and intrigued) with use of that word.  And I am drawn to the uses of "too many" and "count" in the following poem from David Orr, poetry columnist for the New York Times Book Review.

The Chameleon    by David Orr

Alone among the superheroes,
He failed to keep his life in balance.
Power Man, The Human Shark--they knew
To hold their days and nights in counterpoise,
Their twin selves divided together,
As a coin bears with ease its two faces.

Monday, April 21, 2014

A Cento from Arcadia

Last week I had the enjoyable privilege of visiting with mathematician-poet Marion Cohen's math-lit class, "Truth and Beauty" at Arcadia University -- and the class members helped me to compose a Cento (given below), a poem to which each of us contributed a line or two of poetry-with-mathematics.  Participants, in addition to Dr. Cohen and me, included these students: 
          Theresa, Deanna, Ian, Collin, Mary, Grace, Zahra, Jen, Jenna, 
          Nataliya, Adeline, Quincy, Van, Alyssa, Samantha, Alexis, Austin.
Big thanks to all!

Sunday, April 20, 2014

Remembering Nina Cassian

Exiled Romanian poet Nina Cassian (1924-2014) died last week in Manhattan.  Cassian was an outspoken poet whom I admired for her political views; she also was connected to mathematics -- in her subject matter and her friends.  (See, for example, this posting from January 31, 2011.)

       Equality     by Nina Cassian

       If I dress up like a peacock,
       you dress like a kangaroo.
       If I make myself into a triangle,
       you acquire the shape of an egg.
       If I were to climb on water,
       you'd climb on mirrors.

       All our gestures
       Belong to the solar system.

"Equality" is in Cheerleaders for a Funeral (Forrest Books, 1992), translated by the author and Brenda Walker.

Friday, April 18, 2014

Poetry of Romania - Nora School, Apr 24

     During several summers teaching conversational English to middle-school students in Deva, Romania, I became acquainted with the work of Romanian poets.  These included:  Mikhail Eminescu (1850-1889, a Romantic poet, much loved and esteemed, honored with a portrait on Romanian currency), George Bakovia (1881-1957, a Symbolist poet, and a favorite poet of Doru Radu, an English teacher in Deva with whom I worked on some translations of Bacovia into English), Nichita Stanescu  (1933-1983, an important post-war poet, a Nobel Prize nominee -- and a poet who often used mathematical concepts and images in his verse).
     On April 24, 2014 at the Nora School here in Silver Spring I will be reading (sharing the stage with Martin Dickinson and Michele Wolf) some poems of Romania -- reading both my own writing of my Romania experiences and some translations of work by Romanian poets.     Here is a sample (translated by Gabriel Praitura and me) of  a poem by Nichita Stanescu:

Tuesday, April 15, 2014

Dimensions of a soul

In the poem below, Young Smith uses carefully precise terms of Euclidean geometry to create a vivid interior portrait.

     She Considers the Dimensions of Her Soul   by Young Smith

     The shape of her soul is a square.
     She knows this to be the case
     because she often feels its corners
     pressing sharp against the bone
     just under her shoulder blades
     and across the wings of her hips. 

Saturday, April 12, 2014

A Vector Space Poem

     As a Columbia undergraduate, media artist Millie Niss (1973-2009) majored in mathematics and was enrolled in a math PhD program at Brown University when she decided to make writing her full-time career.  Before her untimely death in 2009 Niss was well-established in Electronic Literature.   Here is a link to "Morningside Vector Space," one of the poems at Niss's website Sporkworld (at Sporkworld, click on the the E-poetry link).
     Niss's electronic poem retells a story (inspired by the Oulipian Raymond Queneau's Exercises de Style) in many different styles and following many different constraints. The computer is central to the retelling as the text varies almost smoothly along two dimensions, controlled by the position of the mouse pointer in a colored square (to the right in the screen-shot below).  Behind this poetry is the mathematical concept of a two-dimensional vector space, in which each point (or text) has a coordinate with respect to  each basis vector (version of the text, or dimension along which the text can change).

Thursday, April 10, 2014

Fractal Geometry

Lee Felice Pinkas is one of the founding editors of cellpoems -- a poetry journal distributed via text message.  I found her poem,"The Fractal Geometry of Nature" in the Winter/Spring 2009 Issue (vol.14, no 1) of Crab Orchard Review.

The Fractal Geometry of Nature       by Lee Felice Pinkas

               Most emphatically, I do not consider
               the fractal point of view as a panacea. . .
                                             --Benoit Mandelbrot (1924-2010)

Father of fractals, we were foolish
to expect a light-show from you,

hoping your speech would fold upon itself
and mimic patterns too complex for Euclid. 

Monday, April 7, 2014

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.    

Saturday, April 5, 2014

Logic in limericks

In these lines, Sandra DeLozier Coleman (who participated in the math-poetry reading at the Joint Mathematics Meetings in Baltimore in January) speaks as a professor reasoning in rhyme, explaining truth-value technicalities of the logical implication, "If p then q" (or, in notation, p -- > q ).

     The Implications of Logic     by Sandra DeLozier Coleman

     That p --> q is true,
     Doesn’t say very much about q.
     For if p should be false,
     Then there’s really no loss
     In assuming that q could be, too.  

Wednesday, April 2, 2014

Can you SEE the monument?

Links to non-intersecting celebrations of April
as National Poetry Month      and      Mathematics Awareness Month
are available here and here.

Recently I revisited my copy of Elizabeth Bishop:  The Compete Poems, 1927-1979 (FSG, 1999) and turned to "The Monument" -- a poem mathematically interesting for its geometry.  Here are the opening lines; the complete text and many other Bishop poems are available online here:

from  The Monument     by Elizabeth Bishop  (1911-1979)

     Now can you see the monument? It is of wood
     built somewhat like a box. No. Built
     like several boxes in descending sizes
     one above the other.
     Each is turned half-way round so that
     its corners point toward the sides
     of the one below and the angles alternate.  

March, 2014 -- dates, titles of posts

Scroll down to find titles and dates of posts in 2014.  At the bottom is a links to lists of posts through  2013 and 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.

Mar 30  Split This Rock 2014 was great!
Mar 27  Women's History -- celebrate Caroline Herschel
Mar 23  Homage to Euclid
Mar 20  One geometry is not enough
Mar 16  Making something of nothing 

Sunday, March 30, 2014

Split This Rock 2014 was great!


Split this Rock's biennial 4-day poetry festival ended today and the air in Washington, DC is electric with the passion of engagement -- minds and bodies energized by fine poems that demand opportunity and justice for all.  I was glad to be there, participating in workshops and readings led by today's finest poetic voices

Thursday, March 27, 2014

Women's History -- celebrate Caroline Herschel

     In the sixties when I spent a year at Bucknell University, I was a member of the "Department of Astronomy and Mathematics," a pairing of related disciplines. In past centuries, Mathematics was included in the liberal arts. In the twenty-first century often it is paired with Computer Science, and Astronomy is paired with Physics.  And so it goes.
      Poems by Laura Long tell of the pioneering work by astronomer Caroline Herschel -- a discoverer of eight comets, a cataloger of stars.  Long describes her recent collection,  The Eye of Caroline Herschel:  A Life in Poems (Finishing Line Press, 2013), in this way:      
                  This is a work of the imagination steeped in historical siftings 
                         and the breath between the lines.  
Here is the opening poem:  

Sunday, March 23, 2014

Homage to Euclid

In my preceding post (20 March 2014) Katharine Merow's poem tells of the new geometries 
developed with variations of Euclid's Parallel Postulate.  
Martin Dickinson's poem, on the other hand, tells of richness within Euclid's geometry.
Poet and attorney Martin Dickinson is with the Environmental Law Institute and is a long term activist. The Nora School Poetry Series has scheduled both of us (along with Michele Wolfe) to be part of a reading next month on April 24, 2014 .  It is my additional good fortune that conversations with Dickinson have included his sharing with me this mathy poem:

     Homage to Euclid       by Martin Dickinson

     What points are these,
     visible to us, yet revealing something invisible—
     invisible, yet real? 

Thursday, March 20, 2014

One geometry is not enough

Writer Katharine Merow is in the Publications Department of the Washington DC headquarters of the MAA (Mathematical Association of America) and she is one of the poets who participated in the "Reading of Poetry with Mathematics" at JMM in Baltimore last January.  Here is the engaging poem Merow read at that event -- a poem that considers the 19th century development of new and "non-euclidean" geometries from variants of Euclid's fifth postulate, the so-called parallel postulate:

       Geometric Proliferation    by Katharine Merow

Sunday, March 16, 2014

Making something of nothing

     Was zero invented or discovered?  When and how?  By whom?  In "The Origin of Zero" -- an article published in 2009 in in Scientific American --  John Matson introduces an interesting history of zero (something vs. nothing and so on...).  Recently through the Splendid Wake poetry project (with an open-to-all meeting on Friday March 21 -- go here for details) I have connected with Washington DC poet William Rivera who has shared with me this poem that also examines the puzzle of the somethingness of nothing.

Nothing Changes Everything     by William Rivera

Thursday, March 13, 2014

Tomorrow is Pi Day

     Tomorrow is Pi Day and I offer no new poems but supply links to several previous posts.  Poetry of π may be found on 23 August 2010 (an "irrational sonnet" by Jacques Bens),  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) and 10 March 2013 (the opening lines of a poem "3.141592 . . ." by Peter Meinke).

Tuesday, March 11, 2014

Tragedy of the Commons

Thinking in syllable-squares,
recalling ecologist Garrett Hardin (1915-2003)
and his 1968 wisdom, "Tragedy of the Commons."

Maximum               
may not be                   
optimum.

Saturday, March 8, 2014

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.

Wednesday, March 5, 2014

A poetry album by Lucille Clifton

March is Women's History Month and here, today, I celebrate by acknowledging a special woman, Lucille Clifton (1936-2010).  From 1979–1985 Clifton served as Poet Laureate of Maryland.  Her poetry celebrates both her African-American heritage and her womanhood.  Here is "album," a poem in Clifton's spare and un-capitalized style -- and containing a few numbers to help us keep track of the times that are changing.

album     by Lucille Clifton

Sunday, March 2, 2014

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.

February, 2014 -- dates, titles of posts

Scroll down to find titles and dates of posts in January, 2014.  At the bottom is a links to lists of posts through  2013 and 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.

Feb 26  Long division is difficult . . . 
Feb 23  Angles in Alaska
Feb 20  Excitement of Proving a Theorem
Feb 18  Wartime recurrence
Feb 13  Mother Courage -- and speaking of opposites 

Wednesday, February 26, 2014

Long division is difficult . . .

Last Monday included a visit with old friends of whom I see too little, Silver Spring artist Mark Behme -- with whom I did some art-poetry collaboration a few years  back -- and Chevy Chase artist-writer-economist-activist, Kyi May Kaung.  After lunch at nearby Mandalay we three walked to Mark's studio and hung out for a while, admiring and talking about his new work.  When I arrived home, I dug out several poems developed from Mark's sculpture -- finding some pieces I'd not thought about for a while.  Here is one of these, a mathy poem that partners with Mark's "Split Tales."

          Which Girl Am I?      by JoAnne Growney

          The girl who’s not forced to divide
          into the good girl and the real one
          is a lucky one.  I was eleven
          when I felt a crack begin.

Sunday, February 23, 2014

Angles in Alaska

Last Thursday evening I was honored to read in Takoma Park's Third Thursday poetry series -- along with poets Judy Neri and Kathleen O'Toole -- and my reading focused on poems of my times in Alaska.  The brilliant geometry of  our 49th state affected me strongly and "Angles of Light" became the title poem for a chapbook I published with Finishing Line Press in 2009.  Here is section 3 (of 7) from that poem.

Thursday, February 20, 2014

Excitement of Proving a Theorem

Wow!  From first sighting, I have loved this description:

       I prove a theorem and the house expands:
       the windows jerk free to hover near the ceiling,
       the ceiling floats away with a sigh.

These lines from "Geometry" by Rita Dove express -- as well as any string of twenty-four words I can think of -- the excitement experienced from proving a theorem.

Tuesday, February 18, 2014

Wartime recurrence

In mathematics, it is not unusual to define an entity using a recurrence relation. 
For example, in defining powers of a positive integer:
       The 2nd power of  7  may be defined as  7  x  71 ;
               the 3rd power of  7  may be defined as  7  times  72
              and the 4th power is  7  times  73,
              and, in general, for any positive integer n,  7n+1  =  7  x  7n

Several weeks ago I attended a reading of fine poetry here in Silver Spring at the Nora School  -- a reading that featured DC-area poets Judith Bowles, Luther Jett, and David McAleavey.  I was delighted to hear in "Recessional" -- one of the poems presented that evening by Jett -- the mathematical pattern of recurrence, building stepwise  with a potentially infinite number of steps (as with the powers of 7, above) into a powerful poem.  I include it below:  

Thursday, February 13, 2014

Mother Courage -- and speaking of opposites

     Bertolt Brecht (1898-1956) was a poet, but I have not found mathematics in his poems.  Still, I want to note here a fantastic performance of his play, Mother Courage and her Children, starring Kathleen Turner and a talented ensemble at Washington,DC's Arena Stage.  Invited by my neighbors, Mitzi and Pati, I joined them yesterday for a riveting performance.   Here is a link to "How Fortunate the Man with None," a Brecht poem  heartily sung as "Solomon's Song" in the current musical production.
     And here, with a nod to the mathematical bent of this blog, is a quote from Brecht's Mother Courage that involves counting; also, it is one of many examples of a strategy that Brecht uses often and well -- encouraging an idea by speaking of its opposite. 

Monday, February 10, 2014

To love, in perfect syllables

     While looking for Valentine verse with a math connection, I opened my copy of The Complete Illustrated Works of Lewis Carroll (Chancellor Press, 1982).  And found this one in which Carroll (a pen name for English mathematician Charles Lutwidge Dodson (1832-1898)) uses the word one twice and the word half twice and has counted sounds so that in each line the number of syllables is either a cube of an integer or is perfect.

        Lesson in Latin     by Lewis Carroll    (May 1888)   

Friday, February 7, 2014

Love and Mathematics -- Please be my Valentine!

Poet extraordinaire Maxine Kumin (1925-2014) died yesterday.  
Here is a link to a wonderful eleven of her poems from Persimmon Tree

Late in 2007, AKPeters released Strange Attractors:  Poems of Love and Mathematics, edited by Sarah Glaz and me.  Recently at a Howard County Math Festival I met a young man who browsed my copy of this anthology and found it the perfect Valentine.  And so might you.  Below I include a sample from the collection -- a love sonnet by Jean de Sponde (1557-1595), translated from the French by David Slavitt.

 Several previous postings have offered love poems of mathematics and mathematicians; 

Wednesday, February 5, 2014

Six Million

       Sometimes numbers become labels for particular events.  When I was growing up, all of us knew 1492 as a label for the discovery of America.  And 1941 recognized Pearl Harbor.  The following selection from a poem by Israeli poet Yehuda Amichai (1924-2000) reminds us of the awful importance of 6 million
       While mentioning this poem of witness and remembering, I want also to remind you of the very special Split This Rock Poetry Festival: Poems of Provocation & Witness, to held in Washington, DC, March 27-30, 2014. (Early-bird registration ends on Valentine's Day, February 14th at midnight.)  Hope to see you there. 

Sunday, February 2, 2014

Forecasting snow and poetry

Snowbound

is that other world
in which no schedules sit
and no ambitions flare
to interrupt the bluest sky
and whitest field
and coldest air

January, 2014 -- dates, titles of posts

Scroll down to find titles and dates of posts in January, 2014.  At the bottom is a links to lists of posts through  2013 and 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.

   Jan 31  On shoulders of giants . . . 
   Jan 28  Little Boxes
   Jan 28  Graffiti Calculus
   Jan 25  Mathematics is like . . .  

Friday, January 31, 2014

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."

Tuesday, January 28, 2014

Little Boxes

It is hard to know what to say.
Pete Seeger died yesterday at age 94.  
94 = 2 x 47.  47 is prime.
Here is a link to Pete singing "Little Boxes."
Song lyrics are poems.

Graffiti Calculus

     In my dreams I am an artist -- a cartoonist, perhaps, or a graffiti artist -- so skilled with lines and curves and so clever that my art gives pleasure AND delivers a punch.
     And so I am gratefully into the math-art connections provoked by a new book by Mary-Sherman Willis -- aptly titled Graffiti Calculus (CW Books, 2013).  I first met Willis in December, at Cafe Muse (where I will read next Monday, Feb 3 with Stephanie Strickland) and it was my pleasure also to hear her read again from that collection at the Joint Mathematics Meetings.  These poems by Willis give us, in sixty poetic chapters, the story of a mother seeking her son by following his graffiti tags through the city.  Here is a sample, sections 5 and 6: 

Saturday, January 25, 2014

Mathematics is like . . .


For angling may be said to be so like the mathematics,
that it can never be fully learnt; at least not so fully, 
but that there will still be more new experiments left 
for the trial of other men that succeed us.  

 Izaak Walton (1594-1683), The Compleat Angler (1653-1676)

Wednesday, January 22, 2014

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" :