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.

Mathematics of love . . .

"Mathematics of Love" is the title poem of a collection by John Edwin Cohen (1941-2012), published in 2011 by Anaphora Literary Press and presented here with press permission.  Cohen has used mathematics playfully and does what a mathematician never dares to do, use a mathematical term with other than its precise meaning. Still, perhaps, even math folks may enjoy this application of geometric shape and poetic license!

Mathematics of Love     by John Edwin Cohen

1.   

       Engine of joy
       arithmetic and sincere
       holding the hemisphere
              and geometry of
              youth

Averaging . . . geometry of the center

Perhaps partly due to his experience as an Air Force pilot during World War II,  Harold Nemerov (1920 - 1991) uses geometry with deft precision as he describes phenomena around him.  Here is a poem inspired by a 1986 news item.

Found Poem     by Howard Nemerov 

           after information received in The St. Louis Post-Dispatch, 4 v 86

The population center of the USA
Has shifted to Potosi, in Missouri.

The calculation employed by authorities
In arriving at this dislocation assumes

That the country is a geometric plane,
Perfectly flat, and that every citizen,

Pool -- a game of geometry?

     Years ago I taught  a "liberal arts mathematics" course -- and for a time we used the text  Mathematics, a Human Endeavor: A Textbook for Those Who Think They Don't Like the Subject by Harold R. Jacobs (W H Freeman, 1971);  the text's topics included one new to me, the geometry of the paths of billiard balls.  The ease I found with this mathematics ill-prepared me for the skill I needed to avoid embarrassment at a neighbor's new pool table -- and the memories of it all drew me immediately into Dan Brown's poem, "Why I Never Applied Myself to Pool," found in the March 2013 issue of Poetry.

       Why I Never Applied Myself to Pool      by Dan Brown

Geometry of distance

     Some of the poems herein arrive as gifts from friends.  Today's poem came via e-mail from Susan (a Californian whom I have gotten to know when she visits my neighbor, Priscilla).  Susan got it from Larry Robinson who connected me with the poet, Richard Retecki, for permission to post it here.
     As has been said in other contexts, It takes a village . . .    
     Thanks to you all!

     ascension           by Richard Retecki

               for Jonathan Glass

     the geometry
     of distance annoys
     is unfilled

Enough for everyone -- Russell Libby

Are you looking for a poem on a particular math topic?  One search strategy is to go to the Poetry Foundation website (another is to click on the green SEARCH BOX in the right column of this blog) and enter your math term into the search box; if, for example, you enter "geometry" one of the poems you find will be this one by Russell Libby (1956  -2012).  Both poet and organic farmer, Libby believed in sustainability:  all it takes is one well-cared-for seed to grow and spread.  Here is his "Applied Geometry." 

     Applied Geometry     by Russell Libby

     Applied geometry,   

     measuring the height   

     of a pine from   

     like triangles,   

Geometry of a hawk's flight

One of the poets featured in the current Poetic Likeness Exhibit -- featuring photographs and paintings and sculptures of poets along with a few favorite lines -- at the National Portrait Gallery is Robert Penn Warren (1905-1989).   Although I hugely admire Warren's novel, All the King's Men, I am not very familiar with Warren as a poet.  The gallery posted, beside Warren's photo, a few lines about a hawk.  And I went searching online to find more.  The exhibit's quote was from Warren's "Mortal Limit" but my search led first to "Evening Hawk" -- with a first stanza bright with geometry;  I offer that stanza here.

Light and laws, letters and numbers

     We viewers of the world see it through a variety of lenses -- for some of us music shapes our view, for others it is color, for others history; still others see through a lens of mathematics  -- perhaps geometry, or number, or randomization or . . .
     The Greek Nobelist (1979), poet, and essayist Odysseus Elytis (1911-1996) was once nicknamed "the sun-drinking poet" for views seen in The Axion Este / Worthy It Is.   A sample from this collection, "They Came," is offered below -- this poem is not only rich in the imagery of light but also pays tribute to geometry and numbers.   

Latitude, longitude, and inauguration

Elizabeth Bodien now lives in a rural area in eastern Pennsylvania -- settling there after other lives in California, in Japan, in West Africa.  Here is a narrative poem using the geographic numbers of latitude and longitude drawn from the years that she was a childbirth instructor in West Africa.

Zero-Zero     by Elizabeth Bodien

Cities of Mathematics

Judith Johnson's multi-part poem, "Cities of Mathematics and Desire" is geometric in its descriptive power; scenes are constructed and mapped with the careful attention of a mathematical proof.  At a math-poetry reading a year ago today (January 6, 2012) at the Joint Mathematics Meetings in Boston, Johnson read part 4 of this poem -- and it is included here in the July 2012 issue of the Journal of Humanistic Mathematics.   Read on for part 2 of this 9-part poem:

2.  Of the Power of Chess to Feed the Starved     by Judith Johnson

Geometry of a Gun

Despite the recent news media chatter about a "fiscal cliff," the event that we can't (and mustn't) stop thinking about is the December 14 massacre at the Sandy Hook Elementary School in Newtown, Connecticut. This draws me to a poem by Joan Mazza (whose poem "Digits" was featured earlier this week on New Year's Day); this new poem deals with the geometry of eggs and of bullets. Please think of gun control.

     Geometry Lesson       by Joan Mazza 

Symmetry in poetry

In Euclidean Geometry, objects retain their size and shape during rigid motions (also called symmetries); one of these is translation -- movement of an object from one place to another along a straight line path.  Here are a few lines by Alberta poet Alice Major that explore the paths of rhyme as a sound moves to and fro within a poem :

     Rhyme's tiles slide
               from line
     to line, a not-so-rigid motion --
     a knitted, shifting symmetry
               that matches 'tree' 

Geometry . . . a way of seeing

Today's poem is not only a fine work of art, it is also -- for me-- a doorway to memory.   I first heard it in the poet's voice when he visited Bloomsburg University in the late 1980s,  and I was alerted to the reading and to James Galvin's work by my most dear friend, BU Professor of English Ervene Gulley (1943-2008).   Ervene had been a mathematics major as an undergraduate but moved on from abstract algebra to Shakespeare.  Her compassion, her broad-seeing view, and her fierce logic served her well in the study and teaching of literature.  And in friendship.  I miss her daily.  She, like Galvin, questioned life and probed its geometry.

The view from here -- or there

From Nashville math teacher and blogger, Tad Wert, I learned of this poem, "Geometry, Lost Cove" by his Harpeth Hall School colleague, Georganne Harmon; in it, Harmon examines the contrasts in appearances when objects are seen from different distances. (And the mathematician goes on to say, Ah, yes -- in other words, some mappings of a space do not preserve distance.)

    Geometry, Lost Cove     by Georganne Harmon

    The ridge across this cove
    is straight as a ruled line,
    its bend as pure as an angle
    on a student’s quadrilled page.
    Beyond it another ridge lies
    straight-backed, as well,
    drawn off by its touch with sky.

Is Algebra Necessary?

     Anticipating my interest, several friends sent me links to a late-July opinion piece in The New York Times entitled "Is Algebra Necessary?" (written by an emeritus political science professor, Andrew Hacker).   I more-or-less agree with Hacker that algebra is not necessary in most daily lives or places of employment.  In fact, years ago I developed a non-algebra text, Mathematics in Daily Life,  for a course designed to satisfy a math-literacy requirement at Bloomsburg University.  On the other hand, my own fluency in the language of algebra opened doors to calculus and to physics and so many other rooms of knowledge that I have loved.
     Expressing algebraic issues in verse, we have this thoughtful poem by Jeannine Hall Gailey, Poet Laureate of Redmond, Washington (home of Microsoft). 

It Crossed My Mind

     In Elinor Gordon Blair --  my English teacher during my junior and senior years at Indiana Joint High School in Indiana, Pennsylvania -- I found a woman who became a life-long inspiration to me.  An insatiable reader and always curious, Elinor Blair seemed to learn from every thing that came along. Such an excellent strategy  -- and I learned it from her.  
     Mrs Blair -- is my habit to continue to call her by this formal name -- still lives in Indiana and she is 99 years old.  Three years ago she published a poetry collection, It Crossed My Mind.  These following stanzas from Blair's collection use imagery from geometry to describe the destructive way in which "skeletons of steel" have remade our American landscapes. 
     Thank you, Mrs. Blair, for these lines and for the ways you have enriched my life.

Math super-hero

One day not long ago I told my Silver Spring neighbor, Nancy KapLon (nee Lon), of my interest in helping outstanding math-women to be more widely known.  Nancy told me about her wonderful and excellent favorite teacher -- geometer Jean Bee Chan of Sonoma State University in California. Nancy ('93) was a  first generation college student and Dr. Chan, as her mentor, guided her through the undergraduate experience to graduation with distinction and graduate school. Here is a syllable snowball, grown in Chan's honor. 

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: 

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.

Portraits of a mathematician

Ideas for this posting began with my post on 30 October 2011 in which I selected 7 favorite lines of poetry as a sort of self-portrait.  That posting led to an exchange with blogger Peter Cameron -- which prompted me to write these abecedarian portraits of a mathematician.

   I know a mathematician . . .     by JoAnne Growney  

   always busy
   counting, doubting
   every figured guess,
   haply idling,
   juggling, knowing
   logic, measure, n-dimensions,
   originating
   playful quests,
   resolutely seeking theorems,
   unknowns vanish :
   wrong xs, ys -- zapped.