What is beauty? Is mathematics beautiful?

     My thoughts have been turned to the beauty of mathematics by stumbling onto a very fine article, "Beauty Bare: The Sonnet Form, Geometry and Aesthetics," by Matthew Chiasson and Janine Rogers -- published in 2009 in the Journal of Literature and Science and available online here.
      The article opens with this quote from A Mathematician's Apology (see p. 14) by G. H. Hardy:       Beauty is the first test:  there is no permanent place 
                                                   in the world for ugly mathematics.

Today I'm puzzling over what "beauty" means . . .   

Blog history -- title, links for previous posts . . .

      My first posting in this blog was nearly eight years ago (on March 23, 2010).  If, at the time, I had anticipated its duration, I should have made a plan for organizing the posts.  But my ambitions were small.  During the time I was teaching mathematics at Bloomsburg University, I gathered poetry (and various historical materials) for assigned readings to enrich the students' course experiences. After my retirement, I had time to want to share these materials -- others were doing well at making historical material accessible to students but I thought poetry linked to mathematics needed to be shared more.  And so, with my posting of a poem I had written long ago celebrating the mathematical life of Emmy Noether, this blog began.  Particular topics featured often in postings include -- verse that celebrate women, verses that speak out against discrimination, verses that worry about climate change.   

You're invited to:
Scroll through the titles below, browsing to find items of interest
among the more-than-nine-hundred postings since March 2010
OR 
Click on any label -- a list is found in the right-hand column below the author profile 
OR
Enter term(s) in the SEARCH box -- and find all posts containing those terms.

 For example, here is a link to the results of a SEARCH using    math women 

And here is a link to a poem by Brian McCabe that celebrates math-woman Sophie Germain.
This link reaches a poem by Joan Cannon that laments her math-anxiety.
This poem expresses some of my own divided feelings.

                                       2017 Posts

Math-Stat Awareness Month -- find a poem!

APRIL is Mathematics and Statistics Awareness Month
AND
National Poetry Month!

 Celebrate with a MATHY POEM, found here in this blog!  Scroll down!

If you are looking for mathy poems on a particular topic, the SEARCH box in the right-column may help you find them. For example, here is a link to posts found when I searched using the term "parallel."  And here are posts that include the term "angle."   To find a list of additional useful search terms, scroll down the right-hand column. 

For your browsing pleasure, here are the titles and dates of previous blog postings,

moving backward from the present.  Enjoy!

Mar 31  Math and poetry in film
Mar 28  Split this Rock, Freedom Plow Award, April 21
Mar 27  Math-themed poems at Poets.org
Mar 23  Remember Emmy Noether! 

Poems starring mathematicians

      One of the challenges posed by a multi-year blog is locating interesting old posts.  One of  my frequent early topics was "poems starring mathematicians" and I offer links to several of these from 2011 below:
     December 8 "Monsieur Probability" by Brian McCabe
     November 13  My abecedarian poems, "I Know a Mathematician" and "Mathematician" 
     July 5  "Fixed Points" by Susan Case -- about mathematicians in Poland during WWII
     July 2  "To Myself" by Abba Kovner
     January 30  "Mr Glusenkamp," a sonnet to a geometry teacher by Ronald Wallace
     January 28  "Mathematician" by Sherman K Stein

     And, here is a link, via PoemHunter.com to "The Mathematician in Love," a poem by William John Macquorn Rankine, a poem that appears also in the multi-variable  anthology, Strange Attractors:  Poems of Love and Mathematics (AK Peters, 2008), edited by Sarah Glaz and me.  Here is the first (of 8) stanza of Rankine's entertaining poem:

          A mathematician fell madly in love
          With a lady, young, handsome, and charming:
          By angles and ratios harmonic he strove
          Her curves and proportions all faultless to prove.
          As he scrawled hieroglyphics alarming.

"The Mathematician"

     Here is a selection from "The Mathematician," a long poem -- found in its entirety in The Rumpus -- by Oregon poet Carl Adamshick and recommended to me by poet R Joyce Heon  --  for a sample of her ekphrastic poems, follow this link and go to pages 37-42.  And this link leads to more poems (in this blog) starring mathematicians --- and a few of them are women!!

from   The Mathematician     by Carl Adamshick

What I do is calculate.
I’ve always seen the world as numbers,
buildings and trees factors,
math as a language better suited for explaining
how things work
than the formula of grammar.

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). 

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.

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 

Monsieur Probabilty

In recent months, I have encountered a variety of poems about mathematicians (Links to several of these are provided at the end of this post.) and one of the sources is Scottish poet Brian McCabe's  collection Zero (Polygon, 2009).    It is said that life imitates art -- and this is vividly demonstrated by the art of mathematics as lived by Abraham de Moivre (1667-1754).  Here is McCabe's poem. 

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. 

This plane of earthly love

Poet Joan Mazza celebrates qualities mathematical: 

   To a Mathematician Lover     by Joan Mazza

   As we embark on this plane
   of earthly love, I should explain,
   my experiences with men
   have doubled my troubles
   and halved my pleasures,
   divided my time into fractions

Fear of math

California poet Carol Dorf is a high school math teacher (and has taught in a science museum) -- and images from math and science permeate her work.  An article on math anxiety (and its connections to the brain) in today's Washington Post brought to my mind this poem of hers: 

Poems starring mathematicians - 8

Even though Johnny Depp played a mathematician in his recent film, The Tourist, we don't learn much about what mathematicians think or do from that story. Poetry offers more insight. Mathematician and writer Sherman Stein gives us this portrayal:

From 2010 -- titles and dates of posts

List of postings  March 23 - December 31, 2010
A scroll 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 31  The year ends -- and we go on . . .
    Dec 30  Mathematicians are NOT entitled to arrogance
    Dec 28  Teaching Numbers
    Dec 26  Where are the Women?
    Dec 21  A Square for the Season
    Dec 20  "M" is for Mathematics and . . .  

Poems starring mathematicians -- 7

Activist mathematician Chandler Davis -- an editor of The Mathematical Intelligencer, career mathematician at the University of Toronto, and author of It Walks in Beauty (Aqueduct Press, 2010) -- has written of his friendship with Norberto Salinas (1940-2005), a mathematician originally from Argentina who was a long-time faculty member at the University of Kansas: 

Poems starring mathematicians - 6 (Mandelbrot)

More familiar than the name Benoit Mandelbrot are images, like the one to the left, of the fractal that bears his name.  Born in Poland (1924) and educated in France, Mandelbrot moved to the US in 1958 to join the research staff at IBM. A fractal is a rough or fragmented geometric shape that can be split into parts, each of which is a reduced-size copy of the whole, a property called self-similarity. 

Poems starring mathematicians - 5

In my own library this next poem is found (untitled) in Collected Sonnets by Edna St Vincent Millay (1892-1950),  but it also is found online at various sites. The first line of the sonnet, which announces Euclid as its subject, is well-known to most mathematicians; enjoy here all fourteeen lines.

Poems starring mathematicians - 4

Each of today's poems is in the voice of a student who looks back.  First, from Carol Dorf, a poem to the author of a book--written as a fan-letter, "Dear Ivar."   And then, for his hero (a special Grammar School teacher) by Czech poet and scientist Miroslav Holub (1923-98), "The Fraction Line."

       Dear Ivar,

       I read your book on the unexpected.

       Like most poets, I opposed mathematics

       when I was young, seeing it as the converse

       to feeling. The previous statement is false.

Poems starring mathematicians - 3

Today's poems illustrate the satirical humor and rhyme that frequently inhabit poems by mathematicians. (Previous postings of poems about mathematicians include March 23, April 14, and April 15.)

I Even Know of a Mathematician      by John L Drost

        “I even know of a mathematician who slept with his wife only
                   on prime-numbered days…” Graham said.
                            ―Paul Hoffman, The Man Who Loved Only Numbers