Discovering Patterns in Mathematics and PoetryRodopi, 2008 - 213 páginas You are invited to join a fascinating journey of discovery, as Marcia Birken and Anne C. Coon explore the intersecting patterns of mathematics and poetry -- bringing the two fields together in a new way. Setting the tone with humor and illustrating each chapter with countless examples, Birken and Coon begin with patterns we can see, hear, and feel and then move to more complex patterns. Number systems and nursery rhymes lead to the Golden Mean and sestinas. Simple patterns of shape introduce tessellations and concrete poetry. Fractal geometry makes fractal poetry possible. Ultimately, patterns for the mind lead to questions: How do mathematicians and poets conceive of proof, paradox, and infinity? What role does analogy play in mathematical discovery and poetic expression? The book will be of special interest to readers who enjoy looking for connections across traditional disciplinary boundaries. Discovering Patterns in Mathematics and Poetry features centuries of creative work by mathematicians, poets, and artists, including Fibonacci, Albrecht Dürer, M. C. Escher, David Hilbert, Benoit Mandelbrot, William Shakespeare, Edna St. Vincent Millay, Langston Hughes, E.E. Cummings, and many contemporary experimental poets. Original illustrations include digital photographs, mathematical and poetic models, and fractal imagery. |
Dentro del libro
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Página 10
... terms, they must begin to focus on abstract reasoning and analogous methodologies. No longer is it sufficient to learn the material for a single course in isolation; instead, the material in calculus lays a foundation for studying ...
... terms, they must begin to focus on abstract reasoning and analogous methodologies. No longer is it sufficient to learn the material for a single course in isolation; instead, the material in calculus lays a foundation for studying ...
Página 21
... term sequence means an infinite list or string of numbers. For instance, the Natural Numbers and Whole Numbers are ... term a1 , the second term a2 , and so on. A general term of the sequence is referred to as the nth term, or an . Since ...
... term sequence means an infinite list or string of numbers. For instance, the Natural Numbers and Whole Numbers are ... term a1 , the second term a2 , and so on. A general term of the sequence is referred to as the nth term, or an . Since ...
Página 23
... term is 3222 or 32 ; and the third term is = = listed these first three numbers in simplified form as 32 , and 1, it would be 3, difficult to tell the pattern that is forming our sequence. The listing for individual terms in the ...
... term is 3222 or 32 ; and the third term is = = listed these first three numbers in simplified form as 32 , and 1, it would be 3, difficult to tell the pattern that is forming our sequence. The listing for individual terms in the ...
Página 31
... as it is here, we refer to it as meter. This is obviously an instance where a key term, meter, means something entirely different in poetry from what it means in mathematics. The meter of poetry is born of physical elements: breath, 31.
... as it is here, we refer to it as meter. This is obviously an instance where a key term, meter, means something entirely different in poetry from what it means in mathematics. The meter of poetry is born of physical elements: breath, 31.
Página 34
... terms used to describe different aspects of meter, but it's not necessary to know all of the terminology in order to understand, enjoy, or even write poetry. Nonetheless, the terminology is useful when one wants to be precise in ...
... terms used to describe different aspects of meter, but it's not necessary to know all of the terminology in order to understand, enjoy, or even write poetry. Nonetheless, the terminology is useful when one wants to be precise in ...
Contenido
9 | |
15 | |
Chapter 2 8211Counting Patterns Take Form | 45 |
Chapter 3 8211 Patterns of Shape | 87 |
Chapter 4 8211 Fractal Patterns | 131 |
Chapter 5 8211 Patterns for the Mind | 169 |
Chapter 6 8211 Conclusion | 193 |
Bibliography | 199 |
Index | 207 |
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Discovering Patterns in Mathematics and Poetry Marcia Birken,Anne C. Coon Vista previa limitada - 2008 |
Términos y frases comunes
answer appear arrangement beauty begin called century Chapter circle closely complex concepts continue count create curve described dimension discuss drawing English entire example familiar Fibonacci Numbers Figure final flowers fractal geometry Golden ideas illustrated images important infinite infinity instance integers iteration Julia Set known language length look Mandelbrot Set math mathematical mathematicians mean meter moves named Natural Natural Numbers object original pair paradox patterns plane poem poem’s poet poetic poetry positive produced proof qualities Ratio Real refer reflection repeated represented rhyme river rotation scale seen sequence sestina shape shown shows sides similar simple sonnet sound spirals square stanza statement structure syllables symmetry term thee theorem things thinking tion triangle verse visual writing written
Pasajes populares
Página 41 - Most quiet need, by sun and candle-light. I love thee freely, as men strive for Right; I love thee purely, as they turn from Praise. I love thee with the passion put to use In my old griefs, and with my childhood's faith. I love thee with a love I seemed to lose With my lost saints...
Página 163 - That time of year thou mayst in me behold When yellow leaves, or none, or few, do hang Upon those boughs which shake against the cold, Bare ruined choirs where late the sweet birds sang.
Página 64 - Year after year beheld the silent toil That spread his lustrous coil; Still, as the spiral grew, He left the past year's dwelling for the new, Stole with soft step its shining archway through, Built up its idle door, Stretched in his last-found home, and knew the old no more.
Página 183 - O Attic shape! Fair attitude! with brede Of marble men and maidens overwrought, With forest branches and the trodden weed; Thou, silent form, dost tease us out of thought As doth eternity: Cold Pastoral! When old age shall this generation waste, Thou shalt remain, in midst of other woe Than ours, a friend to man, to whom thou say'st, "Beauty is truth, truth beauty," — that is all Ye know on earth, and all ye need to know.
Página 99 - With Thee O let me rise As larks, harmoniously, And sing this day Thy victories : Then shall the fall further the flight in me.
Página 38 - The king sits in Dumferling toune, Drinking the blude-reid wine: "O whar will I get guid sailor To sail this schip of mine?" Up and spak an eldern knicht, Sat at the kings richt kne: "Sir Patrick Spence is the best sailor That sails upon the se.
Página 41 - How do I love thee? Let me count the ways. I love thee to the depth and breadth and height My soul can reach, when feeling out of sight For the ends of Being and ideal Grace.
Página 83 - THE HOUSE ON THE HILL They are all gone away, The House is shut and still, There is nothing more to say. Through broken walls and gray The winds blow bleak and shrill: They are all gone away. Nor is there one to-day To speak them good or ill: There is nothing more to say. Why is it then we stray Around that sunken sill?
Página 31 - One, two, Buckle my shoe; Three, four, Shut the door; Five, six, Pick up sticks; Seven, eight, Lay them straight; Nine, ten, A good fat hen; Eleven, twelve, Who will delve?