Marcia Birken, Anne C. Coon's Discovering Patterns in Mathematics and Poetry PDF

By Marcia Birken, Anne C. Coon

ISBN-10: 1435633105

ISBN-13: 9781435633100

ISBN-10: 9042023708

ISBN-13: 9789042023703

You're invited to hitch a desirable trip of discovery, as Marcia Birken and Anne C. Coon discover the intersecting styles of arithmetic and poetry - bringing the 2 fields jointly in a brand new approach. atmosphere the tone with humor and illustrating each one bankruptcy with numerous examples, Birken and Coon start with styles we will be able to see, pay attention, and consider after which flow to extra complicated styles. quantity structures and nursery rhymes result in the Golden suggest and sestinas. easy styles of form introduce tessellations and urban poetry. Fractal geometry makes fractal poetry attainable. eventually, styles for the brain bring about questions: How do mathematicians and poets conceive of evidence, paradox, and infinity? What position does analogy play in mathematical discovery and poetic expression? The e-book could be of distinctive curiosity to readers who get pleasure from searching for connections throughout conventional disciplinary barriers. getting to know styles in arithmetic and Poetry positive factors centuries of artistic paintings through mathematicians, poets, and artists, together with Fibonacci, Albrecht D?rer, M. C. Escher, David Hilbert, Benoit Mandelbrot, William Shakespeare, Edna St. Vincent Millay, Langston Hughes, E.E. Cummings, and lots of modern experimental poets. unique illustrations contain electronic pictures, mathematical and poetic versions, and fractal imagery. Marcia Birken and Anne C. Coon have collaborated for over two decades, exploring the connections among arithmetic and literature of their learn, writing, and team-teaching. The co-authors of diverse scholarly articles and ebook chapters, they're school contributors at Rochester Institute of expertise, Rochester, manhattan. Birken is Professor Emeritus within the institution of Mathematical Sciences, university of technological know-how, and Coon is Sr. affiliate Dean and Professor of English within the collage of Liberal Arts.

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Extra resources for Discovering Patterns in Mathematics and Poetry (Internationale Forschungen Zur Allgemeinen Und Vergleichenden Literaturwissenschaft)

Example text

The Naturals Numbers are found along the boxed diagonals. 49 Powers of 11 1, 11, 121, 1331,14641, . . From row 0 to row 4, read across each row to find the nth power of 11 in the nth row. After row 4, interpret the digits in the given row to be placeholders of powers of 10. For instance in the 5th row: 1 = 5 10 10 5 1 1 10 5 = 100000 + 5 10 4 = 50000 + 10 10 3 = 10000 + 10 10 2 = 1000 + 5 101 = 50 + 1 10 0 = 1 = 161051 = 115 Combinations To find the number of ways to choose k objects from a total of n objects, find the kth entry in the nth row of the Triangle.

It dates from the Yuan Dynasty (1271-1368) and was found buried under the cornerstone of the home of Prince Anxi near Xi’an. Such relics were treated as sacred objects in ancient China and were buried to protect the home and exorcise evil spirits. 13b show both the original iron plate, on display in Shanghai Museum, as well as a modern translation of the numbers. 13b Once we start playing with these number patterns, it is tempting to get sidetracked. But let’s return to the main focus of this chapter — finding the basic patterns of math and poetry and seeing how they intersect.

Likewise, the two middle cells in the first column and fourth column add to this same sum. 12 gives a clearer view of this famous square. 13, was photographed by one of the authors during a recent visit to China. This iron plate is inscribed with the numbers 1 through 36, arranged so that each number appears only once, and every row, column, and the two diagonals sum to 111. It dates from the Yuan Dynasty (1271-1368) and was found buried under the cornerstone of the home of Prince Anxi near Xi’an.

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Discovering Patterns in Mathematics and Poetry (Internationale Forschungen Zur Allgemeinen Und Vergleichenden Literaturwissenschaft) by Marcia Birken, Anne C. Coon


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