This blog is part of the History of Mathematics course at Saint Xavier University.
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Sunday, May 30, 2010
Math in Poetry: Pi
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poem by Wislawa Szymborska, Polish author and Nobel Prize Winner in Literature
Source: Wisława Szymborska, Monologue of a dog, 96 pp., Foreword by Billy Collins, New Poems translated from the Polish by Clare Cavanagh and Stanisław Barańczak, Harcourt,Inc.,New York, Toronto, London, 2005, ISBN 0-15-101220-2
Ancient Egyptians Mathematical Papyrus
One of the most famous artifacts that survived from the ancient Egypt is the Rhind Mathematical Papyrus dating to 1550 B.C. now in the collection of the British Museum.
It contains 84 different mathematical problems - such as how to distribute 100 loaves of bread among a workforce in different ratios. Such skills were constantly needed by scribes - the administrators of the Egyptian society. This papyrus was placed in its owner's tomb as a sign of his highly educated status.You can listen to the 15 minute podcast, see the interactive version of the object and read more details on the history and significance of this papyrus on the British Museum website titled, A History of the World in 100 Objects.
The Unintended Consequences of Math
Scientific discoveries often follow the law of unintended consequences when new applications, not predicted at the time of the discovery, often lead to drawbacks or even troubling uses decades or centuries later. In this excellent audio program from BBC Radio three academic experts chat about such unintended consequences of mathematical discoveries. Some of the examples are:
The cubic equations which led, after 400 years, to the development of alternating current - and the electric chair.
The centuries-old work on games of chance which eventually contributed to the birth of population statistics.
The discovery of non-Euclidean geometry, which crucially provided an 'off-the-shelf' solution which helped Albert Einstein forge his theory of relativity.
The 17th-century theorem which became the basis for credit card encryption
Solving the integrals equation
Here is a little refresher of your calculus knowledge ---a step-by-step presentation on how to solve the integrals equation using Pierre de Fermat method.
But this is only the first part of the presentation. Read the second article here.
At the end of the article the author Chris Sangwin from the University of Birmingham has a little test for you:
But this is only the first part of the presentation. Read the second article here.
At the end of the article the author Chris Sangwin from the University of Birmingham has a little test for you:
If this article has inspired you to do some calculus, here is a problem for you:
Measuring Effectiveness
In the article titled The Metric Mania, professor John Allen Paulos explains the difficulty and complexity of measuring the effectiveness of human actions and related public policies either in health care, higher education (students' learning) or economics. The linguistic ambiguity of terms used in measuring the quality or outcomes may lead to meaningless results. For example, he cites the statistical data of homeless people or battered women. How we define those categories will lead to different numbers. Then, how we measure these things will also affect the data.
The short piece introduces the concepts of mathematical statistics, aggregation, median, mean, Arrow's Theorem.
Assignment: Discuss this article providing other examples. Related fields: Actuarian statistics.
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Recommended book by John Allen Paulos, Once Upon a Number: The Hidden Mathematical Logic of Stories.
The short piece introduces the concepts of mathematical statistics, aggregation, median, mean, Arrow's Theorem.
Assignment: Discuss this article providing other examples. Related fields: Actuarian statistics.
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Recommended book by John Allen Paulos, Once Upon a Number: The Hidden Mathematical Logic of Stories.
Number 3 and CSI Crime Drama
Another interesting story on the meaning of number 3 in the popular TV show CSI.
Listen to profs. of mathematics from Stanford University telling us the story behind it.
Listen to profs. of mathematics from Stanford University telling us the story behind it.
Friday, May 21, 2010
Magical Number 7
Why has number 7 become a symbolic number in human history? Prof. Keith Devlin from Stanford University explains the mathematics behind it.
Wednesday, May 5, 2010
Finding Math in Poetry
Poems, or rhymes, have been used for a long time as mnemonics for important numbers such as π and e, or to assist with the memorization of techniques or formulas, such as, for example, the formula for finding the roots of a quadratic equation. Some of these rhyming mnemonics are of historical vintage.... [full article here]
Related article: Poetry Inspired by Mathematics
See also animated Pi, Amazing History of Pi, Infinite Secrets (Story of Pi), Is All About Math (Pi lecture)
Math in Nature
Voronoi Diagram in the salt desert Salinas Grandes, Jujuy, Argentina (Photo by Deanna Haunsperger)
Source: The Mathematical Association of America, 2010)
You can view more pictures of nature and read about their hidden mathematical patterns in this excellent article by Peter Markowich, Professor of Applied Mathematics at the University of Cambridge. Part of the interview with the author is available as mp3 podcast
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