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Articles 1 - 18 of 18
Full-Text Articles in Physical Sciences and Mathematics
Using The Taylor Center To Teach Odes, Alexander Gofen
Using The Taylor Center To Teach Odes, Alexander Gofen
CODEE Journal
This article introduces a powerful ODE solver called the Taylor Center for PCs (http://taylorcenter.org/Gofen/) as a tool for teaching and performing numeric experiments with ODEs. The Taylor Center is an All-in-One GUI-style application for integrating ODEs by applying the modern Taylor Method (Automatic Differentiation). The Taylor Center also offers dynamic graphics (including 3D stereo vision). After a brief review of the features of the Taylor Center, we consider instructive examples of ODEs in various applications and also several particular examples illustrating intricacies of numeric integration. The article therefore continues the thesis of Borrelli and Coleman (CODEE Journal, http://www.codee.org/ref/CJ09-0157) that awareness …
On The Occasion Of Your Graduation, Robert Dawson
On The Occasion Of Your Graduation, Robert Dawson
Journal of Humanistic Mathematics
A letter from an absent supervisor to a doctoral student about to graduate reveals a terrible secret.
Math Moment, Paige S. Orland
Math Moment, Paige S. Orland
Journal of Humanistic Mathematics
A short poem comparing Exponential and Logistic functions.
Confidence Interval, Ursula Whitcher
Confidence Interval, Ursula Whitcher
Journal of Humanistic Mathematics
A poem about estimating probabilities.
Joanne Growney's Poetry-With-Mathematics Blog -- An Appreciation, Gregory E. Coxson
Joanne Growney's Poetry-With-Mathematics Blog -- An Appreciation, Gregory E. Coxson
Journal of Humanistic Mathematics
Now is a good time to work on the boundaries of practice and theory, of art and science. We are seeing a rising tide of interest in these boundaries. Witness the growing Bridges movement, which has been exploring the connections between mathematics and the arts. Similarly, JoAnne Growney's blog, Intersections -- Poetry with Mathematics, explores the connections between mathematics and poetry. Through this review, I aim to give readers a taste of what can be found in Intersections as a way of encouraging others, be they mathematicians, poets, or neither, to visit the blog.
Mathematics And The Hunger Games, Michael A. Lewis
Mathematics And The Hunger Games, Michael A. Lewis
Journal of Humanistic Mathematics
The Hunger Games plot features a dystopian future in which twelve outer districts are oppressed by a centralized capital. The story focuses on the heroism of a sixteen-year-old girl named Katniss and how she tries to rise above the oppression that she experiences. It also features a special lottery and other twists that are sources of mathematical interest. This essay focuses on some of the mathematical issues raised by The Hunger Games in an effort to show that this story can be used to teach students (as well as other interested parties) some important concepts from mathematics.
A Definition Of Mathematical Beauty And Its History, Viktor Blåsjö
A Definition Of Mathematical Beauty And Its History, Viktor Blåsjö
Journal of Humanistic Mathematics
I define mathematical beauty as cognisability and trace the import of this notion through several episodes from the history of mathematics.
Report Supplement: Poetry Folder -- Selections From The Poetry Reading At Joint Mathematics Meetings 2012
Journal of Humanistic Mathematics
No abstract provided.
For The Love Of Poetry And Mathematics: January 6, 2012, Charlotte Henderson
For The Love Of Poetry And Mathematics: January 6, 2012, Charlotte Henderson
Journal of Humanistic Mathematics
Together we combine to become twice what 60 could ever be.
The same ghost looked into my eyes.
Also, the center of the circle is inside the circle.
There is no way to draw a line, other than a border line,
A language as precise as poetry to delineate universe and being,
Deceptive as one over n as n goes to infinity, summed.
The world is a complex system
not defined by any voice factored out of my voicelessness,
the hypotenuse of course is the man who came between us
doubting every figured guess,
so, inductively, all of God’s natural …
Raphael's School Of Athens: A Theorem In A Painting?, Robert Haas
Raphael's School Of Athens: A Theorem In A Painting?, Robert Haas
Journal of Humanistic Mathematics
Raphael's famous painting The School of Athens includes a geometer, presumably Euclid himself, demonstrating a construction to his fascinated students. But what theorem are they all studying? This article first introduces the painting, and describes Raphael's lifelong friendship with the eminent mathematician Paulus of Middelburg. It then presents several conjectured explanations, notably a theorem about a hexagram (Fichtner), or alternatively that the construction may be architecturally symbolic (Valtieri). The author finally offers his own "null hypothesis": that the scene does not show any actual mathematics, but simply the fascination, excitement, and joy of mathematicians at their work.
Beholden To The Bear: The Political Economy Of European Natural Gas Trade With Russia, Jessica Miltenberger
Beholden To The Bear: The Political Economy Of European Natural Gas Trade With Russia, Jessica Miltenberger
Claremont-UC Undergraduate Research Conference on the European Union
No abstract provided.
The European Union Emission Trading Scheme, Marco Piovan
The European Union Emission Trading Scheme, Marco Piovan
Claremont-UC Undergraduate Research Conference on the European Union
No abstract provided.
The Eu, Russia, And Energy Security, Jonathan Jones
The Eu, Russia, And Energy Security, Jonathan Jones
Claremont-UC Undergraduate Research Conference on the European Union
No abstract provided.
Prove It!, Kenny W. Moran
Prove It!, Kenny W. Moran
Journal of Humanistic Mathematics
A dialogue between a mathematics professor, Frank, and his daughter, Sarah, a mathematical savant with a powerful mathematical intuition. Sarah's intuition allows her to stumble into some famous theorems from number theory, but her lack of academic mathematical background makes it difficult for her to understand Frank's insistence on the value of proof and formality.
Empiricism: An Environment For Humanist Mathematics, Carl E. Behrens
Empiricism: An Environment For Humanist Mathematics, Carl E. Behrens
Journal of Humanistic Mathematics
Humanists have extended some links between mathematics and the physical world, but most mathematicians still believe they operate in an immaterial realm of the mind, with unquestionable logic and abstract thought. By rehabilitating the empiricism of John Stuart Mill and combining it with growing knowledge of the character of the human mind, we can escape from the indefinable Platonic universe of immaterial consciousness and abandon the futile quest for certainty that has plagued philosophy since the time of the Greeks.
Logarithmic Spirals And Projective Geometry In M.C. Escher's "Path Of Life Iii", Heidi Burgiel, Matthew Salomone
Logarithmic Spirals And Projective Geometry In M.C. Escher's "Path Of Life Iii", Heidi Burgiel, Matthew Salomone
Journal of Humanistic Mathematics
M.C. Escher's use of dilation symmetry in Path of Life III gives rise to a pattern of logarithmic spirals and an oddly ambiguous sense of depth.
Mathematical Creation, Mark Huber, Gizem Karaali
Mathematical Creation, Mark Huber, Gizem Karaali
Journal of Humanistic Mathematics
No abstract provided.