17th and JFK Blvd, Philadelphia, PA
Let us stroll through the history of calculus, review some of its modern techniques starting with the rigors of the limit, and roll up our sleeves to do some exercises. We will briefly explore the work of Augustin-Louis Cauchy (1789-1857), Karl Weierstrass (1815-1897), Georg Friedrich Bernhard Riemann (1826-1866), Vito Volterra (1860-1940), Georg Cantor (1845-1918), René Baire (1874-1932), and Henri Lebesgue (1875-1941). We will discover some of the ideas that helped make modern analysis an icon of sophisticated mathematically exact thinking.
"I think it [the calculus] defines more unequivocally than anything else the inception of modern mathematics, and the system of mathematical analysis, which is its logical development, still constitutes the greatest technical advance in exact thinking." — John von Neumann
Our exploration will discuss (with a focus on the second half: pages 10-19, sections 7-10, but we recommend reading the whole paper) the award-winning paper "Touring the Calculus Gallery" by William Dunham. We discussed the first half of the paper in a session on The Classical Wing on Saturday November 26th.
You can download a PDF of Dunham's paper at http://www.maa.org/sites/default/files/pdf/upload_library/22/Ford/dunham1.pdf
Please download and try to work out the 9 exercises I compiled to help guide your reading and our discussion at http://files.meetup.com/3948532/CalculusGallery.Dec2016.pdf. Fully answering these questions is probably too challenging, but the more aspects of each one that you understand before our discussion the easier it will be for you to learn the rest during the event. During our discussion, we will discuss your attempts to solve each of these 9 exercises.
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Refunds are not offered for this Meetup.