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31	How Euler Did It by Ed Sandifer Gamma the function September 2007 Euler gave us two mathematical objects now known as “gamma.” One is a function and the other is a constant. The function, Γ ( x) , generalizes the se Add to Reading List Source URL: eulerarchive.maa.org Language: English - Date: 2013-11-04 12:20:24 Mathematical analysis Mathematics Analysis Meromorphic functions Mathematical constants Number theory Mathematical series Gamma function Transcendental number E Factorial Pi
32	How Euler Did It by Ed Sandifer Mixed Partial Derivatives May, 2004 One of the first things we learn in Calculus III, multivariable calculus, is that mixed partial derivatives are equal. That is, for most familiar functi Add to Reading List Source URL: eulerarchive.maa.org Language: English - Date: 2013-11-04 12:20:24 Mathematical analysis Mathematics Calculus Functions and mappings Partial differential equations Differential calculus Multivariable calculus Differential equation Derivative Differential geometry of surfaces Integral Differential geometry of curves
33	How Euler Did It by Ed Sandifer How Euler Discovered America October 2006 This month some people celebrate Columbus Day, the anniversary of that day in 1492 when the Italian navigator Christopher Columbus, sailing on beh Add to Reading List Source URL: eulerarchive.maa.org Language: English - Date: 2013-11-04 12:20:24 Mathematics Mathematical analysis Swiss people Euler E
34	How Euler Did It by Ed Sandifer Piecewise functions January 2007 This year, 2007, marks the 300th anniversary of Euler’s birth on April 15, 1707. We begin our celebration of Euler’s birthday by discussing one of Eule Add to Reading List Source URL: eulerarchive.maa.org Language: English - Date: 2013-11-04 12:20:24 Mathematical analysis Mathematics Curves EulerLagrange equation Differential equation Parabola E Differential geometry of curves Pi Gamma function Euler spiral
35	How Euler Did It by Ed Sandifer Euler as a Teacher – Part 2 February 2010 Let us start with the Great Quotation, dubiously attributed to Laplace by Guglielmo Libri1 about 1846 Add to Reading List Source URL: eulerarchive.maa.org Language: English - Date: 2013-11-04 12:20:24 Mathematics Mathematical analysis Academia Number theorists Anders Johan Lexell Transit of Venus Leonhard Euler Nicolas Fuss Swiss 1.2-metre Leonhard Euler Telescope Pi Euler
36	How Euler Did It by Ed Sandifer Theorema Arithmeticum March, 2005 Euler’s 1748 textbook, the Introductio in analysin infinitorum, was one of the most influential mathematics books of all time. John Blanton’s excellen Add to Reading List Source URL: eulerarchive.maa.org Language: English - Date: 2013-11-04 12:20:24 Mathematical analysis Mathematics Continued fractions Inverse trigonometric functions Ratios Trigonometry Leonhard Euler Contributions of Leonhard Euler to mathematics Fundamental theorem of algebra
37	How Euler Did It by Ed Sandifer Sums of powers June 2009 Many people have been interested in summing powers of integers. Most readers of this column know, for example, that Add to Reading List Source URL: eulerarchive.maa.org Language: English - Date: 2013-11-04 12:20:24 Mathematical analysis Mathematics Asymptotic analysis Summability methods Number theory Calculus Bernoulli number Topology EulerMaclaurin formula Series 1 2 + 3 4 + Divisor function
38	How Euler Did It by Ed Sandifer Gamma the constant October 2007 Sam Kutler, now retired from St. John’s College in Annapolis, once pointed out that there are three great constants in mathematics, π, e and γ, and that Add to Reading List Source URL: eulerarchive.maa.org Language: English - Date: 2013-11-04 12:20:24 Mathematical constants Meromorphic functions Summability methods EulerMascheroni constant Gamma function EulerMaclaurin formula E Factorial Contributions of Leonhard Euler to mathematics Reciprocal gamma function
39	How Euler Did It by Ed Sandifer Foundations of Calculus September 2006 As we begin a new academic year, many of us are introducing another generation of students to the magic of calculus. As always, those of us who teach Add to Reading List Source URL: eulerarchive.maa.org Language: English - Date: 2013-11-04 12:20:24 Infinity Calculus Non-standard analysis Mathematical analysis Differential calculus Infinitesimal Derivative Joseph-Louis Lagrange Differential Transcendental number Pi Gottfried Wilhelm Leibniz
40	How Euler Did It by Ed Sandifer Estimating π February 2009 On Friday, June 7, 1779, Leonhard Euler sent a paper [E705] to the regular twice-weekly meeting of the St. Petersburg Academy. Euler, blind and disillusioned wi Add to Reading List Source URL: eulerarchive.maa.org Language: English - Date: 2013-11-04 12:20:24 Dimensionless numbers Ratios Trigonometry Pi Complex analysis Inverse trigonometric functions Approximations of Trigonometric functions Taylor series Sine E Jurij Vega