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21	How Euler Did It by Ed Sandifer Euler and the Pirates April 2009 We sometimes celebrate the first of April with a column on the lighter side of Euler scholarship. We continue that occasional tradition with some stories i Add to Reading List Source URL: eulerarchive.maa.org Language: English - Date: 2013-11-04 12:20:24 Number theorists Academia Mathematics Swiss people Calculus of variations Leonhard Euler Number theory Principle of least action Euler Society Euler Powder of sympathy Pierre de Fermat
22	How Euler Did It by Ed Sandifer A memorable example of false induction August 2005 Euler wrote about 800 books and papers. An exact number is hard to define. The “official” number of entries in Eneström’s index is Add to Reading List Source URL: eulerarchive.maa.org Language: English - Date: 2013-11-04 12:20:24 Mathematics Discrete mathematics Integer sequences Number theory Bernoulli number Topology Binomial coefficient Generating function Trinomial triangle Euler characteristic
23	How Euler Did It by Ed Sandifer PDEs of fluids September 2008 For his whole life Euler was interested in fluids and fluid mechanics, especially their applications to shipbuilding and navigation. He first wrote on fluid m Add to Reading List Source URL: eulerarchive.maa.org Language: English - Date: 2013-11-04 12:20:24 Physics Calculus Aerodynamics Mathematical analysis Fluid mechanics Differential equations Partial differential equations Euler equations Incompressible flow NavierStokes equations Fluid dynamics Rigid body dynamics
24	How Euler Did It by Ed Sandifer A false logarithm series DecemberSolving a good research question should open more doors than it closes. One of Euler’s lesser Add to Reading List Source URL: eulerarchive.maa.org Language: English - Date: 2013-11-04 12:20:24 Mathematical analysis Mathematics Inverse trigonometric functions Ratios Trigonometry Mathematical series Asymptotic analysis Contributions of Leonhard Euler to mathematics EulerMaclaurin formula
25	How Euler Did It by Ed Sandifer Rational trigonometry March 2008 Triangles are one of the most basic objects in mathematics. We have been studying them for thousands of years, and the study of triangles, Trigonometry, is Add to Reading List Source URL: eulerarchive.maa.org Language: English - Date: 2013-11-04 12:20:24 Mathematics Geometry Triangle geometry Trigonometry Triangles Diophantine equations Angle Pythagorean triple Integer triangle Triangle Pythagorean theorem Number theory
26	How Euler Did It by Ed Sandifer A Mystery about the Law of Cosines December, 2004 The Law of Cosines has been in newspapers and magazines lately. Perhaps you have seen an advertisement that reads “Margaret needs to kno Add to Reading List Source URL: eulerarchive.maa.org Language: English - Date: 2013-11-04 12:20:24 Algebra Mathematics Abstract algebra Polynomials Elementary algebra Algebraic number theory Trigonometry Quadratic forms Trigonometric functions Complex number Discriminant Completing the square
27	How Euler Did It by Ed Sandifer Saws and modeling November 2008 Euler seemed to be interested in everything, and when he was interested in something, he sought to understand it with mathematics. Somehow, he got intereste Add to Reading List Source URL: eulerarchive.maa.org Language: English - Date: 2013-11-04 12:20:24
28	How Euler Did It by Ed Sandifer Estimating the Basel Problem December, 2003 In the lives of famous people, we can often identify the first thing they did that made them famous. For Thomas Edison, it was probably his inve Add to Reading List Source URL: eulerarchive.maa.org Language: English - Date: 2013-11-04 12:20:24 Mathematical analysis Mathematics Number theory Meromorphic functions Calculus Basel problem Gamma function Integral Series Summability methods EulerMaclaurin formula 1 2 + 3 4 +
29	How Euler Did It by Ed Sandifer Multi-zeta functions January 2008 Two of Euler’s best known and most influential discoveries involve what we now call the Riemann zeta function. The first of these discoveries made him f Add to Reading List Source URL: eulerarchive.maa.org Language: English - Date: 2013-11-04 12:20:24 Mathematics Mathematical analysis Number theory Analytic number theory Bernhard Riemann Integer sequences Riemann zeta function Riemann hypothesis Multiple zeta function Zeta Infinite product Prime number
30	How Euler Did It by Ed Sandifer Orthogonal matrices August 2006 Jeff Miller’s excellent site [M] “Earliest Known Uses of Some of the Words of Mathematics” reports: Add to Reading List Source URL: eulerarchive.maa.org Language: English - Date: 2013-11-04 12:20:24 Mathematics Mathematical analysis Geometry Matrices Trigonometry Orthogonal matrix Trigonometric functions Leonhard Euler Matrix Sine Rotation formalisms in three dimensions Partial differential equation

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