Euler at 300: an appreciation

Abstract

Introduction Leonhard Euler, the decade 1750-1760 Rudiger Thiele Euler's fourteen problems C. Edward Sandifer The Euler archive: giving Euler to the world Dominic Klyve and Lee Stemkoski The Euler-Bernoulli proof of the fundamental theorem of algebra Christopher Baltus The quadrature of Lunes, from Hippocrates to Euler Stacy G. Langton What is a function? Rudiger Thiele Enter, stage center: the early drama of the hyperbolic functions Janet Heine Barnett Euler's solution of the Basel problem - the longer story C. Edward Sandifer Euler and elliptic integrals Lawrence D'Antonio Euler's observations on harmonic progressions Mark McKinzie Origins of a classic formalist argument: power series expansions of the logarithmic and exponential functions Mark McKinzie Taylor and Euler: linking the discrete and continuous Dick Jardine Dances between continuous and discrete: Euler's summation formula David J. Pengelley Some combinatorics in Jacob Bernoulli's Ars Conjectandi Stacy G. Langton The Genoese lottery and the partition function Robert E. Bradley Parallels in the work of Leonhard Euler and Thomas Clausen Carolyn Lathrop and Lee Stemkoski Three bodies? Why not four? The motion of the Lunar Apsides Robert E. Bradley 'The fabric of the universe is most perfect': Euler's research on elastic curves Lawrence D'Antonio The Euler advection equation Roger Godard Euler rows the boa C. Edward Sandifer Lambert, Euler, and Lagrange as map makers George W. Heine, III Index.