| Contents |
Introduction -- Leonhard Euler, the decade 1750-1760 / Rüdiger 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? / Rüdiger 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 boat / C. Edward Sandifer -- Lambert, Euler, and Lagrange as map makers / George W. Heine, III -- Index. |
