Table of 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 boa C. Edward Sandifer; Lambert, Euler, and Lagrange as map makers George W. Heine, III; Index.

Promotional Information

A collection of the most memorable recent contributions honouring the foremost eighteenth-century mathematician, Leonhard Euler.

About the Author

Robert E. Bradley is Professor in the Department of Mathematics and Computer Science at Adelphi University in New York. He is President of the Euler Society. Lawrence A. D'Antonio is Associate Professor of Mathematics at Ramapo College of New Jersey, Mahwah. C. Edward Sandifer is Professor of Mathematics at Western Connecticut State University.

Reviews

The writing is uniformly high level and should interest both historians of mathematics and indeed any mathematician with a fondness for Euler. Highly Recommended"" - Choice

""The essays are well-written and clearly presented; many of them are accessible to a motivated reader while others are set at a more advanced level....These essays provide evidence that one can combine an avid interest in technical science with a substantial interest in history."" - Charles Fraser, Isis