Chapter: Taylor and Euler: linking the discrete and continuous

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Home > Euler at 300: an appreciation > Taylor and Euler: linking the discrete and continuous

Euler at 300: an appreciation |

Robert E. Bradley

Mathematical Association of America

Taylor and Euler: linking the discrete and continuous

Chapter Info

Authors

Dick Jardine

ARI Id

1668749575106_22184527

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Chapters/Headings	Author(s)	Pages	Info
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; 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; 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
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