Article ID: CBB001251201

Leonhard Euler's Use and Understanding of Mathematical Transcendence (2012)

unapi

Leonhard Euler primarily applied the term transcendental to quantities which could be variable or determined. Analyzing Euler's use and understanding of mathematical transcendence as applied to operations, functions, progressions, and determined quantities as well as the eighteenth century practice of definition allows the author to evaluate claims that Euler provided the first modern definition of a transcendental number. The author argues that Euler's informal and pragmatic use of mathematical transcendence highlights the general nature of eighteenth century mathematics and proposes an alternate perspective on the issue at hand: transcendental numbers inherited their transcendental classification from functions.

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Authors & Contributors
Ferraro, Giovanni
Sznajder, Roman
Franz Lemmermeyer
Calinger, Ronald S.
Zhang, Sheng
Verdun, Andreas
Concepts
Mathematics
Number theory; number concept
Philosophy of mathematics
Calculus
Biographies
Complex numbers
Time Periods
18th century
19th century
17th century
Enlightenment
Places
Russia
Switzerland
Poland
Europe
Institutions
St. Petersburg Academy of Sciences
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