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The Early Mathematics of Leonhard Euler (Paperback)
Loot Price: R979
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The Early Mathematics of Leonhard Euler (Paperback)
Series: Spectrum
Expected to ship within 12 - 17 working days
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The Early Mathematics of Leonhard Euler gives an article-by-article
description of Leonhard Euler's early mathematical works; the 50 or
so mathematical articles he wrote before he left St. Petersburg in
1741 to join the Academy of Frederick the Great in Berlin. These
early pieces contain some of Euler's greatest work, the Konigsberg
bridge problem, his solution to the Basel problem, and his first
proof of the Euler-Fermat theorem. It also presents important
results that we seldom realize are due to Euler; that mixed partial
derivatives are (usually) equal, our $f(x)$ notation, and the
integrating factor in differential equations. The books shows how
contributions in diverse fields are related, how number theory
relates to series, which, in turn, relate to elliptic integrals and
then to differential equations. There are dozens of such strands in
this beautiful web of mathematics. At the same time, we see Euler
grow in power and sophistication, from a young student when at 18
he published his first work on differential equations (a paper with
a serious flaw) to the most celebrated mathematician and scientist
of his time. It is a portrait of the world's most exciting
mathematics between 1725 and 1741, rich in technical detail, woven
with connections within Euler's work and with the work of other
mathematicians in other times and places, laced with historical
context.
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