The mathematics in Archimedes' works is extremely sophisticated,
and they are well worth reading in detail for their
mathematical content even today.
Many, perhaps most, of the works
of Archimedes of which we have some mention
have been lost in time.
The sources of what we do have
are (1) Greek mss. passed down through late
medieval Europe, (2) the famous Palimpsest, (3) the isolated
Cattle Problem, that came to light only in the late 18th century.
Some of his extant works justify calling him
the first mathematical physicist. He might also
be labeled with some justice the first applied
mathematician.
Archimedes is also the subject of many anecdotes
with little evidence for their truth. We do not
have any solid evidence for the date of his birth.
We do not know whether he ever left Syracuse.
We do not really know (and ome of us doubt)
whether he shouted "Eureka!" over
an apparently trivial observation.
There are grounds for speculation about things like this,
but again the best evidence about Archimedes
internal evidence from the mathematical works.
The Eureka story, for example, gives only
an echo of his very interesting papers "On Floating bodies".
Summary: the English article is childish
and disorganized. The reference list is deceptive - most
of them are to sources that quote other sources that quote ...
in a nearly endless recursion, going back to Alexandrian gossips.
As with Eudoxus, it would be nice to have a good
discussion of the ancient sources, as well
as some idea of the mathematics.
The number of ancient sources is not that great,
and one could even imagine
directly quoting all of them.
The German article is just weak.
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