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Essay text:
He passed the remainder
of his life as a land proprietor, devoting his free time to mathematics, invention,
and theology. Napier died at Merchiston castle on April 14, 1617.
Beginning in about 1594, Napier worked for 20 years in developing
ideas on logarithms and tables of logarithms. During this period he elaborated
his systems whereby products, quotients, and roots could quickly be determined
from his tables, which showed powers of 10 with a fixed number used as a base.
Napier's system relied on the fact that all numbers can be expressed
in exponential form. For instance, in a base 2 system, 4 can be written as 2
and 8 can be written as 2 , while 5, 6, and 7 can be written using some
fractional exponent between 2 and 3...
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