Difference engines are strictly calculators. They crunch numbers the only way
they know how - by repeated addition according to the method of finite
differences. They cannot be used for general arithmetical calculation. The
Analytical Engine is much more than a calculator and marks the progression from
the mechanized arithmetic of calculation to fully-fledged general-purpose
computation.
Physical Legacy
Aside from a few partially complete mechanical assemblies and test models of
small working sections, none of Babbage's designs was physically realized in its
entirety in his lifetime. The major assembly he did complete was one-seventh of
Difference Engine No. 1, a demonstration piece consisting of about 2,000 parts
assembled in 1832. This works impeccably to this day and is the first successful
automatic calculating device to embody mathematical rule in mechanism. A small
experimental piece of the Analytical Engine was under construction at the time
of Babbage's death in 1871. Many of the small experimental assemblies survived,
as does a comprehensive archive of his drawings and notebooks.
The designs for Babbage's vast mechanical computing engines rank as one of
the startling intellectual achievements of the 19th century. It is
only in recent decades that his work has been studied in detail and that the
extent of what he accomplished becomes increasingly evident.
interesting...it talks about Babbage, but it also talks about Ada Lovelace and shows how women were involved in the mathematics and pre-computer world of their time.
Babbage embarked on an ambitious venture to design and build mechanical
calculating engines to eliminate the risk of human error in the production of
printed tables. The 'unerring certainty of machinery' would solve the problem of
human fallibility. His work on the engines led him from mechanized arithmetic to
the entirely new realm of automatic computation. Tabular errors provided a
practical stimulus. But this was not his only motive. He also saw his engines as
a new technology of mathematics.
It was not only the grindingly tedious labor of verifying a sea of figures
that exasperated Babbage, but their daunting unreliability. Engineering,
astronomy, construction, finance, banking and insurance depended on printed
tables for calculation. Ships navigating by the stars relied on printed tables
to find their position at sea. The stakes were high. Capital and life were
thought to be at risk.