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The foundation of a new branch of mathematics: a fine, uncut copy |
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| "My subsequent
inquiries have produced several new methods of solving functional
equations containing only one variable quantity and much more
complicated, and have convinced me of the importance of the Calculus,
particularly as an instrument of discovery in the more difficult
branches of analysis. Nor is it only in the recesses of this abstract
science that its advantages will be felt... it may be applied to every
branch of natural philosophy, where the object is to discover by
calculation from the results of experiment the laws which regulate the
action of the ultimate particles of bodies..."
BABBAGE, Charles. An essay towards
the calculus of functions [Part I]. In Philosophical Transactions, Vol.
105, Part II, 1815. London: W. Bulmer & Co., 1815, pp.389-423. WITH: An
essay towards the calculus of functions, Part II, pp. 179-256. In
Philosophical Transactions, Vol. 106, Part II, 1816. London: W. Bulmer &
Co., 1816. Two complete journal issues. Quarto, modern blue wrappers,
uncut and largely unopened. $3000. Babbage began work on the calculus of functions as early as 1809 and continued during his studies at Cambridge. In 1815, at just 23 years of age, Babbage published the results of his work in two long papers in the Philosophical Transactions. "Babbage believed that his new scheme would serve as a generalized calculus to include all problems capable of analytical formulation, and it is possible to see here a hint of the inspiration for his concept of the Analytical Engine. While the work on the engines and his other scientific, social and political activities caused him virtually to abandon mathematical research at the age of thirty, the calculus of functions was the area he often yearned to continue. In fact the calculus of functions was not taken up by other workers, and it is the aspect of Babbage's mathematical work that modern mathematicians find the most fascinating" (Dubbey, The Mathematical Work of Charles Babbage). Many years later, in his Passages from the Life of a Philosopher, Babbage referred to the calculus of functions as his "earliest step" and "one to which I would willingly recur if other demands on my time permitted." Text extremely clean. Fine copies of both parts. Rare. additional image, please click to enlarge:
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