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difference engine
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difference engine

Mechanical calculating machine designed (and partly built in 1822) by the English mathematician Charles Babbage to produce reliable tables of life expectancy. A precursor of the analytical engine, it was to calculate mathematical functions by solving the differences between values given to variables within equations. Babbage designed the calculator so that once the initial values for the variables were set it would produce the next few thousand values without error.



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He starts with the basic principles of electromagnetic theory, then moves to analytical methods and orthogonal functions, Green's functions, computer integration and conformal mapping, Fourier transform methods, computational methods, method of finite differences, finite difference time domain analysis, and variational methods.
 
 
 
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