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French mathematician Augustin Louis Cauchy was born on August 21, 1789. Among others, he used the modern way to define the derivate as a limit of slopes of secants, see the attached rap song.
Derivative and partial derivative
First order ODE
Definite integral and mean value
Geometrical applications of definite integral
Local maxima and minima in two variables
Domain of functions (one variable)
Domain of functions (two variables)
Least squares method
Second order LDE
Fixed point iterations
How does the mechanical thing multiply? Detailed explanation how successive additions and carriage shifts are used in a calculator with automatic multiplication.
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