This paper surveys the history of the notion of function, back to its original identification with curves and (only) elementary functions. Making the definitions of the derivative and of limit rigorous leads to making calculus for functions of one and n variables rigorous as well, and to the subsequent extension to the functional calculus due to Vito Volterra.
Y for y = f(x)
GUERRAGGIO, ANGELO
2017-01-01
Abstract
This paper surveys the history of the notion of function, back to its original identification with curves and (only) elementary functions. Making the definitions of the derivative and of limit rigorous leads to making calculus for functions of one and n variables rigorous as well, and to the subsequent extension to the functional calculus due to Vito Volterra.
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