M—nica Blanco: Hermeneutics of
Differential Calculus in Eighteenth-Century
Northern Germany
This paper applies comparative textbook analysis to studying
the mathematical development of differential calculus in northern German states
during the eighteenth century. It begins with describing how the four textbooks analyzed presented the foundations
of calculus and continues with assessing the influence each of these foundational
approaches exerted on the resolution of problems,
such as the determination of tangents and extreme values, and even on the choice
of coordinates for both algebraic and transcendental curves.
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