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.. _differential_calculus:

.. index:: differential calculus

Differential Calculus
=====================

We now consider the formalization of notions from *analysis*,
starting with differentiation in this chapter
and turning integration and measure theory in the next.
In :numref:`elementary_differential_calculus`, we stick with the
setting of functions from the real numbers to the real numbers,
which is familiar from any introductory calculus class.
In :numref:`normed_spaces`, we then consider the notion of a derivative in
a much broader setting.

.. include:: C11_Differential_Calculus/S01_Elementary_Differential_Calculus.inc
.. include:: C11_Differential_Calculus/S02_Differential_Calculus_in_Normed_Spaces.inc