### 2.2 Physics and Calculus

InfinityThe State of nature at a given point in time could be fixed via a photographic
snapshot and described with words. In a mathematical and physical picture this
would correspond to a description of nature via formulas in which the time does not
appear. Thus already many states, for example equilibria, can be described via simple
mathematical equations.

In addition Physics examines and describes changes in nature,
and
a rule these changes happen as function of time. This provides its theories the ability
to understand the development of a current state from its conditions at an earlier
point in time. More important is the ability to predict a future state from the
knowledge of the current state; this ability empowers the techniques based on it to
achieve a desired,future effect.

For the deeper understanding and practical application of physics the knowledge
of differential calculus is necessary, since the changes (derivatives) and the sum of
their effects (integrals) have to be considered. Without this understanding
physics becomes a collection of more or less disconnected formulas, which
are only applicable to very limited cases. Thus the calculation of results
becomes a nuisance for the students at schools, which blocks their insight into
the simplicity and beauty of the relationships of mathematics, physics and
technology.

But the mathematical operations and methods that are needed for the
basic understanding of the subject are not really difficult. Using suitable
visualizations the notions used can be easily grasped. Using the computer for the
calculation and for creating the visualization media (diagrams, animations,
simulations) it becomes easy to to put this into practice. End of chapter
2.