Calculus is the *“Mathematics of Change”*. Originally calculus was about change that occurred in tiny incremental steps, but 200 years ago, mathematics became obsessed with the concept of *“infinity”* and calculus became about change that occurred in incremental steps that are so infinitely small they effectively don’t exist.

And so by making the step-size of change so infinitesimally small, we can mathematically say that *“in the limit to infinity” *the size of each step effectively goes to zero; and thus coarse incremental change effectively becomes smooth continuous change.

In this section we will briefly look at the history of smooth compressible mathematical change…

**Here we examine**

- How
*“Linearization”*and*“Linear Dynamics”*have, to-date, been the cornerstone of all of mathematical science:*Linearization*

- How the mathematics defines smooth
*“Continuous Change”*using an infinitesimally small*“Unit of Change”*:*Calculus*

- How to define a mathematical
*“Step-Size of Growth and Decay”*using an infinitesimally small*“Unit of Linear Change”*:*What is “e” ?*

- How to define a mathematical
*“Step-Size of**Oscillation”*using an infinitesimally small*“Unit of Angular Change”*:*Euler’s Identity*