Archive for the ‘Change and Motion’ Category

When viewed at the appropriate level of abstraction, many seemingly different questions are equivalent

February 18, 2008

Many questions in many subjects are equivalent when viewed at the appropriate level of abstraction.

For example, the mathematical structures that one creates to study and model motion are identical, mathematically, to the structures that model aspects of economics, population growth, traffic flow, fluid flow, electricity, baseball, planetary motion, and countless other topics.

By looking at the mathematics itself, we strip away the extraneous  features of the questions and focus on the underlying relationships and structures that govern and describe our world.

Change and Motion: Calculus Made Clear by Professor Michael Starbird