The use of morphing helps individuals identify the exact point of transition between numbers, as opposed to using static images alone. However, there is more to identifying these transitions than just the image itself.
The insight in modern geometry that it is possible to study complex problems by simplifying them into smaller ones is discussed. The significance of this insight is illustrated using Poincare's solution to the three body problem.
The history of mathematics is interconnected with human history. From France's attempt to become more like Germany after the Franco-Prussian War to the Soviet Union's emphasis on science and math after World War II, significant events in history have shaped the way humans view mathematics.