Topology is an important topic to understand for non-mathematicians as well as mathematicians. For example.
Pythonistas needing to program mathematics employing topological concepts can benefit enormously from understanding topology. This might become increasingly important with applications of topology to physics and biological sciences.
It deals with properties of space unimpacted by continuous deformations e.g. stretching and bending.
Gottfried Leibniz was already thinking along the lines of a topological science as early as the 17th century with his "geometria situs" (Latin for geometry of place).
Today, there are many subfields of topology, including one intriguingly named differential topology, which deals with differential functions on differentiable manifolds.
Knot theory is another interesting aspect of topology is used to study the effect of certain enzymes on DNA.
A knot is an embedding of a circle in three dimensional Euclidean space. Note that the word "embedding" (also known as an "imbedding") has a very specific, technical meaning in mathematics.
Pythonistas needing to program mathematics employing topological concepts can benefit enormously from understanding topology. This might become increasingly important with applications of topology to physics and biological sciences.
It deals with properties of space unimpacted by continuous deformations e.g. stretching and bending.
Gottfried Leibniz was already thinking along the lines of a topological science as early as the 17th century with his "geometria situs" (Latin for geometry of place).
Today, there are many subfields of topology, including one intriguingly named differential topology, which deals with differential functions on differentiable manifolds.
Knot theory is another interesting aspect of topology is used to study the effect of certain enzymes on DNA.
A knot is an embedding of a circle in three dimensional Euclidean space. Note that the word "embedding" (also known as an "imbedding") has a very specific, technical meaning in mathematics.
