Tuesday, January 20
First Class!
 Discussion of course details:

What is Visual Mathematics?

Mathematics that studies topics related to visual experience. [Geometry, Topology]

Visualization of mathematics that is not inherently visual.

Example: Numbers...
 numeral: a symbol for representing a number
 Number: a form of universal language to describe
anything/ physical things/ concepts related to measurement
 such as V, 5, five, cinq, chamesh, cinco

Frege distinguished numerals from numbers in the late 19th century.

We can compare numbers... for instance we say" 3 is less than 5"

Is 3 smaller than 5?

Numerals are symbols (visual or linguistic) that we use to represent
numbers.

We use numbers to measure (lengths) and put things in order (which was
first).

Another common visual representaion of numbers uses the
number
line.

___.___.___.___.___.___.___.______

1
2 3
4
5 6 7
Here there numerals are connected to points, so the points are
considered
to visualize the corresponding numbers.
 We visualize equations that give relations between
numbers with graphs
in the coordinate plane.
3x + 2y = 6 is visualized by the graph of a line ...