First Class!

Unfortunately, I was not successful in transfering the notes I made during class. Hopefully I will do better in the future.

Here is my best recollection of most of what I had composed for notes.

- What is Visual Mathematics?
- Mathematics that studies topics related to visual experience.
- Visualization of mathematics that is not inherently visual.
- Example: Numbers... 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
- We visualize equations that give relations between numbers with graphs in the coordinate plane.
- My Name: Martin Flashman
- How to start a letter to me:
- How many different openings are possible? We can visualize this problem with a "tree"
- This visualization allows us to count the possibilities easily...
- This is an example of a visualization used to understand and solve a problem that initially is not connected to anything visual .

Here there numerals are connected to points, so the points are considered to visualize the corresponding numbers.

3x + 2y = 6 is visualized by the graph of a line ...

Professor | Martin | |

Doctor | Marty | Flashman |

Mister | Flash | omit |

Omit | Omit |

seeing there are 8 possibilities for each of 4 title branches

so that the total is 8*4 = 32 possibilities.