| 171795 |
url |
holdingsInfo?bibId=171795 |
| 171795 |
P1007 |
produced by Jack Koumi; contributors Norman Gowar, John Mason. |
| 171795 |
isAbout |
animations |
| 171795 |
isAbout |
computers |
| 171795 |
isAbout |
algebra |
| 171795 |
isAbout |
equations |
| 171795 |
isAbout |
golden section |
| 171795 |
isAbout |
iteration |
| 171795 |
isAbout |
paper-folding |
| 171795 |
Contributor |
f10be97f9070b3ce180b69e5cfaca8e8 |
| 171795 |
Contributor |
3898fb2c07b8f9ded5a35d890c47cd62 |
| 171795 |
Contributor |
8b4c59dea12f5bc614b56dc763e24017 |
| 171795 |
Table Of Contents |
Norman Gowar introduces the programme and describes the qualities of standard paper
sizes which allow them to retain their same shape when cut in half. He sets the problem
of finding what particular of length to width gives this result. A diagram of the
paper sizes is used, with abstract symbols, X and y, to show how a formula representing
this ratio can be obtained. John Mason manipulates these symbols to obtain the formula.
He goes back to the original problem to check that his result makes sense. Norman
Gowar sets a further problem. What ratio of length to width will allow a square to
be cut from a piece of paper so that the remaining piece will remain as a rectangle
with a similar ratio to the original. Again the problem is pictured in a diagram and
abstract symbols assigned to the paper sizes giving a formula. John Mason manipulates
this equation which gives a quadratic equation and this resolves as 1.618 The so called
"Golden Section'. Norman Gowar next discusses the technique of iteration. John Mason
rearranges the formula. Norman Gowar works through the equation using the iteration
process. The equation is then solved by a computer, programmed for the iteration process.
John Mason explains with a flow chart how the process is written as a formula and
worked through the computer. Norman Gowar demonstrates how to call up a programme
on the computer terminal. As an experiment he feeds in the value of -1 as a solution
to the formula. Credits. |
| 171795 |
locator |
holdingsInfo?bibId=171795 |
| 171795 |
type |
Collection |
| 171795 |
label |
Symbols, equations, and the computer |
| 171795 |
Description |
In this programme two concrete problems are represented in mathematical terms and
the resulting equations solved to provide a solution to the problems. The iterative
technique is used to solve one of the problems. This is done first with a calculator
and then with a computer. |
| 171795 |
Publisher |
07f21de77e80d6bd38c3be6db6cb323d |
| 171795 |
Title |
Symbols, equations, and the computer |
| m101 |
has-courseware |
171795 |