Counting,
numbers and sets
BA/BSc Project
Professor Maurice Dodson
Topics
could include:
An account of the history of counting, the development of the natural
numbers and the idea of place value.
A comparison of a modern view of the integers with the historical evolution
of arithmetic.
The ideas of cardinal and ordinal numbers.
Irrational numbers in ancient Greece.
This project could be more historical than mathematical. In this case the
historical material will be taken from books or other secondary sources and
should be clearly referenced. You will be expected to add the mathematical
knowledge you have acquired to the history. In particular, you should show
an understanding and appreciation of the development of the number system
since the 19th century.
Sources:
J Barrow, Pi in the Sky, Penguin.
D H Fowler, The Mathematics of Plato's Academy.
