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Course units

Course unit - HISTORY OF MATHEMATICS

Code : HSTM20482
Credit rating: 10
Semester : 2

Links in this page :
Aims | Objectives | Assessment | Information * | Course unit content |
Course unit materials | Tutors | Timetable | Teaching methods | Keywords


Aims

The aims of the course are to examine the development of mathematics as part of wider culture, from Ancient Greece (and even earlier) to the twentieth century. The objectives of the course are that students should achieve a thorough understanding of how mathematics has always formed part of a wider culture, and a historical grasp of how the mathematics and culture have interacted.

Objectives (learning outcomes)

By the end of this Unit, a student taking the 10 credit version will be able:
to show an appreciation of various approaches and methods in the history of mathematics;
to demonstrate a knowledge of the main developments in the history of mathematics;
to have a critical appreciation of the place of mathematics in wider culture;
to take part in informed discussions on these topics and issues;
to reflect critically on the possibilities and limits mathematical thinking.

Assessment

10 credits - essay (50%); exam (50%)

This course is also available as a 20 credit version (HSTM20982)

Information *


This is a Level 2/3 course

Prerequisites: A level Mathematics

Course unit content

Lecture Content
Ancient Babylonian and Egyptian Mathematics
China/India
Islam
Renaissance Perspective, algebrae and methods
17th Century: Geometry, instruments, Galileo, Dee, calculus
Analysis and Algebra in the 18th and 19th centuries
Probability and statistics
Non-Euclidian Geometry
Crisis in Foundations
Mathematical Physics
Hardy v Hogben
Ethnomathematics

Course unit materials

Tutor(s)

Kennedy, Dr J

Timetable

lecture on Thursdays 10-11 and a seminar on the same day, 3-4pm,
TEACHING TAKING PLACE IN ALAN TURING G207

Please check for up-to-date details of this course.

Teaching methods

lecture on Thursdays 10-11 in Alan Turing Bldg, G108

and a seminar on the same day, 3-4pm, in Zochonis Theatre C
www.manchester.ac.uk/chstm

Preliminary reading

There is no single textbook for the course, but the following provide a useful introduction to some of the themes of the course.

John Fauvel and Jeremy Gray (eds), The History of Mathematics: a Reader, London: Macmillan, 1987.
Ivor Grattan-Guinness, The Fontana History of the Mathematical Sciences, London: Fontana, 1997.
Victor Katz, A History of Mathematics: an Introduction, New York: Addison Wesley, 1998

Keywords

history mathematics maths algebrae geometry
Galileo calculus physics

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