London School of Economics and Political Science (LSE)

Modules

Abstract mathematics [116]

Note: this unit cannot be taken with 95 Further mathematics for economists.

Prerequisites (if taken as part of a BSc degree):
05a Mathematics 1 and 05b Mathematics 2.

This unit is an introduction to mathematical reasoning. Students are introduced to the fundamental concepts and constructions of mathematics. They are taught how to formulate mathematical statements in precise terms, and how such statements can be proved or disproved.

The course unit is designed to enable students to:

• develop their ability to think in a critical manner

• formulate and develop mathematical arguments in a logical manner

• improve their skill in acquiring new understanding and expertise

• acquire an understanding of basic pure mathematics, and the role of logical argument in mathematics.

Topics covered are: Logic, integers, sets and functions, prime numbers, relations, real and complex numbers, greatest common divisor and modular arithmetic, infimum and supremum, sequences, limits of sequences, functions and limits of functions, continuity, groups.