Preamble

Preamble

The goal of this course is to introduce you to a range of mathematical ideas that are fundamental to studying degree-level mathematics. The course does not cover anything in great depth and is not foundational in the sense that we start from a list of axioms; that will happen in other courses.  Rather, this course aims to provide a rapid introduction to various concepts, notation, and methods of logical reasoning, which you should find helpful as you begin studying mathematics at university.

These lecture notes are heavily based on material from previous notes authored by Richard Earl, Ian Hewitt, Alan Lauder, and Peter Neumann.

This version, a series of web pages, is supposed to be as close to the PDF lecture notes as possible, but in an accessible format (that may also be more suitable for mobile devices). It is possible that new and interesting errors, beyond those in the PDF, have been introduced by this translation process.

Please send corrections/queries to james.munro@maths.ox.ac.uk

James Munro, 2025