This page contains books that you might use to help you with your core studies on a Mathematics degree, and sometimes for other subjects too. Keen A-level students could probably also pick up one of these for some extra maths or preparation, or if you want to see some of what you’re studying done in a more rigorous way than at A-level.
Many of these books are also great as Audiobooks – get a free trial of Audible here:
General ‘Applied’ Maths
These books cover a very wide range of topics and will also overlap with and feel more in the style of A-level maths than most of what you’ll use in a maths degree. These books are often core for physics, engineering etc, but most maths students will use something like this as a frequent reference in a wide range of settings.
Perhaps the biggest ‘surprise’ of a maths degree is how different ‘pure’ mathematics is. Most ‘core’ maths at A-level is considered applied at university. Limits limits everywhere is a great bridge to this new material, and Bartle and Sherbert, whilst expensive these days is exceptional.
These books take the theories of vectors and matrices you met at A-level to a new level.
Introductory Probability and Statistics
Strizaker’s Probability and Random Variables is a great transition from A-level to more rigorous advanced probability. Williams’ Weighing the Odds does a great job of unifying the central ideas of probability and statistics whilst being very entertaining and informative.
Probability – Grimmett and Stirzaker
These books are considered an ultimate reference in probability, and the second book gives solutions to all the problems in the first. A great reference, and can be used as an introduction, but they are tough so you might want to consider one of the books above first.