# University maths textbooks

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.

## Real Analysis

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.

## Complex Analysis

Priestley’s book is an excellent introduction to this tough subject. Needham’s Visual Complex Analysis is a little nonstandard but has lots of nice pictures for those searching for intuition.

## Linear Algebra

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.

## Putnam and Beyond

The Putnam competition is like a super hard mathematics challenge competition for undergraduate students. So if you want something that takes you beyond and around the courses you’re studying this could be a great book for you!