I am currently studying A level Further Pure Mathematics, and I will be joining university next year. I want to brush up on precalculus (algebra, trigonometry, geometry) and calculus (differential, integral [single variable]), except that this time I need a more rigorous treatment of those topics. Most of what I covered in high school was very computational, with barely any focus on mathematical rigor. I am also looking for a good introduction to linear algebra textbook. What textbooks would you recommend?