Recommended books to purchase after a two-year break

Question

I am going to begin my master's degree after a two-year break since my bachelor's degree and I am a little bit scared that I forgot a lot of things.

Since I would rather purchase books than look back at my previous material, which books do you recommend me to buy in order to have most of the topics covered ? (analysis, algebra, probability,...) ?

I am looking for books that cover a lot of topics and that are good at explaining things.

Thanks in advance

Answer 1

You might be interested in reading All the Math You Missed: But Need to Know for Graduate School by Garrity.

Book description:

Few beginning graduate students in mathematics and other quantitative subjects possess the daunting breadth of mathematical knowledge expected of them when they begin their studies. This book will offer students a broad outline of essential mathematics and will help to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential and analytical geometry, real analysis, point-set topology, probability, complex analysis, set theory, algorithms, and more. An annotated bibliography offers a guide to further reading and to more rigorous foundations.

(I'm reading his new book Electricity and Magnetism for Mathematicians: A Guided Path from Maxwell's Equations to Yang-Mills , and I think he's a great author. Very clear informal style.)