"You should really already have a copy of this, but I include it anyway because it is an incredible book. Has some use for the Numbers and sets first year course."

"Transition book from pre-university mathematics; covers half of first year group theory (Orbit stabilizer and isomorphism theorem), spherical/hyperbolic geometry, elementary results in quadratic forms"

"Easy guide to doing basic computations in vector calculus and intuitive proofs of the results. A book that is quickly outgrown, but still serves some purpose."

"After 45 years this is still the best first year analysis book on the market, with more stimulating problems that Rudin. Also written in a "transition to university maths" style."

"Superb book; you will likely cover the first half in a session at the end of the first year and then complete in the second. Make sure to pick up open mapping, maximum modulus and Rouche's theorem."

"The standard text for undergrad algebraic topology. The amount you will cover varies; the first course finishes at homology whilst previous courses had included de Rham cohomology and homotopy theory."

"Despite its size it only covers the first half of the course using slightly annoying conventions. Provides extensive experience with finite groups (up to order 1000 in fact!)"