I have been looking at The Art of Mathematics: Coffee Time in Memphis and The Art of Mathematics - Take Two: Tea Time in Cambridge by Béla Bollobás, and am really enjoying these books. I like the style of the problems, the mix in difficulty and how many of the problems have an interesting story or further reading behind them. The 'tea time but also leads to advanced topics' nature of the problems and the focus on exercises is essential to me. I am looking for books that are similar, both in the style and difficulty of the problems?
Some other books I know of that are similar to what I am looking for and may help people to make suggestions are;
- The Cauchy-Schwarz Master Class An Introduction to the Art of Mathematical Inequalities by John Michael Steele.
- Putnam and Beyond by Răzvan Gelca & Titu Andreescu
- Problem-Solving Through Problems by Loren C. Larson
My background: I am an undergraduate from the UK, soon to start my second year.