I am looking for fun, interesting mathematics textbooks which would make good studious holiday gifts for advanced mathematics undergraduates or beginning graduate students. They should be serious but also readable. In particular, I am looking for readable books on more obscure topics not covered in ...Read more

I am looking for fun, interesting mathematics textbooks which would make good studious holiday gifts for advanced mathematics undergraduates or beginning graduate students. They should be *serious* but also *readable*.

**In particular,** I am looking for readable books on more obscure topics not covered in a standard undergraduate curriculum which students may not have previously heard of or thought to study.

Some examples of suggestions I’ve liked so far:

*On Numbers and Games*, by John Conway.*Groups, Graphs and Trees: An Introduction to the Geometry of Infinite Groups*, by John Meier.*Ramsey Theory on the Integers*, by Bruce Landman.

**I am not** looking for pop math books, Gödel, Escher, Bach, or anything of that nature.

I am also not looking for books on ‘core’ subjects unless the content is restricted to a subdiscipline which is not commonly studied by undergrads (e.g., *Finite Group Theory* by Isaacs would be good, but *Abstract Algebra* by Dummit and Foote would not).