Bill Meeks' "Fundamental Concepts of Math" course, also at UMass, was what got me excited about math as an undergrad. I'd suggest reading his book if anyone is

Bill Meeks' "Fundamental Concepts of Math" course, also at UMass, was what got me excited about math as an undergrad. I'd suggest reading his book if anyone is looking for a good introduction to topics such as set theory, logic, group theory, topology and metric spaces, etc: http://www.math.umass.edu/~bill/m300/nm300.pdf http://www.math.umass.edu/~bill/m300/nm300.pdf