A Mathematics Sampler presents mathematics as both science and art, focusing on the historical role of mathematics in our culture. It uses selected topics from modern mathematics "including computers, perfect numbers, and four-dimensional geometry "to exemplify the distinctive features of mathematics as an intellectual endeavor, a problem-solving tool, and a way of thinking about the rapidly changing world in which we live.
This was a very informative book, and I really enjoyed working through its examples. It provides a moderately gentle introduction to set and group theory, and helped me understand some of the mathematical underpinnings of probability and statistics, including the assumptions that must be made for statistical theory to hold.
I couldn't list all the topics covered, but it did a good job on each one of them.