This is a good, well-written, informative book, but not the book its title claims it is. If you are looking for concepts of modern math, look elsewhere. It was first published in 1975, and frankly, most of the ground covered here wasn't exactly modern back then. It was just that a lot of concepts began seeping into the high-school classroom and were modern there, but not in mathematics proper. If you have no idea of math beyond the most basic, core high-school curriculum, this is a good book to buy. It will give you a well-written tour-de-force through quite a few fields of traditional math, with practically no prerequisites on the part of the reader. If, however, you want to know what is going on in the field of mathematics at the moment, you will be disappointed.