Foundations and Fundamental Concepts of Mathematics

In that vein I highly recommend Foundations and Fundamental Concepts of Mathematics by Howard Eves. I think it might be a little dated, but it gives an amazing overview of the most important developments in mathematics that were relevant at the time. It's less focused on practice (though there are some problems) and more on the history and motivation behind the ideas. This book introduced me to axiomatics, non-Euclidean geometry, quaternions, and abstract algebra in my senior year of high-school.

The Selfish Gene is wonderfully tight, indeed very little noise and a whole lot of signal. Here's two books if you want to learn about math you might want to learn about: The Facts on File Dictionary on Mathematics by Gibson, and Foundations and Fundamental Concepts of Mathematics by Howard Eves, which takes a historical approach, but is not a history per se. More like "this is what the Greeks did, in this period the use of calculus was pretty loose and look at this equation that Euler thought was right, these are the steps that brought rigor to it" etc. Susan Wise Bauer has been writing a series of history books solely focused on "politics", i.e. no coverage of the arts besides occasional mentions; that can be a very useful framework to then hang study of things like the arts off of. Also no wild speculation like Guns, Germs and Steel is filled with, if it wasn't written down and passed down to us, it gets only brief mention. Here's the first one: http://www.susanwisebauer.com/books/history-of-the-ancient-w... (http://www.susanwisebauer.com/books/history-of-the-ancient-world/)…