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Rob_Sayers comments on The Simple Math of Everything - Less Wrong
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I've been reading a book similar to what you have in mind I think. It's "Mathematics: From the birth of numbers" (http://www.amazon.com/Mathematics-Birth-Numbers-Jan-Gullberg/dp/039304002X). It starts very basic but covers all sorts of advanced topics. It's designed for someone with no higher math learning. I'm about 1/4 of the way through it and so far very impressed.
First off, that book looks wonderful. It looks, just from the description, like it goes deeper into Math, rather than covering the math of other fields. As delightful as Math can be, I'd be much more interested in having a primer on the math of all sorts of other things.