I'm teaching a course over the summer (it's a sort of make-your-own course for non-majors) and I'm planning on organizing it as a math history course, hitting on major threads through about 1900, and focusing on the evolution of ideas and on people, rather than on the details of proofs. I've also been having a lot of trouble finding a good book covering this material (none finding books on ancient mathematics, but I want to focus on Renaissance to 19th Century, if possible), and so, here's my question:

What would be a good textbook for a course of this nature? Specifically, for a math history course targeted at non-science majors.