Looking for math history books that I'm not sure exist

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I've browsed many math history books, but I've never read too deep into any single one. I always find myself reading the about the same facts and same people over and over -- the set of topics doesn't seem to reflect the richness of mathematical history.

I want to learn how the techniques and topics in math have changed over time, and what role and applications math played in various societies. I find knowing the historical development of more modern techniques really helpful for understanding math from school. As well, I like learning about the different ways different societies think of mathematical concepts.

These are many broad ideas, so I guess I am interested in any historical material (books, websites, etc) that doesn't follow the pervasive pattern I see -- where the exposition is crowded with random biographical details and uncritical praise of mostly upper-class men, with little attention to the broad trends, and women and non-european mathematics barely mentioned.

PS for context I am almost finished an undergraduate degree and have that level of math understanding. I especially like algebra and topology.