Reddit reviews An Introduction to the History of Mathematics (Saunders Series)
We found 6 Reddit comments about An Introduction to the History of Mathematics (Saunders Series). Here are the top ones, ranked by their Reddit score.
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i'd highly recommend 'an introduction to the history of mathematics' - gives a really good background on math from an cultural and evolutionary standpoint.
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An Introduction to the History of Mathematics by Howard Eves was the book we used in the math history course I took as an undergrad. It would probably meet your needs.
A good free book is A History of Mathematics by Florian Cajori. It's old but has lots of personal info about various mathematicians.
We used this book by Howard Eves in my undergrad course on the history of math, and I think it's still a very good introduction.
Also:
This was my textbook for an undergrad class I took in math history. I believe it covers everything in your list, and it's all super interesting!
https://www.amazon.com/gp/product/0030295580/ref=oh_aui_search_detailpage?ie=UTF8&psc=1
To answer your second question, KhanAcademy is always good for algebra/trig/basic calc stuff. Another good resource is Paul's online Math Notes, especially if you prefer reading to watching videos.
To answer your second question, here are some classic texts you could try (keep in mind that parts of them may not make all that much sense without knowing any calculus or abstract algebra):
Men of Mathematics by E.T. Bell
The History of Calculus by Carl Boyer
Some other well-received math history books:
An Intro to the History of Math by Howard Eves, Journey Through Genius by William Dunham, Morris Kline's monumental 3-part series (1, 2, 3) (best left until later), and another brilliant book by Dunham.
And the MacTutor History of Math site is a great resource.
Finally, some really great historical thrillers that deal with some really exciting stuff in number theory:
Fermat's Enigma by Simon Sigh
The Music of the Primes by Marcus DuSautoy
Also (I know this is a lot), this is a widely-renowned and cheap book for learning about modern/university-level math: Concepts of Modern Math by Ian Stewart.