Book recommendations on the history of mathematics?

 Posts: 425
 Joined: Sun Sep 02, 2018 11:57 am
Book recommendations on the history of mathematics?
I learned a lot of math in school, but it was all basically just how to copy techniques to solve problems. What I want to learn now is the more formal mathematics/proofs of these concepts, as well as the history of how various things came to be. Does anyone have any good book suggestions that cover this?
 Alphaville
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 Joined: Thu Oct 03, 2019 10:50 am
 Location: Quarantined
Re: Book recommendations on the history of mathematics?
i’d do wikipedia. it’s tailormade for this sort of thing. endless rabbit holes to pursue.
eg
https://en.wikipedia.org/wiki/History_of_mathematics
to
https://en.wikipedia.org/wiki/Babylonian_mathematics
to
https://en.wikipedia.org/wiki/Babylonia ... m_numerals and https://en.wikipedia.org/wiki/Plimpton_322
to
https://en.wikipedia.org/wiki/Sexagesimal#Modern_usage and https://en.wikipedia.org/wiki/Pythagorean_triple
then
https://en.wikipedia.org/wiki/Euclid
etc
and they’re on their annual fundraising drive right now. why not throw them a few bucks?
eg
https://en.wikipedia.org/wiki/History_of_mathematics
to
https://en.wikipedia.org/wiki/Babylonian_mathematics
to
https://en.wikipedia.org/wiki/Babylonia ... m_numerals and https://en.wikipedia.org/wiki/Plimpton_322
to
https://en.wikipedia.org/wiki/Sexagesimal#Modern_usage and https://en.wikipedia.org/wiki/Pythagorean_triple
then
https://en.wikipedia.org/wiki/Euclid
etc
and they’re on their annual fundraising drive right now. why not throw them a few bucks?
Re: Book recommendations on the history of mathematics?
I'm a fan of pop nonfiction that takes one simple concept and tells a story around it. For example, googling, "history of zero book" will yield a couple of titles that do this with the emergence and adoption of the number zero. Why we use x for the unknown has a pretty neat story, too.
Re: Book recommendations on the history of mathematics?
The Princeton Companion to Mathematics (both pure and applied are great)
Rudin  Principles of Mathematical Analysis (complex and functional after this... Tao is another option)
Polya  How to Solve it
Tao  Solving Mathematical Problems
Jaynes  Probability Theory
Pinter  A Book of Abstract Algebra
Russell  Introduction to Mathematical Philosophy
Add a good linear algebra book and that covers foundations. I could also recommend more specialized sources if you have a goal in mind or just want to reach a bit.
Rudin  Principles of Mathematical Analysis (complex and functional after this... Tao is another option)
Polya  How to Solve it
Tao  Solving Mathematical Problems
Jaynes  Probability Theory
Pinter  A Book of Abstract Algebra
Russell  Introduction to Mathematical Philosophy
Add a good linear algebra book and that covers foundations. I could also recommend more specialized sources if you have a goal in mind or just want to reach a bit.
Re: Book recommendations on the history of mathematics?
I would've said Springer series on history of mathematics but I'm biased because I've only opened books by 1 author from them.
Re: Book recommendations on the history of mathematics?
World of MathematicsNewman
The Works of Henri Poincare
The Most Elegant EquationStipp
The Theory that Would Not DieMcGrayne
The Book of NumbersConway
The Works of Henri Poincare
The Most Elegant EquationStipp
The Theory that Would Not DieMcGrayne
The Book of NumbersConway

 Posts: 425
 Joined: Sun Sep 02, 2018 11:57 am
Re: Book recommendations on the history of mathematics?
Thanks for the good recommendations everyone. I'll check these books out!
Re: Book recommendations on the history of mathematics?
On the lighter side I can recommend "Alex's Adventures in Numberland". It focuses on a few math problems, and does it in a quite entertaining way.