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Ask HN: Best books to self study undergrad level mathematics?

5 pointsby optbuildabout 2 years ago
What topics in math should an undergrad know? And what are some of the best books for each topic that are suitable for someone who wants to self study the topics, maybe from a non-math major.<p>High school algebra and geometry are considered to be known.

2 comments

andrewfromxabout 2 years ago
<a href="http:&#x2F;&#x2F;djm.cc&#x2F;library&#x2F;Calculus_Made_Easy_Thompson.pdf" rel="nofollow">http:&#x2F;&#x2F;djm.cc&#x2F;library&#x2F;Calculus_Made_Easy_Thompson.pdf</a><p>&quot;from page 4: &quot;one minute&quot; - meaning a minute fraction of an hour. When we required smaller subdivisions they divided each minute into 60 smaller parts they called &quot;second minutes&quot;. i.e. small quantities of the second order of minuteness. Nowadays we just call these &quot;seconds&quot;!&quot;
GalenErsoabout 2 years ago
Topics:<p>- Single variable calculus<p>- Multivariable calculus, vector calculus<p>- Linear algebra<p>- Tensor calculus<p>- Real analysis (see Walther Rudin)<p>- Complex analysis<p>- Ordinary differential equations<p>- Partial differential equations<p>- Abstract algebra<p>- Differential geometry