What are good linear algebra and analysis text books to prepare me for a course in differential geometry and topology? I have some back ground in linear algebra and analysis, but not as much as the course requires, so I'd like to catch up a little.
Also general text book thread
>pic unrelated, I don't know which text books the course will be based on
I can recommend "Linear algebra done right". I picked it up because i wanted a more rigorous approach to LA after a shitty course aimed for engineers. It proves everything without determinants which makes things crystal clear. Very demanding exercises (for me, atleast), 100% proofs.
I don't know too much about linear algebra texts, but I like Linear Algebra Done Right. For Analysis Pugh's "Real Mathematical Analysis" has a healthy chapter on metric space topology.
>>7976544
is this book any good ?
>>7976565
Be warned about the metric space chapter, he does compactness through converging sequences which is an out-dated way and doesn't get to the usual method of coverings until a tad later. I recommend starting with the coverings, then backing up to sequential compactness.
>>7976575
Do you not realize what makes differential topology 'differential'?
