3 ms·

I loved the axiomatic approach followed in the introduction! It builds intuition from the very beginning. At some point I could not follow anymore as the notati

by elteto 9y ago

I loved the axiomatic approach followed in the introduction! It builds intuition from the very beginning. At some point I could not follow anymore as the notation and the concepts started getting more complicated and I lack the math background to keep up. One of my favorite undergrad classes was linear algebra. I wonder if there are any linear algebra books out there that follow this approach of "build the world, one axiom at a time". My sweet spot would be something aimed at someone who is not a mathematician but has some math background (like an engineering unndergrad) and can follow along with a bit of effort and study. Any recommendations?

adamnemecek 9y ago
> I loved the axiomatic approach followed in the introduction! It builds intuition from the very beginning. At some point I could not follow anymore as the notation and the concepts started getting more complicated and I lack the math background to keep up. Patience. It relies on mathematics that are probably foreign to you, so it makes sense.
JadeNB 9y ago
> I wonder if there are any linear algebra books out there that follow this approach of "build the world, one axiom at a time". Basically any math book—so most textbooks don't qualify as math books—will do things this way. SUMS (http://www.springer.com/series/3423 http://www.springer.com/series/3423) and most MAA publications (https://www.maa.org/press/books/book-series https://www.maa.org/press/books/book-series) are good places to look. I didn't see one in a glance at the MAA series, but SUMS has Further Linear Algebra (http://www.springer.com/us/book/9781852334253 http://www.springer.com/us/book/9781852334253). I haven't used it personally, but it looks like it has a chance of being the sort of thing you want.
esmi 9y ago
I've found this LA textbook follows the "build the world" approach. http://joshua.smcvt.edu/linearalgebra/ http://joshua.smcvt.edu/linearalgebra/

by elteto 9y ago

adamnemecek 9y ago

> I loved the axiomatic approach followed in the introduction! It builds intuition from the very beginning. At some point I could not follow anymore as the notation and the concepts started getting more complicated and I lack the math background to keep up. Patience. It relies on mathematics that are probably foreign to you, so it makes sense.

JadeNB 9y ago

> I wonder if there are any linear algebra books out there that follow this approach of "build the world, one axiom at a time". Basically any math book—so most textbooks don't qualify as math books—will do things this way. SUMS (http://www.springer.com/series/3423 http://www.springer.com/series/3423) and most MAA publications (https://www.maa.org/press/books/book-series https://www.maa.org/press/books/book-series) are good places to look. I didn't see one in a glance at the MAA series, but SUMS has Further Linear Algebra (http://www.springer.com/us/book/9781852334253 http://www.springer.com/us/book/9781852334253). I haven't used it personally, but it looks like it has a chance of being the sort of thing you want.

esmi 9y ago

I've found this LA textbook follows the "build the world" approach. http://joshua.smcvt.edu/linearalgebra/ http://joshua.smcvt.edu/linearalgebra/