>>13232548H&K is best and it's not even close. it covers pretty much everything a maths/physics undergraduate should know in the span of 500 pages, the exposition is fantastic (their chapter on determinants is exemplary), the proofs - elegant, the exercises - instructive. only real criticism is that the section on multilinear algebra isn't that good and that the derivation of the Jordan canonical form does not, iirc, use generalised eigenvectors/-spaces (iirc they use the rational form)
to summarise, it's 10/10 and an exemplary textbook of *pure* mathematics
>>13232551>IS... IS T-THAT A D-D-DETERMINANT? AAAAAAAAAAAAAAAAAH, I'M LOSING MY MIIIIIIIIIIIIIIIIND>>13232565this one's actually pretty good, it's very similar to H&K in spirit, albeit a little easier and with more calculations/applications
>>13232686i'm a big fan of Russian textbooks, but Shilov i just couldn't get into (perhaps because i already knew most everything in the book; maybe if i had read it at a more formative time i'd be more impressed with it)
