I take it the requisite level of mathematical maturity is fairly low? (For instance, I’m assuming Rosen doesn’t leave gaps in his proofs for the reader to fill in.)
I ask because I’ve sometimes had trouble with low-maturity math books with novel content, and “accessible” can mean “little mathematical maturity required” or “high-school-level prerequisites”.
Yes, I think that’s true. There are gaps, but they’re mainly “trust me” results way out of the scope of the book, like the existence of NP-complete problems and so forth. He definitely doesn’t have proofs that require large leaps in intuition.
I have also found that getting only “advanced undergraduate & graduate level” books to be also a major mistakes, it is a rationality failure to not get all across the prereq spectrum for mathematics I think.
I take it the requisite level of mathematical maturity is fairly low? (For instance, I’m assuming Rosen doesn’t leave gaps in his proofs for the reader to fill in.)
I ask because I’ve sometimes had trouble with low-maturity math books with novel content, and “accessible” can mean “little mathematical maturity required” or “high-school-level prerequisites”.
Yes, I think that’s true. There are gaps, but they’re mainly “trust me” results way out of the scope of the book, like the existence of NP-complete problems and so forth. He definitely doesn’t have proofs that require large leaps in intuition.
I have also found that getting only “advanced undergraduate & graduate level” books to be also a major mistakes, it is a rationality failure to not get all across the prereq spectrum for mathematics I think.