The "solid story" on Peter Baxandall’s Vector Calculus is that it remains one of the most respected, rigorous treatments of the subject, specifically prized for bridging the gap between introductory calculus and advanced differential geometry. Why it’s a "Solid" Resource
Baxandall writes dense prose. Read a section (e.g., 5.3 "Curl and Circulation") once just to see the pictures. vector calculus peter baxandall pdf
Baxandall writes in a narrative style. Do not skip the paragraphs between equations. He often hides a crucial insight—like why a zero curl implies a conservative field—in a parenthetical aside. The "solid story" on Peter Baxandall’s Vector Calculus
Because this is an older text, used copies are cheap. Check: rigorous treatments of the subject