In my experience, “analysis” can refer to two things: (1) A proof-based calculus course; or (2) measure theory, functional analysis, advanced partial differential equations. Spivak’s Calculus is a good example of (1). I don’t have strong opinions about good texts for (2).
In my experience, “analysis” can refer to two things: (1) A proof-based calculus course; or (2) measure theory, functional analysis, advanced partial differential equations. Spivak’s Calculus is a good example of (1). I don’t have strong opinions about good texts for (2).