A Second Course on Real Functions by A. C. M. van Rooij, W. H. Schikhof (Paperback, 1982)

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By W.H. Schikhof, A.C.M. van Rooij. Monotone functions; 2. Subsets of R; 3. Continuity; 4. Differentiation; 5. When considering a mathematical theorem one ought not only to know how to prove it but also why and whether any given conditions are necessary.