A Second Course on Real Functions

Klappentext 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. Zusammenfassung 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. All too often little attention is paid to to this side of the theory and in writing this account of the theory of real functions the authors hope to rectify matters. Inhaltsverzeichnis 1. Monotone functions; 2. Subsets of R; 3. Continuity; 4. Differentiation; 5. Borel measurability; 6. Integration.

Inhalt

1. Monotone functions; 2. Subsets of R; 3. Continuity; 4. Differentiation; 5. Borel measurability; 6. Integration.