Real analysis : foundations and functions of one variable /
Miklós Laczkovich, Vera T. Sós.
- 1st ed. 2015.
- x, 483 páginas : 94 ilustraciones
- Undergraduate Texts in Mathematics, 0172-6056 .
Springer eBooks
A Short Historical Introduction -- Basic Concepts -- Real Numbers -- Infinite Sequences I -- Infinite Sequences II -- Infinite Sequences III -- Rudiments of Infinite Series -- Countable Sets -- Real Valued Functions of One Variable -- Continuity and Limits of Functions -- Various Important Classes of Functions (Elementary Functions) -- Differentiation -- Applications of Differentiation -- The Definite Integral -- Integration -- Applications of Integration -- Functions of Bounded Variation -- The Stieltjes Integral -- The Improper Integral.