Real functions

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Author(s): Casper Goffman
Publisher: Rinehart
Year: 1953

Language: English

Title page
Contents (detailed)
1 Sets and Operations
2 Equivalence of Sets. Cardinal Numbers
3 The Real Numbers
4 Limit Theorems
5 Simple Properties of Sets
6 The Cantor Ternary Set
7 Functions
8 Sequences of Functions
9 The Derivative of a Function
10 Order Types and Ordinals
11 Borel Sets and Baire Functions
12 Applications of Well-Ordering
13 Measure and Measurable Sets
14 Metric Properties of Sets
15 Measurable Functions
16 Approximation of Measurable Functions
17 The Lebesgue Integral and the Riemann Integral
18 The Lebesgue Integral as a Set Function
19 The Fundamental Theorem of the Calculus
20 Planar Measure and Double Integration