Theory of the integral /

• Main Author: Saks, Stanislaw, 1897-1942
• Format: Book
• Language: English
• Published: New York, N.Y. : Hafner, 1937
• Edition: 2nd rev. ed.
• Series: Monographie matematyczne Komitet Redakcyjny ; 7
• Subjects: INTEGRALES
• Online Access: https://archive.org/details/theoryoftheinteg032192mbp/page/n363/mode/2up

Table of Contents:

• Preface
• 1. The integral in an abstract space
• 2. Carathéodory measure
• 3. Functions of bounded variation and the Lebesgue-Stietjes integral
• 4. Derivation of additive functions of a set and of an interval
• 5. Area of a surface z=F(x,y)
• 6. Major and minor functions
• 7. Functions of generalized bounded variation
• 8. Denjoy integrals
• 9. Derivates of functions of one or two real variables
• Note by S. Banach: On Haar's measure. The Lebesgue integral in abstract spaces.