Hobson E. The Theory of Functions of a Real Variable and the Theory of Fourier's Series. Volume I

2nd Edition, Revised and Enlarged. — Cambridge: Cambridge University Press, 1921. — XVI, 671 p.Classical treatise on the Theory of Functions of a real variable - Volume I.Number
Descriptive Properties of Sets of Points
The Metric Properties of Sets of Points
Transfinite Numbers and Order-Types
Functions of a Real Variable
The Riemann Integral
The Lebesgue Integral
Non-Absolutely Convergent Integrals