**Theory of the Integral**

by Stanislaw Saks

**Publisher**: Polish Mathematical Society 1937**ISBN/ASIN**: 0486446484**Number of pages**: 347

**Description**:

Covering all the standard topics, the author begins with a discussion of the integral in an abstract space, additive classes of sets, measurable functions, and integration of sequences of functions. Succeeding chapters cover Caratheodory measure; functions of bounded variation and the Lebesgue-Stieltjes integral; the derivation of additive functions of a set and of an interval; and more.

Download or read it online for free here:

**Download link**

(multiple PDF files)

## Similar books

**Lectures on Disintegration of Measures**

by

**L. Schwartz**-

**Tata Institute of Fundamental Research**

These Notes cover I) disintegration of a measure with respect to a single sigma-algebra, and in part II, measure valued supermartingales and regular disintegration of a measure with respect to an increasing right continuous family of sigma-algebras.

(

**7241**views)

**A Course of Modern Analysis**

by

**E. T. Whittaker, G. N. Watson**-

**Cambridge University Press**

This classic text is known to and used by thousands of mathematicians and students of mathematics throughout the world. It is the standard book of reference in English on the applications of analysis to the transcendental functions.

(

**38338**views)

**Lecture Notes on the Theory of Distributions**

by

**Guenther Hoermann, Roland Steinbauer**-

**Universitaet Wien**

From the table of contents: 1. Test Functions and Distributions; 2. Differentiation, Differential Operators; 3. Basic Constructions; 4. Convolution; 5. Fourier Transform and Temperate Distributions; 6. Regularity; 7. Fundamental Solutions.

(

**6604**views)

**Bernoulli Polynomials and Applications**

by

**Omran Kouba**-

**arXiv**

In these notes we try to familiarize the audience with the theory of Bernoulli polynomials; we study their properties, and we give, with proofs and references, some of the most relevant results related to them. Several applications are presented.

(

**5112**views)