**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

**Introduction to Analysis**

by

**Ray Mayer**-

**Reed College**

Contents: Notation, Undefined Concepts, Examples; Fields; Induction and Integers; Complexification of a Field; Real Numbers; Complex Numbers; Complex Sequences; Continuity; Properties of Continuous Functions; Derivative; Infinite Series; etc.

(

**7256**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.

(

**7811**views)

**Advanced Calculus and Analysis**

by

**Ian Craw**-

**University of Aberdeen**

Introductory calculus course, with some leanings to analysis. It covers sequences, monotone convergence, limits, continuity, differentiability, infinite series, power series, differentiation of functions of several variables, and multiple integrals.

(

**29091**views)

**An Introduction to Asymptotic Analysis**

by

**Simon J.A. Malham**-

**Heriot-Watt University**

From the table of contents: Order notation; Perturbation methods; Asymptotic series; Laplace integrals (Laplace's method, Watson's lemma); Method of stationary phase; Method of steepest descents; Bibliography; Notes; Exam formula sheet; etc.

(

**6795**views)