**Introduction to Lebesgue Integration**

by W W L Chen

**Publisher**: Macquarie University 1996**Number of pages**: 75

**Description**:

An introduction to some of the basic ideas in Lebesgue integration with the minimal use of measure theory. Contents: the real numbers and countability, the Riemann integral, point sets, the Lebesgue integral, monotone convergence theorem, dominated convergence theorem, etc.

Download or read it online for free here:

**Download link**

(1.1MB, PDF)

## Similar books

**Differential Calculus**

by

**Pierre Schapira**-

**Université Paris VI**

The notes provide a short presentation of the main concepts of differential calculus. Our point of view is the abstract setting of a real normed space, and when necessary to specialize to the case of a finite dimensional space endowed with a basis.

(

**4150**views)

**Real Analysis**

by

**Martin Smith-Martinez, et al.**-

**Wikibooks**

This introductory book is concerned in particular with analysis in the context of the real numbers. It will first develop the basic concepts needed for the idea of functions, then move on to the more analysis-based topics.

(

**7179**views)

**Theory of Functions of a Real Variable**

by

**Shlomo Sternberg**

The topology of metric spaces, Hilbert spaces and compact operators, the Fourier transform, measure theory, the Lebesgue integral, the Daniell integral, Wiener measure, Brownian motion and white noise, Haar measure, Banach algebras, etc.

(

**29044**views)

**An Introductory Single Variable Real Analysis**

by

**Marcel B. Finan**-

**Arkansas Tech University**

The text is designed for an introductory course in real analysis suitable to upper sophomore or junior level students who already had the calculus sequel and a course in discrete mathematics. The content is considered a moderate level of difficulty.

(

**7003**views)