**Theory of the Integral**

by Brian S. Thomson

**Publisher**: ClassicalRealAnalysis.info 2012**ISBN/ASIN**: 1467924393**Number of pages**: 407

**Description**:

This text is intended as a treatise for a rigorous course introducing the elements of integration theory on the real line. All of the important features of the Riemann integral, the Lebesgue integral, and the Henstock-Kurzweil integral are covered.

Download or read it online for free here:

**Download link**

(2.3MB, PDF)

## Similar books

**Introduction to Real Analysis**

by

**Lee Larson**-

**University of Louisville**

From the table of contents: Basic Ideas (Sets, Functions and Relations, Cardinality); The Real Numbers; Sequences; Series; The Topology of R; Limits of Functions; Differentiation; Integration; Sequences of Functions; Fourier Series.

(

**8905**views)

**Elliptic Functions**

by

**Arthur Latham Baker**-

**John Wiley & Sons**

The author used only such methods as are familiar to the ordinary student of Calculus, avoiding those methods of discussion dependent upon the properties of double periodicity, and also those depending upon Functions of Complex Variables.

(

**13316**views)

**Lectures on Lipschitz Analysis**

by

**Juha Heinonen**

In these lectures, we concentrate on the theory of Lipschitz functions in Euclidean spaces. From the table of contents: Introduction; Extension; Differentiability; Sobolev spaces; Whitney flat forms; Locally standard Lipschitz structures.

(

**11562**views)

**Real Analysis**

by

**A. M. Bruckner, J. B. Bruckner, B. S. Thomson**-

**Prentice Hall**

This book provides an introductory chapter containing background material as well as a mini-overview of much of the course, making the book accessible to readers with varied backgrounds. It uses a wealth of examples to illustrate important concepts.

(

**20814**views)