**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

**The General Theory of Dirichlet's Series**

by

**G.H. Hardy, Marcel Riesz**-

**Cambridge University Press**

This classic work explains the theory and formulas behind Dirichlet's series and offers the first systematic account of Riesz's theory of the summation of series by typical means. Its authors rank among the most distinguished mathematicians ...

(

**2141**views)

**Basic Real Analysis**

by

**Anthony W. Knapp**-

**BirkhĂ¤user**

A comprehensive treatment with a global view of the subject, emphasizing connections between real analysis and other branches of mathematics. Included throughout are many examples and hundreds of problems, with hints or complete solutions for most.

(

**3274**views)

**The Foundations of Analysis**

by

**Larry Clifton**-

**arXiv**

This is a detailed introduction to the real number system from a categorical perspective. We begin with the categorical definition of the natural numbers, review the Eudoxus theory of ratios, and then define the positive real numbers categorically.

(

**4558**views)

**Real Analysis for Graduate Students: Measure and Integration Theory**

by

**Richard F. Bass**-

**CreateSpace**

Nearly every Ph.D. student in mathematics needs to take a preliminary or qualifying examination in real analysis. This book provides the necessary tools to pass such an examination. The author presents the material in as clear a fashion as possible.

(

**9104**views)