**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

**Analysis Tools with Applications**

by

**Bruce K. Driver**-

**Springer**

These are lecture notes from Real analysis and PDE: Basic Topological, Metric and Banach Space Notions; Riemann Integral and ODE; Lebesbgue Integration; Hilbert Spaces and Spectral Theory of Compact Operators; Complex Variable Theory; etc.

(

**10906**views)

**Irrational Numbers and Their Representation by Sequences and Series**

by

**Henry Parker Manning**-

**J. Wiley & sons**

This book is intended to explain the nature of irrational numbers, and those parts of Algebra which depend on the theory of limits. We have endeavored to show how the fundamental operations are to be performed in the case of irrational numbers.

(

**2480**views)

**Undergraduate Analysis Tools**

by

**Bruce K. Driver**-

**University of California, San Diego**

Contents: Natural, integer, and rational Numbers; Fields; Real Numbers; Complex Numbers; Set Operations, Functions, and Counting; Metric Spaces; Series and Sums in Banach Spaces; Topological Considerations; Differential Calculus in One Real Variable.

(

**3577**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.

(

**7816**views)