**Real Analysis**

by Martin Smith-Martinez, et al.

**Publisher**: Wikibooks 2013

**Description**:

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.

Download or read it online for free here:

**Read online**

(online html)

## Similar books

**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.

(

**29122**views)

**Theory of the Integral**

by

**Brian S. Thomson**-

**ClassicalRealAnalysis.info**

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.

(

**13296**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.

(

**2928**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.

(

**3744**views)