**Basic Analysis: Introduction to Real Analysis**

by Jiri Lebl

**Publisher**: Lulu.com 2009**Number of pages**: 161

**Description**:

This free online textbook is a first course in mathematical analysis aimed at students who do not necessarily wish to continue a graduate study in mathematics. A prerequisite for the course is a basic proof course. The text does not cover topics such as metric spaces, which a more advanced text would.

Download or read it online for free here:

**Download link**

(990KB, PDF)

## Similar books

**Introduction to Infinitesimal Analysis: Functions of One Real Variable**

by

**N. J. Lennes**-

**John Wiley & Sons**

This volume is designed as a reference book for a course dealing with the fundamental theorems of infinitesimal calculus in a rigorous manner. The book may also be used as a basis for a rather short theoretical course on real functions.

(

**8551**views)

**An Introduction to Real Analysis**

by

**John K. Hunter**-

**University of California Davis**

These are some notes on introductory real analysis. They cover the properties of the real numbers, sequences and series of real numbers, limits of functions, continuity, differentiability, sequences and series of functions, and Riemann integration.

(

**1972**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.

(

**29425**views)

**Set Theoretic Real Analysis**

by

**Krzysztof Ciesielski**-

**Heldermann Verlag**

This text surveys the recent results that concern real functions whose statements involve the use of set theory. The choice of the topics follows the author's personal interest in the subject. Most of the results are left without the proofs.

(

**10836**views)