**Elementary Real Analysis**

by B. S. Thomson, J. B. Bruckner, A. M. Bruckner

**Publisher**: Prentice Hall 2001**ISBN/ASIN**: 0130190756**ISBN-13**: 9780130190758**Number of pages**: 735

**Description**:

Elementary Real Analysis is written in a rigorous, yet reader friendly style with motivational and historical material that emphasizes the "big picture" and makes proofs seem natural rather than mysterious. Introduces key concepts such as point set theory, uniform continuity of functions and uniform convergence of sequences of functions. Covers metric spaces. Ideal for readers interested in mathematics, particularly in advanced calculus and real analysis.

Download or read it online for free here:

**Read online**

(online reading)

## Similar books

**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.

(

**3978**views)

**Introduction to Lebesgue Integration**

by

**W W L Chen**-

**Macquarie University**

An introduction to some of the basic ideas in Lebesgue integration with the minimal use of measure theory. Contents: the real numbers and countability, the Riemann integral, point sets, the Lebesgue integral, monotone convergence theorem, etc.

(

**10709**views)

**Notes on Measure and Integration**

by

**John Franks**-

**arXiv**

My intent is to introduce the Lebesgue integral in a quick, and hopefully painless, way and then go on to investigate the standard convergence theorems and a brief introduction to the Hilbert space of L2 functions on the interval.

(

**3350**views)

**Mathematical Analysis II**

by

**Elias Zakon**-

**The TrilliaGroup**

This book follows the release of the author's Mathematical Analysis I and completes the material on Real Analysis that is the foundation for later courses. The text is appropriate for any second course in real analysis or mathematical analysis.

(

**11313**views)