**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.

(

**5356**views)

**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 ...

(

**2950**views)

**Mathematical Analysis I**

by

**Elias Zakon**-

**The Trillia Group**

Topics include metric spaces, convergent sequences, open and closed sets, function limits and continuity, sequences and series of functions, compact sets, power series, Taylor's theorem, differentiation and integration, total variation, and more.

(

**12639**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.

(

**12412**views)