**Introduction to Real Analysis**

by William F. Trench

**Publisher**: Prentice Hall 2003**ISBN/ASIN**: 0130457868**ISBN-13**: 9780130457868**Number of pages**: 583

**Description**:

Using an extremely clear and informal approach, this book introduces readers to a rigorous understanding of mathematical analysis and presents challenging math concepts as clearly as possible. The book is written for those who want to gain an understanding of mathematical analysis and challenging mathematical concepts.

Download or read it online for free here:

**Download link**

(2.4MB, PDF)

## 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.

(

**3594**views)

**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.

(

**8125**views)

**Introduction to Real Analysis**

by

**Lee Larson**-

**University of Louisville**

From the table of contents: Basic Ideas (Sets, Functions and Relations, Cardinality); The Real Numbers; Sequences; Series; The Topology of R; Limits of Functions; Differentiation; Integration; Sequences of Functions; Fourier Series.

(

**2564**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.

(

**2765**views)