Introduction to Real Analysis

*Free Hyperlinked Edition 2.04 December 2013

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 real number system. Differential calculus of functions of one variable. Riemann integral functions of one variable. Integral calculus of real-valued functions. Metric Spaces. For those who want to gain an understanding of mathematical analysis and challenging mathematical concepts.

Table of Contents

Chapter 1 The Real Numbers 

Chapter 2 Differential Calculus of Functions of One Variable 

Chapter 3 Integral Calculus of Functions of One

Chapter 4 Infinite Sequences and Series 

Chapter 5 Real-Valued Functions of Several Varables 

Chapter 6 Vector-Valued Functions of Several Variables 

Chapter 7 Integrals of Functions of Several Variables 

Chapter 8 Metric Spaces 

Answers to Selected 

About the author

Prior to entering academia, William F. Trench was employed as an applied mathematician by RCA, Philco, and General Electric. His main research interests were in linear algebra and ordinary differential equations. He was the recipient of multiple National Science Foundation (NSF) grants.