– 4th ed. The course is a first course in mathematical analysis aimed at students who do not necessarily wish to continue a p. cm. This text forms a bridge between courses in calculus and real analysis. Includes index. Introduction to real analysis / Robert G. Bartle, Donald R. Sherbert. Title. Functions of real variables. This book started its life as my lecture notes for Math 444 at the University of Illinois at Urbana-Champaign (UIUC) in the fall semester of 2009, and was later enhanced to teach Math 521 at University of Wisconsin-Madison (UW-Madison). In mathematics, real analysis is the branch of mathematical analysis that studies the behavior of real numbers, sequences and series of real numbers, and real functions. ISBN 978-0-471-43331-6 (hardback) 1. QA300.B294 2011 515–dc22 2010045251 Printed in the United States of America 10987654321 Introduction to Real Analysis. respectively the intervals of real numbers x satisfying c x