A Course in Real Analysis

by Hugo D. Junghenn

Overview

A Course in Real Analysis provides a rigorous treatment of the foundations of differential and integral calculus at the advanced undergraduate level. The book's material has been extensively classroom tested in the author's two-semester undergraduate course on real analysis at The George Washington University.The first part of the text presents the

Product Details

ISBN-13:	9781040174197
Publisher:	CRC Press
Publication date:	02/13/2015
Series:	Textbooks in Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	613
File size:	4 MB

About the Author

Hugo D. Junghenn is a professor of mathematics at The George Washington University. He has published numerous journal articles and is the author of several books, including Option Valuation: A First Course in Financial Mathematics. His research interests include functional analysis, semigroups, and probability.

Table of Contents

Functions of One Variable: The Real Number System. Numerical Sequences. Limits and Continuity on R. Differentiation on R. Riemann Integration on R. Numerical Infinite Series. Sequences and Series of Functions. Functions of Several Variables: Metric Spaces. Differentiation on Rn. Lebesgue Measure on Rn. Lebesgue Integration on Rn. Curves and Surfaces in Rn. Integration on Surfaces. Appendices. Bibliography. Index.

Editorial Reviews

"… intended for a first course in real analysis. … It could also be used to support an advanced calculus course. … The approach is theoretical and the writing rigorously mathematical. There are numerous exercises. … If a library needs to add to its collection in this area, this book would be a good choice. Summing up: Recommended. Upper-division undergraduates and graduate students."
—D. Z. Spicer, University System of Maryland, USA for CHOICE, October 2015

"The book is carefully written, with rigorous proofs and a sufficient number of solved and unsolved problems. It is suitable for most university courses in mathematical analysis."
—Zentralblatt MATH 1317

From the Publisher