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.
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.
"… 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
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