id: 06398574
dt: b
an: 2015e.00711
au: Junghenn, Hugo D.
ti: A course in real analysis.
so: Boca Raton, FL: CRC Press (ISBN 978-1-4822-1927-2/hbk+ebook). xxiii, 589~p.
(2015).
py: 2015
pu: Boca Raton, FL: CRC Press
la: EN
cc: I15
ut: real analysis; differential calculus; integral calculus; measure and
integration
ci:
li:
ab: This book is a classical university textbook in real analysis. The first
part is devoted to the theory of functions of one variable. It contains
standard topics, like, number sequences, limits, continuity,
differentiation, Riemann integrals, numeric and functional sequences.
The second part covers the theory of functions of several variables,
their differentiation, Lebesgue integrals, curves, surfaces and
integrals on them. An introductory part deals with the basics of metric
spaces theory. 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.
rv: Vladimír Janiš (Banská Bystrica)