id: 06340731
dt: b
an: 2015c.00767
au: Sohrab, Houshang H.
ti: Basic real analysis. 2nd extended ed.
so: New York, NY: Birkhäuser/Springer (ISBN 978-1-4939-1840-9/hbk;
978-1-4939-1841-6/ebook). xi, 683~p. (2014).
py: 2014
pu: New York, NY: Birkhäuser/Springer
la: EN
cc: I15
ut: textbook; analysis
ci: Zbl 1035.26001
li: doi:10.1007/978-1-4939-1841-6
ab: This is the second edition of an analysis textbook which starts from the
basics (elementary set theory) and covers the usual parts of calculus
(continuity, differentiability, integrability, real and complex
sequences). However, it also treats two additional topics which may be
regarded as an important preparation of functional analysis, viz.
metric and normed spaces, on the one hand, and the Lebesgue measure and
integral on the real line, on the other. The interested reader may get
a more detailed idea of the contents from the review of the first
edition [Basic real analysis. Boston, MA: Birkhäuser (2003; Zbl
1035.26001)]. As pointed out there, the main positive characteristic of
the book is the wealth of illuminating examples and exercises which
make this a valuable textbook on every level of mathematical education.
rv: Jürgen Appell (Würzburg)