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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis
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Basic Real Analysis (Hardcover, 2nd ed. 2014)
Loot Price: R2,526
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Basic Real Analysis (Hardcover, 2nd ed. 2014)
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This expanded second edition presents the fundamentals and
touchstone results of real analysis in full rigor, but in a style
that requires little prior familiarity with proofs or mathematical
language. The text is a comprehensive and largely self-contained
introduction to the theory of real-valued functions of a real
variable. The chapters on Lebesgue measure and integral have been
rewritten entirely and greatly improved. They now contain
Lebesgue's differentiation theorem as well as his versions of the
Fundamental Theorem(s) of Calculus. With expanded chapters,
additional problems, and an expansive solutions manual, Basic Real
Analysis, Second Edition is ideal for senior undergraduates and
first-year graduate students, both as a classroom text and a
self-study guide. Reviews of first edition: The book is a clear and
well-structured introduction to real analysis aimed at senior
undergraduate and beginning graduate students. The prerequisites
are few, but a certain mathematical sophistication is required. ...
The text contains carefully worked out examples which contribute
motivating and helping to understand the theory. There is also an
excellent selection of exercises within the text and problem
sections at the end of each chapter. In fact, this textbook can
serve as a source of examples and exercises in real analysis.
-Zentralblatt MATH The quality of the exposition is good: strong
and complete versions of theorems are preferred, and the material
is organised so that all the proofs are of easily manageable
length; motivational comments are helpful, and there are plenty of
illustrative examples. The reader is strongly encouraged to learn
by doing: exercises are sprinkled liberally throughout the text and
each chapter ends with a set of problems, about 650 in all, some of
which are of considerable intrinsic interest. -Mathematical Reviews
[This text] introduces upper-division undergraduate or first-year
graduate students to real analysis.... Problems and exercises
abound; an appendix constructs the reals as the Cauchy (sequential)
completion of the rationals; references are copious and judiciously
chosen; and a detailed index brings up the rear. -CHOICE Reviews
General
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