Typically, undergraduates see real analysis as one of the most
difficult courses that a mathematics major is required to take. The
main reason for this perception is twofold: Students must
comprehend new abstract concepts and learn to deal with these
concepts on a level of rigor and proof not previously encountered.
A key challenge for an instructor of real analysis is to find a way
to bridge the gap between a student's preparation and the
mathematical skills that are required to be successful in such a
course. Real Analysis: With Proof Strategies provides a resolution
to the "bridging-the-gap problem." The book not only presents the
fundamental theorems of real analysis, but also shows the reader
how to compose and produce the proofs of these theorems. The
detail, rigor, and proof strategies offered in this textbook will
be appreciated by all readers. Features Explicitly shows the reader
how to produce and compose the proofs of the basic theorems in real
analysis Suitable for junior or senior undergraduates majoring in
mathematics.
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