Exposes students to stimulating and enlightening proofs and hard
problems of classical analysis mainly published in the Mathematical
Association of America Monthly. Presents proofs as a form of
exploration rather than just a manipulation of symbols. Draws on
the papers from the MAA journals, numerous conceptually clear
proofs are offered. Provides proofs either as a novel presentation
of a familiar theorem or a lively discussion of a single issue,
sometimes with multiple derivations. Collects and present problems
to promote creative techniques for problem solving and
undergraduate research and offers instructors an opportunity to
assign these problems as projects. This book provides a wealth of
opportunities for these projects. Selects problems for its natural
charm - the connection with an authentic mathematical experience,
the origination from the ingenious work of professionals, and ready
developments into well-shaped results of broader interest.
General
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