This book introduces the elements of the theory of real-valued
functions of a real variable. The book is aimed at young
mathematicians and others who would like to see a coherent account
of basic analysis as a rigorous mathematical theory. It aims to
avoid various extremes: It does not brush any of the serious
difficulties in analysis proper under the carpet. The reader is
assumed to be bright, and willing to work hard. It does not dwell
on routine stuff. The reader has probably already taken a
non-rigorous calculus course, and does not need to be led through
that material again.
General
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