Lebesgue integration is a technique of great power and elegance which
can be applied in situations where other methods of integration fail. It
is now one of the standard tools of modern mathematics, and forms part
of many undergraduate courses in pure mathematics. Dr Weir's book is
aimed at the student who is meeting the Lebesgue integral for the first
time. Defining the integral in terms of step functions provides an
immediate link to elementary integration theory as taught in calculus
courses. The more abstract concept of Lebesgue measure, which
generalises the primitive notions of length, area and volume, is deduced
later. The explanations are simple and detailed with particular stress
on motivation. Over 250 exercises accompany the text and are grouped at
the ends of the sections to which they relate; notes on the solutions
are given.Download
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