EAN: 9780521097512

LEBESGUE INTEGRATION AND MEASURE - ALAN J WEIR ...

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.

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