000			01234nam a2200157 a 4500
020			_a9780521097512
020			_a0521097517
082			_a515.43 _bWEI
100			_aWeir, Alan J.
245			_aLebesgue Integration and Measure
260			_aCambridge: _bCambridge University Press, _c1999.
300			_axii, 281 pages.
500			_aincludes Index
520			_aLebesgue 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.
942			_cREF
999			_c39257 _d39257