000			03013cam a2200373 a 4500
999			_c109652 _d109652
001			14978499
003			OSt
005			20210831143116.0
008			070824s2008 enka b 001 0 eng
010			_a 2007035326
015			_aGBA808757 _2bnb
016	7		_a014500130 _2Uk
020			_a9780521711838 (pbk.)
035			_a(OCoLC)ocn180851909
035			_a(OCoLC)180851909 _z(OCoLC)180751254
040			_aDLC _cDLC _dBAKER _dBTCTA _dC#P _dUKM _dYDXCP _dIXA _dDLC
082	0	0	_a515.42 BRE _222
100	1		_aBressoud, David M., _d1950-
245	1	2	_aRadical approach to Lebesgue's theory of integration / _cDavid M. Bressoud.
246			_aA radical approach to Lebesgue's theory of integration
260			_aCambridge ; _aNew York : _bCambridge University Press, _c2008.
300			_axiv, 329 p. : _bill. ; _c26 cm.
440		0	_aMAA textbooks
500			_aTB2885/01 GBP 38.99 Rs.4192/-
504			_aIncludes bibliographical references (p. 317-322) and index.
505			_a1. Introduction 2. The Riemann integral 3. Explorations of R 4. Nowhere dense sets and the problem with the fundamental theorem of calculus 5. The development of measure theory 6. The Lebesgue integral 7. The fundamental theorem of calculus 8. Fourier series 9. Epilogue: A. Other directions B. Hints to selected exercises.
520			_aMeant for advanced undergraduate and graduate students in mathematics, this lively introduction to measure theory and Lebesgue integration is rooted in and motivated by the historical questions that led to its development. The author stresses the original purpose of the definitions and theorems and highlights some of the difficulties that were encountered as these ideas were refined. The story begins with Riemann's definition of the integral, a definition created so that he could understand how broadly one could define a function and yet have it be integrable. The reader then follows the efforts of many mathematicians who wrestled with the difficulties inherent in the Riemann integral, leading to the work in the late 19th and early 20th centuries of Jordan, Borel, and Lebesgue, who finally broke with Riemann's definition. Ushering in a new way of understanding integration, they opened the door to fresh and productive approaches to many of the previously intractable problems of analysis. Exercises at the end of each section, allowing students to explore their understanding Hints to help students get started on challenging problems Boxed definitions make it easier to identify key definitions.
650		0	_aIntegrals, Generalized.
856	4	1	_3Table of contents only _uhttp://www.loc.gov/catdir/enhancements/fy0803/2007035326-t.html
856	4	2	_3Publisher description _uhttp://www.loc.gov/catdir/enhancements/fy0803/2007035326-d.html
906			_a7 _bcbc _corignew _d1 _eecip _f20 _gy-gencatlg
942			_2ddc _cBK