000			01671nam a2200253 4500
005			20250612122247.0
008			250612b |||||||| |||| 00| 0 eng d
040			_aCSL _cCSL
041			_2eng _aeng
084			_aB325 Q9 NBHM _qCSL
100			_aKesavan, S. _eauthor. _9448965
245			_aMeasure and integration
260			_aNew Delhi: _bHindustan book agency, _c2019.
300			_ax, 239 p.; _c24 cm.
440			_vTexts and readings in mathematics; 77
500			_aIncludes bibliography and index.
520			_aThis book deals with topics usually studied in a masters or graduate level course on the theory of measure and integration. It starts with the Riemann integral and points out some of its shortcomings which motivate the theory of measure and the Lebesgue integral. Starting with abstract measures and outer-measures, the Lebesgue mea- sure is constructed and its important properties are highlighted. Measurable functions, different notions of convergence, the Lebesgue integral, the funda-mental theorem of calculus, product spaces, and signed measures are studied. There is a separate chapter on the change of variable formula and one on Lp-spaces. Most of the material in this book can be covered in a one semester course. The pre-requisite for following this book is familiarity with basic real analysis and elementary topological notions, with special emphasis on the topology of the N- dimensional euclidean space.
650			_2Measure
650			_2Convergence
650			_2 Integration
650			_2Differentiation
650			_2Lp spaces
942			_2CC _n0 _cTEXL _hB325 Q9 NBHM
999			_c1431643 _d1431643