000			01785nam a22003017a 4500
003			IIITD
005			20231113172225.0
008			231107b xxu||||| |||| 00| 0 eng d
010			_a 95046511
020			_a9780817638849
040			_aDLC _cDLC _dIIITD
050	0	0	_aQA273 _b.A414 1996
082			_a515.42 _220 _bADA-M
100			_aAdams, Malcolm
245			_aMeasure theory and probability _cby Malcolm Adams and Victor Guillemin
260			_aBoston : _bBirkhauser, _c©1996
300			_axiv, 205 p. : _bill. ; _c24 cm.
504			_aThis book includes bibliographical references and index.
505			_tChapter: 1 Measure Theory _t1.1. Introduction. 1.2. Randomness. 1.3. Measure Theory. 1.4. Measure Theoretic Modeling _tChapter: 2 Integration _t2.1. Measurable Functions. 2.2. The Lebesgue Integral. 2.3. Further Properties of the Integral; Convergence Theorems. 2.4. Lebesgue Integration versus Riemann Integration. 2.5. Fubini Theorem. 2.6. Random Variables, Expectation Values, and Independence. 2.7. The Law of Large Numbers. 2.8. The Discrete Dirichlet Problem _tChapter: 3 Fourier Analysis _t3.1. L[superscript 1]-Theory. 3.2. L[superscript 2]-Theory. 3.3. The Geometry of Hilbert Space. 3.4. Fourier Series. 3.5. The Fourier Integral. 3.6. Some Applications of Fourier Series to Probability Theory. 3.7. An Application of Probability Theory to Fourier Series. 3.8. The Central Limit Theorem
650			_aMeasure theory.
650			_aProbabilities.
650			_aDistribution (Probability theory)
650			_aMathematics
700			_aGuillemin, Victor
906			_a7 _bcbc _corignew _d1 _eocip _f19 _gy-gencatlg
942			_2ddc _cBK
999			_c171828 _d171828