000			02188nam a2200349 i 4500
008			060414s2006 riua b 001 0 eng
020			_a9780821841808
040			_aDLC _cDLC _dBAKER _dC#P _dYDXCP _dDLC _dBAUN
049			_aBAUN_MERKEZ
050	0	4	_aQA312 _b.T387 2006
082	0	0	_222
100	1		_aTaylor, Michael E., _d1946-
245	1	0	_aMeasure theory and integration / _cMichael E. Taylor.
264		1	_aProvidence, R.I. : _bAmerican Mathematical Society, _c[2006]
264		4	_c©2006
300			_axiii, 319 pages : _billustrations ; _c27 cm.
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
490	1		_aGraduate studies in mathematics, _x1065-7339 ; _vv. 76
504			_aIncludes bibliographical references (pages 311-313) and indexes.
505	0	0	_tTable Of Contents: _tIntroduction _tThe Riemann Integral _tLebesgue Measure on the Line _tIntegration on Measure Spaces _tLp Spaces _tThe Caratheodory Construction of Measures _tProduct Measures _tLebesgue Measure on Rn and on Manifolds _tSigned Measures and Complex Measures _tLp Spaces, II _tSobolev Spaces _tMaximal Functions and A.E. Phenomena _tHausdorff's r-Dimensional Measures _tRadon Measures _tErgodic Theory _tProbability Spaces and Random Variables _tWiener Measure and Brownian Motion _tConditional Expectation and Martingales _tAppendix A. Metric Spaces, Topological Spaces, and Compactness _tAppendix B. Derivatives, Diffeomorphisms, and Manifolds _tAppendix C. The Whitney Extension Theorem _tAppendix D. The Marcinkiewicz Interpolation Theorem _tAppendix E. Sard's Theorem _tAppendix F. A Change of Variable Theorem for Many-to-one Maps _tAppendix G. Integration of Differential Forms _tAppendix H. Change of Variables Revisited _tAppendix I. The Gauss-Green Formula on Lipschitz Domains _tBibliography _tSymbol Index _tSubject Index
650		0	_aMeasure theory.
650		0	_aRiemann integral.
650		0	_aConvergence.
650		0	_aProbabilities.
710	2		_9111032 _aAmerican Mathematical Society.
830		0	_9110509 _aGraduate studies in mathematics, _x1065-7339 ; _vvolume 76.
900			_a19535
900			_bSatın
942			_2lcc _cKT
999			_c16699 _d16699