000			02197nam a2200361 i 4500
001			1528
005			20250217193044.0
008			940701s1995 nyua b 001 0 eng
010			_a94027962
020			_a0387943579 _qNew York : acid-free paper
020			_a9780387943572 _qNew York : acid-free paper
020			_a3540943579 _qBerlin : acid-free paper
020			_a9783540943570 _qBerlin : acid-free paper
040			_aDLC _beng _cDLC _dBAKER _dNLGGC _dBTCTA _dYDXCP _dLVB _dOCLCG _dGBVCP _dUAB _dZWZ _dDEBBG _dOCL _dOCLCF _dOCLCO
041	0		_aeng
049			_aBAUN_MERKEZ
050	0	4	_aQA312 _b.C47 1995
100	1		_aChae, Soo Bong, _d1939- _983675 _eaut
245	1	0	_aLebesgue integration / _cSoo Bong Chae.
250			_a2nd ed.
264		1	_aNew York : _bSpringer-Verlag, _c[1995]
264		4	_c©1995
300			_axiii, 264 pages : _billustrations ; _c23 cm.
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
490	1		_aUniversitext
504			_aIncludes bibliographical references (pages [249]-253) and index.
505	0	0	_t-- Ch. 0. Preliminaries. 1. Sets. 2. Relations. 3. Countable Sets. 4. Real Numbers. 5. Topological Concepts in R. 6. Continuous Functions. 7. Metric Spaces _t-- Ch. I. The Riemann Integral. 1. The Cauchy Integral. 2. Fourier Series and Dirichlet's Conditions. 3. The Riemann Integral. 4. Sets of Measure Zero. 5. Existence of the Riemann Integral. 6. Deficiencies of the Riemann Integral _t-- Ch. II. The Lebesgue Integral: Riesz Method. 1. Step Functions and Their Integrals. 2. Two Fundamental Lemmas. 3. The Class L[superscript +]. 4. The Lebesgue Integral. 5. The Beppo Levi Theorem _t-- Monotone Convergence Theorem. 6. The Lebesgue Theorem _t-- Dominated Convergence Theorem. 7. The Space L[superscript +] _t-- Ch. III. Lebesgue Measure. 1. Measurable Functions. 2. Lebesgue Measure. 3. [sigma]-Algebras and Borel Sets. 4. Nonmeasurable Sets. 5. Structure of Measurable Sets. 6. More About Measurable Functions. 7. Egoroff's Theorem. 8. Steinhaus' Theorem. 9. The Cauchy Functional Equation.
650		0	_aLebesgue integral. _995112
830		0	_948350 _aUniversitext.
942			_2lcc _cKT
999			_c3126 _d3126