000			02836cam a22004337i 4500
999			_c86562 _d86562
001			ml2023163246
003			PUMLC
005			20240602104128.0
006			a||||fr|||| 00| 0
007			ta
008			931126s1994 nyua b 001 0 eng
010			_a 93046020
020			_a9781461264330 _q(paperback)
020			_a0387942173 _q (New York : acidfree paper)
020			_a3540942173 _q(Berlin : acidfree paper)
035			_a(DLC)3944420
040			_aDLC _beng _erda _cDLC _dDLC _dPUMLC
043			_anyu
050	0	0	_aQA300 _b.B457 1994
082	0	0	_a515.8 _220
100	1		_aBerberian, Sterling K., _d1926- _913279
245	1	2	_aA first course in real analysis / _cSterling K. Berberian.
264			_aNew York : _bSpringer-Verlag, _cc1994.
300			_axi, 237 pages : _billustrations ; _c25 cm.
336			_2rdacontent _atext _btxt
337			_2rdamedia _aunmediated _bn
338			_2rdacarrier _avolume _bnc
440		0	_aUndergraduate texts in mathematics _913266
501			_a"With 19 illustrations"
504			_aIncludes bibliographical references and indexes.
505			_aContent: Ch. 1. Axioms for the Field R of Real Numbers Ch. 2. First Properties of R Ch. 3. Sequences of Real Numbers, Convergence Ch. 4. Special Subsets of R Ch. 5. Continuity Ch. 6. Continuous Functions on an Interval Ch. 7. Limits of Functions Ch. 8. Derivatives Ch. 9. Riemann Integral Ch. 10. Infinite Series Ch. 11. Beyond the Riemann Integral.
520			_aSummary: "This book was written to support a first course in real analysis, normally taken after a year of elementary calculus. Real analysis is, roughly speaking, the modern setting for Calculus, "real" alluding to the field of real numbers that underlies it all. At center stage are functions, defined and taking values in sets of real numbers or in sets (the plane, 3-space, etc.) readily derived from the real numbers; a first course in real analysis traditionally places the emphasis on real-valued functions defined on sets of real numbers. The agenda for the course: (1) start with the axioms for the field ofreal numbers, (2) build, in one semester and with appropriate rigor, the foun­ dations of calculus (including the "Fundamental Theorem"), and, along the way, (3) develop those skills and attitudes that enable us to continue learning mathematics on our own. Three decades of experience with the exercise have not diminished my astonishment that it can be done". - Author
650		0	_aMathematical analysis. _9455
650		0	_aNumbers, Real. _913280
856	4	2	_3Publisher description _uhttp://www.loc.gov/catdir/enhancements/fy0815/93046020-d.html
856	4	1	_3Table of contents only _uhttp://www.loc.gov/catdir/enhancements/fy0815/93046020-t.html
906			_a7 _bcbc _corignew _d1 _eocip _f19 _gy-gencatlg
942			_2ddc _c2HRSR _kSR _mB484 _n0