000			05070cam a2200769Ma 4500
001			ocn965716755
003			OCoLC
005			20220908100117.0
006			m o d
007			cr |n|||||||||
008			161209s2017 nju ob 001 0 eng d
040			_aIDEBK _beng _epn _cIDEBK _dN$T _dOCLCF _dOCLCQ _dKAG _dOCLCQ _dYDX _dOCLCO _dOCLCQ _dJSTOR _dIEEEE _dOCLCO
019			_a1038287928 _a1083689867
020			_a140088313X _q(electronic bk.)
020			_a9781400883134 _q(electronic bk.)
020			_z0691172935
020			_z0691173877
020			_z9780691173870
020			_z9780691172934
029	1		_aAU@ _b000060819835
029	1		_aAU@ _b000067040401
035			_a(OCoLC)965716755 _z(OCoLC)1038287928 _z(OCoLC)1083689867
037			_a973754 _bMIL
037			_a22573/ctvc61gbt _bJSTOR
037			_a9452493 _bIEEE
050		4	_aQA299.8
072		7	_aMAT _x005000 _2bisacsh
072		7	_aMAT _x034000 _2bisacsh
072		7	_aEDU _x029010 _2bisacsh
082	0	4	_a515/.8 _223
049			_aMAIN
100	1		_aGrinberg, Raffi, _d1990- _964813
245	1	0	_aReal Analysis Lifesaver.
246	1		_iSubtitle from resource: _aAll the tools you need to understand proofs
260			_a[Princeton, New Jersey] : _bPrinceton University Press, _c2017.
300			_a1 online resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aA Princeton lifesaver study guide
588	0		_aPrint version record.
504			_aIncludes bibliographical references and index.
505	0		_aPreliminaries. Introduction ; Basic math and logic ; Set theory -- Real numbers. Least upper bounds ; The real field ; Complex numbers and Euclidean spaces -- Topology. Bijections ; Countability ; Topological definitions ; Closed and open sets ; Compact sets ; The Heine-Borel Theorem ; Perfect and connected sets -- Sequences. Convergence ; Limits and subsequences ; Cauchy and monotonic sequences ; Subsequential limits ; Special sequences ; Series.
520			_aThe essential "lifesaver" that every student of real analysis needs Real analysis is difficult. For most students, in addition to learning new material about real numbers, topology, and sequences, they are also learning to read and write rigorous proofs for the first time. The Real Analysis Lifesaver is an innovative guide that helps students through their first real analysis course while giving them the solid foundation they need for further study in proof-based math. Rather than presenting polished proofs with no explanation of how they were devised, The Real Analysis Lifesaver takes a two-step approach, first showing students how to work backwards to solve the crux of the problem, then showing them how to write it up formally. It takes the time to provide plenty of examples as well as guided "fill in the blanks" exercises to solidify understanding. Newcomers to real analysis can feel like they are drowning in new symbols, concepts, and an entirely new way of thinking about math. Inspired by the popular Calculus Lifesaver , this book is refreshingly straightforward and full of clear explanations, pictures, and humor. It is the lifesaver that every drowning student needs. The essential (3z(Blifesaver(3y (Bcompanion for any course in real analysis Clear, humorous, and easy-to-read style Teaches students not just what the proofs are, but how to do them—in more than 40 worked-out examples Every new definition is accompanied by examples and important clarifications Features more than 20 (3z(Bfill in the blanks(3y (Bexercises to help internalize proof techniques Tried and tested in the classroom.
590			_aIEEE _bIEEE Xplore Princeton University Press eBooks Library
650		0	_aMathematical analysis. _911486
650		0	_aFunctions of real variables. _921094
650		0	_aNumbers, Real. _964814
650		6	_aAnalyse math�ematique. _964020
650		6	_aFonctions de variables r�eelles. _964815
650		6	_aNombres r�eels. _964816
650		7	_aMATHEMATICS _xCalculus. _2bisacsh _916300
650		7	_aMATHEMATICS _xMathematical Analysis. _2bisacsh _916301
650		7	_aEDUCATION / Teaching Methods & Materials / Mathematics _2bisacsh _964817
650		7	_aFunctions of real variables. _2fast _0(OCoLC)fst00936120 _921094
650		7	_aMathematical analysis. _2fast _0(OCoLC)fst01012068 _911486
650		7	_aNumbers, Real. _2fast _0(OCoLC)fst01041248 _964814
655		4	_aElectronic books. _93294
776	0	8	_iPrint version: _aGrinberg, Raffi, 1990- _tReal Analysis Lifesaver. _d[Princeton, New Jersey] : Princeton University Press, 2017 _z9780691173870 _z0691173877 _w(DLC) 2016020708 _w(OCoLC)948560974
830		0	_aPrinceton lifesaver study guide. _964818
856	4	0	_uhttps://ieeexplore.ieee.org/servlet/opac?bknumber=9452493
938			_aEBSCOhost _bEBSC _n1290565
938			_aProQuest MyiLibrary Digital eBook Collection _bIDEB _ncis36884665
938			_aYBP Library Services _bYANK _n13012941
942			_cEBK
994			_a92 _bINTKS
999			_c81353 _d81353