000			05075cam a2200697Ia 4500
001			ocn761321872
003			OCoLC
005			20171116092953.0
006			m o d
007			cr |||||||||||
008			111117s2011 njua ob 001 0 eng d
020			_a9781118096864 _q(electronic bk.)
020			_a111809686X _q(electronic bk.)
020			_a9781118096840 _q(ePDF)
020			_a1118096843 _q(ePDF)
020			_a9781118096857 _q(ePub)
020			_a1118096851 _q(ePub)
020			_z9780470878903 _q(hardback)
020			_z0470878908 _q(hardback)
024	8		_a9786613281142
029	1		_aAU@ _b000049105225
029	1		_aDEBBG _bBV041758626
029	1		_aDEBSZ _b372704441
029	1		_aDEBSZ _b396995780
029	1		_aDEBSZ _b430992963
029	1		_aNZ1 _b14287074
029	1		_aNZ1 _b15340716
035			_a(OCoLC)761321872 _z(OCoLC)756279464 _z(OCoLC)757394871
037			_a328114 _bMIL
040			_aDG1 _beng _epn _cDG1 _dIUL _dN$T _dCDX _dYDXCP _dE7B _dREDDC _dOCLCQ _dDEBSZ _dOCLCQ _dDEBBG _dEBLCP _dOCLCQ _dOCLCF _dOCLCQ _dCOO _dOCLCQ
049			_aMAIN
050		4	_aQA300 _b.S882 2011eb
072		7	_aMAT _x005000 _2bisacsh
072		7	_aMAT _x034000 _2bisacsh
082	0	4	_a515/.8 _223
100	1		_aStahl, Saul.
245	1	0	_aReal analysis : a historical approach / _cSaul Stahl. _h[electronic resource]
250			_a2nd ed.
260			_aHoboken, NJ : _bWiley, _c©2011.
300			_a1 online resource (xv, 293 pages) : _billustrations.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aPure and applied mathematics
504			_aIncludes bibliographical references and index.
505	0		_aArchimedes and the Parabola -- Fermat, Differentiation, and Integration -- Newton's Calculus (Part 1) -- Newton's Calculus (Part 2) -- Euler -- The Real Numbers -- Sequences and Their Limits -- The Cauchy Property -- The Convergence of Infinite Series -- Series of Functions -- Continuity -- Differentiability -- Uniform Convergence -- The Vindication -- The Riemann Integral -- Appendix A: Excerpts from 'Quadrature of the Parabola' by Archimedes -- Appendix B: On a Method for the Evaluation of Maxima and Minima by Pierre de Fermat -- Appendix C: From a Letter to Henry Oldenburg on the Binomial Series (June 13, 1676) by Isaac Newton -- Appendix D: From a Letter to Henry Oldenburg on the Binomial Series (October 24, 1676) by Isaac Newton -- Appendix E: Excerpts from 'Of Analysis by Equations of an Infinite Number of Terms' by Isaac Newton -- Appendix F: Excerpts from 'Subsiduum Calculi Sinuum' by Leonhard Euler -- Solutions to Selected Exercises.
520			_aA provocative look at the tools and history of real analysis. This new edition of "Real Analysis: A Historical Approach " continues to serve as an interesting read for students of analysis. Combining historical coverage with a superb introductory treatment, this book helps readers easily make the transition from concrete to abstract ideas. The book begins with an exciting sampling of classic and famous problems first posed by some of the greatest mathematicians of all time. Archimedes, Fermat, Newton, and Euler are each summoned in turn, illuminating the utility of infinite, power, and trigonometric series in both pure and applied mathematics. Next, Dr. Stahl develops the basic tools of advanced calculus, which introduce the various aspects of the completeness of the real number system as well as sequential continuity and differentiability and lead to the Intermediate and Mean Value Theorems. The Second Edition features: A chapter on the Riemann integral, including the subject of uniform continuity, Explicit coverage of the epsilon-delta convergence, A discussion of the modern preference for the viewpoint of sequences over that of series, Throughout the book, numerous applications and examples reinforce concepts and demonstrate the validity of historical methods and results, while appended excerpts from original historical works shed light on the concerns of influential mathematicians in addition to the difficulties encountered in their work. Each chapter concludes with exercises ranging in level of complexity, and partial solutions are provided at the end of the book.
588	0		_aPrint version record.
650		0	_aMathematical analysis.
650		0	_aFunctions of real variables.
650		7	_aMATHEMATICS _xCalculus. _2bisacsh
650		7	_aMATHEMATICS _xMathematical Analysis. _2bisacsh
650		7	_aFunctions of real variables. _2fast _0(OCoLC)fst00936120
650		7	_aMathematical analysis. _2fast _0(OCoLC)fst01012068
655		4	_aElectronic resource.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aStahl, Saul. _tReal analysis. _b2nd ed. _dHoboken, N.J. : Wiley, ©2011 _z9780470878903 _w(DLC) 2011010976 _w(OCoLC)712644485
830		0	_aPure and applied mathematics (John Wiley & Sons : Unnumbered)
856	4	0	_uhttp://onlinelibrary.wiley.com/book/10.1002/9781118096864 _zWiley Online Library
942			_2ddc _cBK
999			_c205394 _d205394