000			02826cam a2200469Mi 4500
001			ocn894169680
003			OCoLC
005			20240726104720.0
008			141101s2015 flu o 000 0 eng d
040			_aEBLCP _beng _epn _erda _cEBLCP _dNT _dCUS _dDEBSZ _dCRCPR _dOCLCO _dOCLCQ _dOCLCO _dNT
020			_a9781498702669 _q((electronic)l(electronic)ctronic)
029	1		_aDEBSZ _b42003515X
050	0	4	_aQA303 _b.A535 2015
049			_aNTA
100	1		_aHrbacek, Karel, _d1944- _e1
245	1	0	_aAnalysis with Ultrasmall NumbersKarel Hrbacek, Olivier Lessmann, Richard O'Donovan.
260			_aBoca Raton : _bCRC Press, Taylor and Francis Group, _c(c)2015.
300			_a1 online resource (320 pages).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_adata file _2rda
490	1		_aTextbooks in Mathematics
500			_a"A Chapman & Hall book."
504			_a2
505	0	0	_aFront Cover; Contents; Preface; Preface for Students; Acknowledgments; Authors; Part I: Elementary Analysis; Chapter 1: Basic Concepts; Chapter 2: Continuity and Limits; Chapter 3: Differentiability; Chapter 4: Integration of Continuous Functions; Part II: Higher Analysis; Chapter 5: Basic Concepts Revisited; Chapter 6: L'Hôpital's Rule and Higher Order Derivatives; Chapter 7: Sequences and Series; Chapter 8: First Order Differential Equations; Chapter 9: Integration; Chapter 10: Topology of Real Numbers; Answers to Exercises; Appendix: Foundations and Relative Set Theory; Bibliography.
500			_aBack Cover.
520	0		_aAnalysis with Ultrasmall Numbers presents an intuitive treatment of mathematics using ultrasmall numbers. With this modern approach to infinitesimals, proofs become simpler and more focused on the combinatorial heart of arguments, unlike traditional treatments that use epsilon-delta methods. Students can fully prove fundamental results, such as the Extreme Value Theorem, from the axioms immediately, without needing to master notions of supremum or compactness. The book is suitable for a calculus course at the undergraduate or high school level or for self-study with an emphasis on nonstandard.
530			_a2 _ub
650		0	_aCalculus.
650		0	_aCalculus _xHistory.
650		4	_aCalculus _xHistory.
650		4	_aCalculus.
655		1	_aElectronic Books.
700	1		_aLessmann, Olivier.
700	1		_aO'Donovan, Richard _d1953-
700	1		_q(Richard John),
856	4	0	_zClick to access digital title | log in using your CIU ID number and my.ciu.edu password. _uhttpss://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=881675&site=eds-live&custid=s3260518
942			_cOB _D _eEB _hQA. _m2015 _QOL _R _x _8NFIC _2LOC
994			_a02 _bNT
999			_c75892 _d75892
902			_a1 _bCynthia Snell _c1 _dCynthia Snell