LEADER	05565cam a2200649 i 4500
001	on1034724536
003	OCoLC
005	20240329122006.0
006	m o d
007	cr cnu\|\|\|unuuu
008	180507s2018 enk ob 001 0 eng d
040			\|a N$T\|b eng\|e rda\|e pn\|c N$T\|d N$T\|d EBLCP\|d YDX\|d OCLCF\|d OCLCQ\|d UKAHL\|d OCLCQ\|d OCLCO\|d OCLCQ\|d OCLCO\|d OCLCL
066			\|c (S
019			\|a 1035364272
020			\|a 9780192549839\|q (electronic bk.)
020			\|a 0192549839\|q (electronic bk.)
020			\|z 9780198817574\|q (print)
020			\|z 0198817568
020			\|z 9780198817567
020			\|z 0198817576
035			\|a (OCoLC)1034724536\|z (OCoLC)1035364272
050		4	\|a QA300
072		7	\|a MAT\|x 005000\|2 bisacsh
072		7	\|a MAT\|x 034000\|2 bisacsh
082	0	4	\|a 515\|2 23
049			\|a MAIN
100	1		\|a McCluskey, Aisling,\|e author.
245	1	0	\|a Undergraduate analysis :\|b a working textbook /\|c Aisling McCluskey, Brian McMaster.
264		1	\|a Oxford, United Kingdom :\|b Oxford University Press,\|c 2018.
300			\|a 1 online resource
336			\|a text\|b txt\|2 rdacontent
337			\|a computer\|b c\|2 rdamedia
338			\|a online resource\|b cr\|2 rdacarrier
504			\|a Includes bibliographical references and index.
588	0		\|a Online resource; title from PDF title page (Ebsco, viewed May 10, 2018).
505	8		\|6 880-01\|a 2.9 POSTSCRIPT: to infinity2.10 Important note on 'elementary functions'; 3 Interlude: different kinds of numbers; 3.1 Sets; 3.2 Intervals, max and min, sup and inf; 3.3 Denseness; 4 Up and down -- increasing and decreasing sequences; 4.1 Monotonic bounded sequences must converge; 4.2 Induction: infinite returns for finite effort; 4.3 Recursively defined sequences; 4.4 POSTSCRIPT: The epsilontics game -- the 'fifth factor of difficulty'; 5 Sampling a sequence -- subsequences; 5.1 Introduction; 5.2 Subsequences; 5.3 Bolzano-Weierstrass: the overcrowded interval
505	8		\|a 6 Special (or specially awkward) examples6.1 Introduction; 6.2 Important examples of convergence; 7 Endless sums -- a first look at series; 7.1 Introduction; 7.2 Definition and easy results; 7.3 Big series, small series: comparison tests; 7.4 The root test and the ratio test; 8 Continuous functions -- the domain thinks that the graph is unbroken; 8.1 Introduction; 8.2 An informal view of continuity; 8.3 Continuity at a point; 8.4 Continuity on a set; 8.5 Key theorems on continuity; 8.6 Continuity of the inverse; 9 Limit of a function; 9.1 Introduction; 9.2 Limit of a function at a point
505	8		\|a 10 Epsilontics and functions10.1 The epsilontic view of function limits; 10.2 The epsilontic view of continuity; 10.3 One-sided limits; 11 Infinity and function limits; 11.1 Limit of a function as x tends to infinity or minus infinity; 11.2 Functions tending to infinity or minus infinity; 12 Differentiation -- the slope of the graph; 12.1 Introduction; 12.2 The derivative; 12.3 Up and down, maximum and minimum: for differentiable functions; 12.4 Higher derivatives; 12.5 Alternative proof of the chain rule; 13 The Cauchy condition -- sequences whose terms pack tightly together
505	8		\|a 13.1 Cauchy equals convergent14 More about series; 14.1 Absolute convergence; 14.2 The 'robustness' of absolutely convergent series; 14.3 Power series; 15 Uniform continuity -- continuity's global cousin; 15.1 Introduction; 15.2 Uniformly continuous functions; 15.3 The bounded derivative test; 16 Differentiation -- mean value theorems, power series; 16.1 Introduction; 16.2 Cauchy and l'Hôpital; 16.3 Taylor series; 16.4 Differentiating a power series; 17 Riemann integration -- area under a graph; 17.1 Introduction
505	8		\|a 17.2 Riemann integrability -- how closely can rectangles approximate areas under graphs?
520			\|a An innovative self-contained Analysis textbook for undergraduates, that takes advantage of proven successful educational techniques.
650		0	\|a Mathematical analysis.
650		6	\|a Analyse mathématique.
650		7	\|a MATHEMATICS\|x Calculus.\|2 bisacsh
650		7	\|a MATHEMATICS\|x Mathematical Analysis.\|2 bisacsh
650		7	\|a Mathematical analysis\|2 fast
700	1		\|a McMaster, Brian,\|e author.
758			\|i has work:\|a Undergraduate analysis (Text)\|1 https://id.oclc.org/worldcat/entity/E39PCGPm9WhHYv8Mv89wJvf7RC\|4 https://id.oclc.org/worldcat/ontology/hasWork
776	0	8	\|i Print version:\|a McCluskey, Aisling.\|t Undergraduate analysis.\|d Oxford, United Kingdom : Oxford University Press, 2018\|z 0198817568\|z 9780198817567\|w (OCoLC)1013489598
856	4	0	\|u http://ezproxy.ccu.edu/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1803902
880	0		\|6 505-01/(S\|a Cover; Undergraduate Analysis: A Working Textbook; Copyright; Dedication; Preface; Contents; A Note to the Instructor; A Note to the Student Reader; 1 Preliminaries; 1.1 Real numbers; 1.2 The basic rules of inequalities -- a checklist of things you probably know already; 1.3 Modulus; 1.4 Floor; 2 Limit of a sequence -- an idea, a definition, a tool; 2.1 Introduction; 2.2 Sequences, and how to write them; 2.3 Approximation; 2.4 Infinite decimals; 2.5 Approximating an area; 2.6 A small slice of π; 2.7 Testing limits by the definition; 2.8 Combining sequences; the algebra of limits
938			\|a Askews and Holts Library Services\|b ASKH\|n AH37166846
938			\|a ProQuest Ebook Central\|b EBLB\|n EBL5378475
938			\|a EBSCOhost\|b EBSC\|n 1803902
938			\|a YBP Library Services\|b YANK\|n 15343378
949	0	1	\|h 9\|l cceb\|s j\|t 188\|w EBSCO Academic : External
994			\|a 92\|b FCX

Undergraduate analysis: a working textbook(eBook)

Notes

Record Information

MARC Record

Undergraduate analysis: a working textbook
(eBook)