000			01470cam a22002417i 4500
999			_c20168 _d20168
001			20172074
005			20220902082851.0
008			171207s2018 enka 001 0 eng d
020			_a9780198817567 (hbk)
040			_cUE-CL
082	0	4	_a515 _223 _bM1329
100	1		_aMcCluskey, Aisling,
245	1	0	_aUndergraduate analysis : a working textbook _c / Asiling McCluskey & Brian McMaster
250			_aFirst edition.
260			_aOxford : _bOxford University Press, _c2018
300			_a381 p. : _c24 cm
650		0	_aMathematical analysis.
650		7	_aMATHEMATICS / Calculus.
650		7	_aMATHEMATICS / Mathematical Analysis.
650		7	_aMathematical analysis.
942			_cBK
505	0		_aPreliminaries -- Limit of a sequence - an idea, a definition, a tool -- Interlude: different kinds of numbers -- Up and down - increasing and decreasing sequences -- Special (or specially awkward) examples -- Endless sums - a first look at series -- Continuous functions - the domain thinks that the graph is unbroken -- Limit of a function -- Epsilontics and functions -- Infinity and function limits -- Differentiation - the slope of a graph -- The Cauchy condition - sequences whose terms pack tightly together -- More about series -- Uniform continuity - continuity's global cousin -- Differentiation - mean value theorems, power series -- Riemann integration - area under a graph -- The elementary functions revisited -- Exercises: for additional practice.