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Undergraduate analysis : a working textbook / Asiling McCluskey & Brian McMaster

By: McCluskey, Aisling.
Material type: materialTypeLabelBookPublisher: Oxford : Oxford University Press, 2018Edition: First edition.Description: 381 p. : 24 cm.ISBN: 9780198817567 (hbk).Subject(s): Mathematical analysis | MATHEMATICS / Calculus | MATHEMATICS / Mathematical Analysis | Mathematical analysisDDC classification: 515
Contents:
Preliminaries -- 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.
List(s) this item appears in: New arrivals | New Arrival Fy 2021-22 | Mathematics_Fy2021-22
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515 M1329 (Browse shelf) Available T13691

Preliminaries -- 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.

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