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

By: Material type: TextPublication details: Oxford : Oxford University Press, 2018Edition: First editionDescription: 381 p. : 24 cmISBN:
  • 9780198817567 (hbk)
Subject(s): DDC classification:
  • 515 23 M1329
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: Mathematics
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Cover image Item type Current library Home library Collection Shelving location Call number Materials specified Vol info URL Copy number Status Notes Date due Barcode Item holds Item hold queue priority Course reserves
Books UE-Central Library 515 M1329 (Browse shelf) Available T13692
Books UE-Central Library 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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