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Undergraduate analysis : a working textbook / Aisling McCluskey (Senior Lecturer in Mathematics, National University of Ireland, Galway), Brian McMaster (Honorary Senior Lecturer, Queen's University Belfast).

By: Contributor(s): Material type: TextTextPublisher: Oxford, United Kingdom : Oxford University Press, 2018Edition: First editionDescription: 381 pages : illustrations ; 24 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 0198817568
  • 9780198817567 (hbk.)
  • 0198817576 (hbk.)
  • 9780198817574 (pbk.)
Subject(s): Additional physical formats: Online version:: No titleDDC classification:
  • 515 23 MCC.U
LOC classification:
  • QA300 .M378 2018
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.
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Holdings
Item type Current library Home library Call number Status Date due Barcode
Book Book Campus Library Kariavattom Processing Center Campus Library Kariavattom 515 MCC.U (Browse shelf(Opens below)) Available UCL30473

Includes bibliographical references (page 377) and index.

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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