Undergraduate analysis : a working textbook
McCluskey, Aisling,
Undergraduate analysis : a working textbook / Asiling McCluskey & Brian McMaster - First edition. - Oxford : Oxford University Press, 2018 - 381 p. : 24 cm
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.
9780198817567 (hbk)
Mathematical analysis.
MATHEMATICS / Calculus.
MATHEMATICS / Mathematical Analysis.
Mathematical analysis.
515 / M1329
Undergraduate analysis : a working textbook / Asiling McCluskey & Brian McMaster - First edition. - Oxford : Oxford University Press, 2018 - 381 p. : 24 cm
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.
9780198817567 (hbk)
Mathematical analysis.
MATHEMATICS / Calculus.
MATHEMATICS / Mathematical Analysis.
Mathematical analysis.
515 / M1329
