Undergraduate analysis : a working textbook / Asiling McCluskey & Brian McMaster
Material type:
- 9780198817567 (hbk)
- 515 23 M1329
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515 K9637 Mathematical analysis | 515 L7161 Analysis | 515 L8731 Calculus | 515 M1329 Undergraduate analysis : a working textbook | 515 M1329 Undergraduate analysis : a working textbook | 515 M4651 The methods of plane projective geometry : | 515 M8211 Pre-calculus mathematics |
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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