2.53 Means the Reference Is to Be Found in Question 53 of Chapter 2
Cambridge University Press 978-1-107-44453-9 - Numbers and Functions: Steps into Analysis: Third Edition R. P. Burn Index More information Index 2.53 means the reference is to be found in question 53 of chapter 2. 2.53− means that the reference is to be found before that question. 2.53+ means that the reference is to be found after that question. 2.53–58 refers to questions 53 to 58 of chapter 2. 2.53,64 refers to questions 53 and 64 of chapter 2. 2H means that the reference is to be found in the historical note to chapter 2. − Abel 5.91, 5H, 12.40 , 12H binomial theorem 1.5, 5.98, 112–113, 8H, absolute convergence 5.66–67, 77 11H, 12.45, 12H absolute value 2.52–64, 3.33, 54(vii) blancmange function 12.46 − accumulation point (cluster point) 4.48 Bolzano 2H, 4.53, 4H, 5H, 6.70, 6H, 7.12, alternating series test 5.62–63 7H, 12H + + + anti-derivative 10.52 , 54 Bolzano–Weierstrass theorem 4.46 , 53 + arc cosine 10.49–50 bound 3.48 , 3H − − Archimedean order 3.19 , 3.24, 3H, App. 1 lower: for sequence 3.5–7;forset4.53 , + Archimedes 1H, 2H, 3.25, 3H, 5H, 10H 7.8 − arc length 10.43–48 upper: for sequence 3.5–7;forset4.53 , + arc sine 8.44 7.8 arc tangent 1.8, 5.84, 8.45, 11.60–62 bounded sequence 3.5, 13–14, 62, 4.43–47, area 10.1–9 83–84, 5.25 under y = xk 10.3–5 convergent subsequence 3.80, 4.46–47, under y = x2 10.1 83–84 under y = x3 10.2 eventually 3.13, 62 under y = 1/x 10.8–9 monotonic 3.80, 4.33–35 arithmetic mean 2.30–39 Bouquet and Briot 5H Ascoli 4H Bourbaki 6H + associative law 5.1 , App.
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