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| Авторизация |
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| Green J.A. — Sequences And Series |
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| Предметный указатель |
Absolute convergence 46
Absolute convergence, value 43
Achilles 26
Binomial series 49
Binomial series, theorem 25
Bounded sequence 15
Cauchy’s convergence principle 72
Comparison Test 34 36
Convergence 27
Convergence, absolute 46
Convergence, interval of 30
Convergence, principle 72 (see also Tests of convergence)
Cosine series 50
Decimal, recurring 28
Differentiation of series 70
Divergence 27
Equations, solution by iteration 20
Estimation of remainder 58
Euler’s constant 42
Exponential senes 48 32 62 72
Finite sequence, series 24
Geometric series 25 28
Gregory’s series 68
Increasing sequence 13
Infinite sequence, series 25
Integral test 41
Interval of convergence 30
Iteration 20
Leibniz’s series 68
Leibniz’s series, test 44
LIMIT 3
Logarithmic senes 49 65
Monotone sequence 15
Multiplication of series 51
Oscillating sequence 9
Partial sum 27
Power series 47
Power series, differentiation 70
Power series, integration 64
Power series, remainder 61
Product senes 51
Ratio Test 38 47
Recurrutg decimal 28
| Remainder of a series 32
Remainder of a series, estimation of 58
Sequences of approximations 2
Sequences, bounded 13
Sequences, constant 7
Sequences, graphical representation of 3
Sequences, increasing 25
Sequences, monotone 15
Sequences, oscillating 9
Sequences, recursively defined 2
Series of absolute values 43
Series, absolutely convergent 46
Series, alternating 44
Series, binomial 49 69 71
Series, conditionally convergent 46
Series, convergent 27
Series, cosine 50
Series, divergent 27
Series, exponential 48 32 62 72
Series, finite 24
Series, geometric 25 28
Series, Gregory’s 68
Series, harmonic 29
Series, infinite 23
Series, Leibniz’s 68
Series, logarithmic 49 63
Series, multiplication of 31
Series, power (see Power senes)
Series, remainder of 32
Series, sine 50
Series, sum of 27
Series, tngonometnc 73
Sine series 50
Tests of convergence, alternating series (see Leibniz's test)
Tests of convergence, comparison (first form) 34
Tests of convergence, comparison (second form) 36
Tests of convergence, Dinchlet’s 73
Tests of convergence, Integral 41
Tests of convergence, Leibniz’s 44
Tests of convergence, ratio (general form) 47
Tests of convergence, ratio (positive terms) 38
Tortoise 26
Trigonometric senes 73
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