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- Page 13 and 14: (xii) 3.4 The operator D 73 3.5 Bac
- Page 15 and 16: (xiv) 11.2 Gauss-Elimination method
- Page 17 and 18: 2 NUMERICAL ANALYSIS (i) lie betwee
- Page 19 and 20: 4 NUMERICAL ANALYSIS F HG involves
- Page 21 and 22: 6 NUMERICAL ANALYSIS X 1 − + −
- Page 23 and 24: 8 NUMERICAL ANALYSIS Rule 5 If a nu
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- Page 27 and 28: 12 NUMERICAL ANALYSIS E R ∆X ∆x
- Page 29 and 30: 14 NUMERICAL ANALYSIS Example 1.13
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- Page 35 and 36: 20 NUMERICAL ANALYSIS Theorem 2.1 I
- Page 37 and 38: 22 NUMERICAL ANALYSIS 2.3 METHOD OF
- Page 39 and 40: 24 NUMERICAL ANALYSIS In the 4th st
- Page 41 and 42: 26 NUMERICAL ANALYSIS Let x n - 1 a
- Page 43 and 44: 28 NUMERICAL ANALYSIS F ⇒ ⋅H G
- Page 45 and 46: 30 NUMERICAL ANALYSIS Similarly, x
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- Page 51 and 52: 36 NUMERICAL ANALYSIS The second ap
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- Page 55 and 56: 40 NUMERICAL ANALYSIS 2 3 x . x 03
- Page 57 and 58: 42 NUMERICAL ANALYSIS Example 2.16
- Page 59 and 60: 44 NUMERICAL ANALYSIS 1 N 3. From t
- Page 61 and 62: 46 NUMERICAL ANALYSIS Solution Expa
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- Page 76 and 77: FINITE DIFFERENCES 61 ∆ 2 is call
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FINITE DIFFERENCES 67 Example 3.4 B
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FINITE DIFFERENCES 69 F = H G 2 aI
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FINITE DIFFERENCES 71 ⇒ b f x + h
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FINITE DIFFERENCES 73 Using the dis
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FINITE DIFFERENCES 75 In general we
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FINITE DIFFERENCES 77 Note: 1. ∆
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FINITE DIFFERENCES 79 2 3 3 3 Examp
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FINITE DIFFERENCES 81 Example 3.22
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FINITE DIFFERENCES 83 Example 3.24
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FINITE DIFFERENCES 85 Alternative n
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FINITE DIFFERENCES 87 L N M L N M 1
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FINITE DIFFERENCES 89 n n 2n 1 2n
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FINITE DIFFERENCES 91 bg d i 1 1
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FINITE DIFFERENCES 93 ∴ From (5),
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FINITE DIFFERENCES 95 µ (iii) 14.
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INTERPOLATION WITH EQUAL INTERVALS
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INTERPOLATION WITH EQUAL INTERVALS
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INTERPOLATION WITH EQUAL INTERVALS
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INTERPOLATION WITH EQUAL INTERVALS
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INTERPOLATION WITH EQUAL INTERVALS
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INTERPOLATION WITH EQUAL INTERVALS
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INTERPOLATION WITH EQUAL INTERVALS
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INTERPOLATION WITH EQUAL INTERVALS
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INTERPOLATION WITH EQUAL INTERVALS
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INTERPOLATION WITH EQUAL INTERVALS
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INTERPOLATION WITH UNEQUAL INTERVAL
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INTERPOLATION WITH UNEQUAL INTERVAL
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INTERPOLATION WITH UNEQUAL INTERVAL
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INTERPOLATION WITH UNEQUAL INTERVAL
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126 NUMERICAL ANALYSIS 2. Compute f
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128 NUMERICAL ANALYSIS By interchan
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130 NUMERICAL ANALYSIS bg b gb g b
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INTERPOLATION WITH UNEQUAL INTERVAL
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CENTRAL DIFFERENCE INTERPOLATION FO
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CENTRAL DIFFERENCE INTERPOLATION FO
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CENTRAL DIFFERENCE INTERPOLATION FO
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CENTRAL DIFFERENCE INTERPOLATION FO
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CENTRAL DIFFERENCE INTERPOLATION FO
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CENTRAL DIFFERENCE INTERPOLATION FO
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CENTRAL DIFFERENCE INTERPOLATION FO
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CENTRAL DIFFERENCE INTERPOLATION FO
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7 INVERSE INTERPOLATION 7.1 INTRODU
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INVERSE INTERPOLATION 153 where a 1
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INVERSE INTERPOLATION 155 ∴ Using
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INVERSE INTERPOLATION 157 Expressio
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INVERSE INTERPOLATION 159 (d) Stirl
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INVERSE INTERPOLATION 161 We have
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INVERSE INTERPOLATION 163 x 0.45 0.
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NUMERICAL DIFFERENTIATION 165 du dx
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NUMERICAL DIFFERENTIATION 167 Now u
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NUMERICAL DIFFERENTIATION 169 Examp
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NUMERICAL DIFFERENTIATION 171 Examp
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NUMERICAL DIFFERENTIATION 173 0.012
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NUMERICAL DIFFERENTIATION 175 3. Fi
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NUMERICAL DIFFERENTIATION 177 20. D
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NUMERICAL INTEGRATION 179 9.2 GENER
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NUMERICAL INTEGRATION 181 h h h h =
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NUMERICAL INTEGRATION 183 z bg L F
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NUMERICAL INTEGRATION 185 b g b ...
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NUMERICAL INTEGRATION 187 Using Tra
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NUMERICAL INTEGRATION 189 x 1.50 1.
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NUMERICAL INTEGRATION 191 π/ z2 2
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NUMERICAL INTEGRATION 193 6. Evalua
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NUMERICAL INTEGRATION 195 z 3 1 ux
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NUMERICAL INTEGRATION 197 Note: Rep
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NUMERICAL INTEGRATION 199 I z bg b
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NUMERICAL INTEGRATION 201 z bg x +
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NUMERICAL INTEGRATION 203 A 1 A 2 A
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NUMERICAL INTEGRATION 205 Exercise
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NUMERICAL INTEGRATION 207 Example 9
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NUMERICAL INTEGRATION 209 Putting x
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NUMERICAL INTEGRATION 211 z z1 2 2
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NUMERICAL SOLUTION OF ORDINARY DIFF
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NUMERICAL SOLUTION OF ORDINARY DIFF
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NUMERICAL SOLUTION OF ORDINARY DIFF
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NUMERICAL SOLUTION OF ORDINARY DIFF
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NUMERICAL SOLUTION OF ORDINARY DIFF
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NUMERICAL SOLUTION OF ORDINARY DIFF
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NUMERICAL SOLUTION OF ORDINARY DIFF
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NUMERICAL SOLUTION OF ORDINARY DIFF
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NUMERICAL SOLUTION OF ORDINARY DIFF
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NUMERICAL SOLUTION OF ORDINARY DIFF
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NUMERICAL SOLUTION OF ORDINARY DIFF
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NUMERICAL SOLUTION OF ORDINARY DIFF
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NUMERICAL SOLUTION OF ORDINARY DIFF
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NUMERICAL SOLUTION OF ORDINARY DIFF
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NUMERICAL SOLUTION OF ORDINARY DIFF
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NUMERICAL SOLUTION OF ORDINARY DIFF
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NUMERICAL SOLUTION OF ORDINARY DIFF
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NUMERICAL SOLUTION OF ORDINARY DIFF
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SOLUTION OF LINEAR EQUATIONS 249 th
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SOLUTION OF LINEAR EQUATIONS 251 Th
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SOLUTION OF LINEAR EQUATIONS 253 11
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SOLUTION OF LINEAR EQUATIONS 255 pu
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SOLUTION OF LINEAR EQUATIONS 257 Ex
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SOLUTION OF LINEAR EQUATIONS 259 an
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SOLUTION OF LINEAR EQUATIONS 261 Fi
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SOLUTION OF LINEAR EQUATIONS 263
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SOLUTION OF LINEAR EQUATIONS 265 2x
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SOLUTION OF LINEAR EQUATIONS 267 2.
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CURVE FITTING 269 y Pr (x r , yr) e
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CURVE FITTING 271 a = n n n 2 ∑ r
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CURVE FITTING 273 The normal equati
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CURVE FITTING 275 solving these nor
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CURVE FITTING 277 Solving (4) and (
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CURVE FITTING 279 2. Fit a straight
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CURVE FITTING 281 18. Using the met
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EIGEN VALUES AND EIGEN VECTORS OF A
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EIGEN VALUES AND EIGEN VECTORS OF A
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EIGEN VALUES AND EIGEN VECTORS OF A
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EIGEN VALUES AND EIGEN VECTORS OF A
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EIGEN VALUES AND EIGEN VECTORS OF A
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EIGEN VALUES AND EIGEN VECTORS OF A
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EIGEN VALUES AND EIGEN VECTORS OF A
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EIGEN VALUES AND EIGEN VECTORS OF A
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EIGEN VALUES AND EIGEN VECTORS OF A
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REGRESSION ANALYSIS 301 If the poin
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REGRESSION ANALYSIS 303 Definition:
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REGRESSION ANALYSIS 305 x - x = b x
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REGRESSION ANALYSIS 307 Note: If r
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REGRESSION ANALYSIS 309 Solution. W
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REGRESSION ANALYSIS 311 ⇒ y = 67
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REGRESSION ANALYSIS 313 Example 14.
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REGRESSION ANALYSIS 315 is one of f
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REGRESSION ANALYSIS 317 form the li
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REGRESSION ANALYSIS 319 15. From th
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INDEX 321 INDEX Absolute error 4 Ad