# errata - Errata Page 6 Line t11 7(ix right side should be a...

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Page Line 6 t11 (ix) right side should be a · b + a · c . 7 Proof of Theorem 1.2 (i) a > b and b > c means a - b P (ii) a > b and c d means a - b P (iii) a > b and c > 0 means a - b P 10 b15 Theorem 1.6 should be Theorem 1.3 13 b14 If B A , and B is nonempty, 19 t6 for 0 < | x | ≤ 1. 21 t3 2 n 3 +3 n 2 + n +6( n +1) 2 6 21 t4 2( n +1) 3 +3( n +1) 2 + n +1 6 22 b12 m ( m + 1) / 2. 59 t7 0 sin x x for 0 x π t9 - x sin x 0 for - π x 0. 72 b12 | f ( x ) - f ( y ) | < ε for all x, y A such that | x - y | < δ . 105 b7, b9 f ( x ) = x/ (1 + | x | ) , f 0 = 1 / (1 + | x | ) 2 . 161 b4 f should be x * . 165 b1 f ( x n ) + f 0 ( x n )( x * - x n ) + R ( x * , x n ) 178 b1 R b a f = b - a . 179 t15 Let a = x 0 < x 1 < ··· < x n = b t17 subinterval ( x i - 1 , x i ) 181 b3 The explanation for inequality 7.4 is not correct. It should read: For each i J , there is an index j such that [ y i - 1 , y i ] [ x j - 1 , x j ]. 1

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errata - Errata Page 6 Line t11 7(ix right side should be a...

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