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Unformatted text preview: The Cauchy–Schwarz Master Class Errata as of May 2008. I plan to up-date this collection periodically, and, of course, these corrections will be incorporated into the second printing. Also, don’t forget to check out the link to the remarkable list compiled by Byron Schmuland. The typos found by Allen Stenger have now been incorporated in the this page-by-page listing. If you find an error (or even a cosmetic goof), please do let me know. Thanks, Mike Steele Errata Page x line 12: Kirin-→ Kiran Page 11: “quadratic formula” should replace “binomial formula” Page 15: In the first line of Exercise 1.11 both v and w should be in bold face. Page 22, line 22: “ n goes to infinity” should be “ t goes to infinity” Page 32, Exercise 2.5: The inequality should have been written as n ( xy ) ( n- 1) / 2 ≤ x n- y n x- y in which case it holds for all n . For the “simplified” form given in the text, one would need x > y or else there would be a reversal of the stated inequality. Page 33: Display (2.28) xyx should be xyz Page 34, two lines below (2.30): “follow” should be “follows”. Page 35, second line of Exercise 2.12: For improved usage remove the word “both.” Page 35, in the line after (2.33): “two the” should be “the two.” Page 36, Figure 2.5: In the last line of the text to the right of the diagram, π should be π/ 2 . Page 47 line -3: ( aα + Dβ ) 2-→ ( aα + Dbβ ) 2 Page 48 line 12: n j =1 a j b j + 2 x n 1 ≤ j<k ≤ n a j b k 2 should be n j =1 a j b j + x n 1 ≤ j<k ≤ n ( a j b k + a k b j ) 2 Page 49 line 10: n j =1 a j b j n j =1 s j t j should be n j =1 a j t j n j =1 b j s j Page 55 line 5: u 1 v 2 should read u 1 v 1 Page 59 line 2: v- t v should read v- t x Pages 71 Line -2 (Exercise 4.12) | x , x y , z- x , y x , z | 2 should read | x , x y , z- x , y x , z | 2 . A similar correction is needed on page 242 in the Solution of Exercise 4.12....
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This note was uploaded on 12/16/2010 for the course MATH 100 taught by Professor Jim during the Spring '10 term at American Jewish University.
- Spring '10