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Unformatted text preview: ErratA for Principles of Fourier Analysis ( October 3 2011) Notes: text from the book is printed using this font (Times Roman) Comments are printed using this font (Univers Condensed) text to be added is underlined and in italics like this text to be deleted has been struck out like this indicates a new addition to the list (And, of course, beware of possible typos in this list of typos.) ERRORS Chapter 2 (Basic Terminology, Notation, and Conventions), page 8, displayed summation in the lower middle of the page : Replace with . sin sin 8 B 5 B 1 1 Chapter 2 (Basic Terminology, Notation, and Conventions), page 11, line 6 : rapid changes during very a brief periods . Chapter 3 (Basic Analysis I: Continuity and Smoothness), page 21, line 18 : by the ... cho sen ... o Chapter 3 (Basic Analysis I: Continuity and Smoothness), page 25, 8th line after Higher Order Smoothness : Replace with . 5&" 5&# Chapter 3 (Basic Analysis I: Continuity and Smoothness), page , line 4 from bottom #' : Sketch the graphs of and ... 0B 0B & s # Chapter 3 (Basic Analysis I: Continuity and Smoothness), page 27, 2nd line in paragraph 3 : Replace & & # " # # " # & & with . Chapter 3 (Basic Analysis I: Continuity and Smoothness), page 28, first line : . As long as If Chapter 3 (Basic Analysis I: Continuity and Smoothness), page 30, line 5 : Replace with . F F k k Chapter 3 (Basic Analysis I: Continuity and Smoothness), page 35, line 12 : Replace with 0 & 0 & 0 & 0 & $ $ $ $ 8 8 8 8 " " 8 8 " " 8 8 Chapter 6 (Elementary Complex Analysis), page 66, displayed equation (6.21) : Replace with . B D ! ! Chapter 7 (Functions of Several Variables), page 88, line 6 in Exercise 7.6 : Then Show that Typos and Blunders page 2 Chapter 8 (Heuristic Derivation of ...), page 99, bottom line : Replace with 1 > 0 > & 0 > 1 > 0 > & 0 > 5 5" 5 5 5 5&" Chapter 10 (... Sine and Cosine Series), page 124, bottom line, and page 125, line 4 : Replace with # &" & " & # &" & " & &" & # # 5 5 # ) 5 5 1 1 1 1 $ 5 $ 5 5 Chapter 10 (... Sine and Cosine Series), page 126, lines 5 and 9 : Replace . "' "' 5 5 1 1 # # # with Chapter 10 (... Sine and Cosine Series), page 128, line 2 and 3 in problem 10.7b : R " ! Chapter 11 (Inner Products, Norms, and Orthogonality), page 131, line 2 : Replace . with + 0 l2 , 1l2 + 0 l1 , 0 l2 Chapter 11 (Inner Products, Norms, and Orthogonality), page 134, text line 2 in 11.4 : is some orthogonal set of functions nonzero Chapter 11 (Inner Products, Norms, and Orthogonality), page 135, line 1 : Let be an orthogonal set of functions nonzero Chapter 11 (Inner Products, Norms, and Orthogonality), page 140, lines 4, 6, 9 and 13 : First, replace every with , then replace every remaining with ....
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 Fall '11
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