Errata for 'Mathematics for High School Teachers' by Usiskin et al. - Prof. David W. Demps, Study Guides, Projects, Research of Mathematics

Download Errata for 'Mathematics for High School Teachers' by Usiskin et al. - Prof. David W. Demps and more Study Guides, Projects, Research Mathematics in PDF only on Docsity! 1 Mathematics for High School Teachers (Usiskin, et al) Corrections: July 2005 Page 10, above the table at the bottom of the page Change the reading head “Group properties” to “Commutative group properties”. Page 10, in the "Associativity" row of the table at bottom of page: Change “p + (q + r) = p + (q + r)” to “p + (q + r) = (p + q) + r”. Page 12, 4th line in section with heading "nth parts and nth roots": Change " ... square root of a as a1/2." to " ... square root of a as a1/2." (That is, italicize the single letter "a" after "square root of". Page 12, table under section with heading "nth parts and nth roots": At the end of the last line in this table, change "a1/n" to "am/n". Page 39, Problem 1, third line Delete "period and". Page 64, Project 6, first equation Replace "e" with "ex". Page 65, Project 8, last line of part a Change "x = r 1 + t " to "x = r 1 − t ". Page 68, line 2 after the Definition: Delete the word “second”. Page 68, line 2 from bottom, 9th word on the line: Change "the" to "a". Page 75, problem 1: The last right parentheses in the equation should be larger, the same size as the first left parentheses after the = sign. Page 121, in "ANSWERS TO QUESTIONS", question 1, line 2: Change "= b" to "= m". Page 210, last line (line 8) of the proof of Theorem 5.5: Change "divisor" to "factor". Page 215, lines 5 and 6 of the proof of Theorem 5.7: Change "divisor" to "factor" in each of the 3 places where it occurs here. 2 Page 237, lines 1, 5, 6, 7, 13, 18, and 19: Change "divisor" to "factor". Page 237, in the formula on line 21 that starts "gcf(4x3 + ...): Replace "– x2 – x" with "– 9x2 – 5x". Page 237, line 2 under the heading “The Euclidean Algorithm” between Theorems 5.19 and 5.20: Change “divisor” to “factor”. Page 237, Theorem 5.20, Step 2: Line 1: Change “q(x)” to “b(x)”. Line 2: Change “divisor” to “factor”. Page 238, line 13 (= line 2 from bottom of the Solution to the Example problem): Change "divisor" to "factor". Page 306, line 4 from bottom. Change “is” to “in”. . Page 359, first column, line 8: There should be more leading before the first line of the reference "Lockwood, E. H. . . . " , the line should not be indented, and the two lines beginning of this reference should be in a larger font size, the same as the size of the font in the line starting "Posamentier…". Page 388, footnote: Change "page 395" to "pages 393-4". Page 530, in the centered equations in the middle of the page starting "V = . . . ": The first and third occurrences of the equals sign "=" should be replaced with the approximately equals sign "≈". Page 596: Delete the index entry “Veronoi diagrams project, 428”. (It is incorrectly spelled and the entry with the correct spelling is already in the index.) ****************************************************************************** Further errata in MFHST (Usiskin, et al) (submitted by David W. Dempsey, Jacksonville State University) p. 41 Definition of algebraic: Should this not read “A number r is algebraic if there is a nonzero polynomial p(x)…” ? (since every number would be a root of the zero polynomial) p. 42 (third line from the bottom) “transcendal” should be “transcendental” p. 53 (last paragraph, end of third line) “Reimann” should be “Riemann”