\font\tenbxsl=cmbxsl10
\font\sc=cmcsc10 %use lower case as (Monthly)
\def\leftset{\{\,}
\def\rightset{\,\}}
\centerline{\bf Errata for \tenbxsl Mathematical Writing\bf, second printing}
\centerline{\sl (last updated 01 January 2025)}
\centerline{\sl (the first printing contained several errors that were
   corrected in the second)}

\font\manfnt=manfnt
\def\becomes{\ifmmode\ \hbox\fi{\manfnt y}\ } % wiggly arrow indicates a change
\def\bugonpage #1, #2:
  {\medbreak\noindent{\bf Page #1, }#2\par\nobreak\smallskip\noindent}

\medbreak\noindent[On the copyright page about the MAA Notes series,
delete the bottom line that says ``A version of these notes\dots''.]

\bugonpage 3, line 4 of rule 15:
subset will have to \becomes subset will have to be

\bugonpage 4, the last line of rule 22:
when it should be \becomes when the proper word is

\bugonpage 4, use better spacing on line 4 from the bottom:
\line{\hfil
$A_n = \leftset(a_1,\ldots,a_n) \in N^n \mid a_1 \ge\cdots \ge a_n\rightset\,. 
$\hfil(1)}

\bugonpage 5, replacement for lines $-3$ and $-2$:
$$\exists{n0 \in N0} \;\ni\; \forall{p\in P}\; p
	  n0 \Rightarrow f(p)=0$$
\null\kern70pt
then there exists a bijection $N1  
	\hbox{\bf L}^{\scriptscriptstyle +}(P,N0)$ 
	such that if	$n\mapsto f$ then

\bugonpage 7, line $-8$:
(correct the spacing, as on page 4)

\bugonpage 7, use better space on line 6 from the bottom:
\line{\hfil
$L(C,P) = \leftset c+p_1+ \cdots +p_m \mid c \in C, \, m\ge0,\,\, 
	\hbox{and}\,\, p_j \in P \,\, \hbox{for}\,\, 1\le j\le m\rightset
$\hfil(2)}

\bugonpage 8, line 18:
$k(b_i-b_j)$ \becomes $k(b_j-b_i)$

\bugonpage 9, line 9:
alternate spellings \becomes alternative spellings

\bugonpage 9, line 13:
some of solutions \becomes some of the solutions

\bugonpage 10, line 14:
should omitted \becomes should be omitted

\bugonpage 11, line 21:
sentence; No \becomes sentence. No

\bugonpage 12, line 11 from the bottom:
$(c_i-c_j+1)$ remans as a unit \becomes $c_i-c_j+1$ remains as a unit

\bugonpage 14, line 19:
at the authors request \becomes at the authors' request

\bugonpage 15, line 12:
close them''.\ \becomes close them.''

\bugonpage 15, line 5 from the bottom:
that had been \becomes that it had been

\bugonpage 15, line 4 from the bottom:
Concrete Math draft \becomes Concrete Maths draft

\bugonpage 17, lines 3 and 4:
, \dots \becomes , \dots$\,$.

\bugonpage 17, line 7 from the bottom:
$(r/2-k)$'.\ \becomes $(r/2-k)$'.)

\bugonpage 20, line 5 from the bottom:
letters in variable \becomes letters in variable-

\bugonpage 21, line 3:
fixed width type \becomes fixed-width type

\bugonpage 24, line 11:
idea idea \becomes idea

\bugonpage 26, line 3:
piece of code \becomes piece of software

\bugonpage 26, line 14 from the bottom:
good and gave a nice intuition of \becomes good, and said that it gave a
nice intuition about

\bugonpage 26, line 7 from the bottom:
phases can replicate \becomes places can replicate

\bugonpage 26, line 2 from the bottom:
sistences \becomes sistencies

\bugonpage 27, line 2 from the bottom:
had called a certain variable called `{\it scan\/}' \becomes
had given a certain variable the name `{\it scan\/}'

\bugonpage 29, line 1:
enter `{\tt Type of message (1-6)}:' \becomes
enter data by the words `{\tt Type of message (1-6)}:'.

\bugonpage 31, line 8:
now famous \becomes now-famous

\bugonpage 31, line 11:
journal'', \becomes journal,''

\bugonpage 31, line 17:
accepted'' replied \becomes accepted,'' replied

\bugonpage 31, line 4 from the bottom:
the 1960's \becomes 1960s

\bugonpage 33, line 6 from the bottom:
(and most damning indictment) \becomes (the most damning indictment)

\bugonpage 34, line 12:
some few journals \becomes a few journals

\bugonpage 34, line 13:
can strongly effect \becomes can strongly affect

\bugonpage 35, line 9:
refereees \becomes referees

\bugonpage 37, line 8:
It an extremely \becomes It is an extremely

\bugonpage 37, line 16:
Algorithmic translation \becomes Algebraic translation

\bugonpage 38, line 13:
Grimm's \becomes Grimms'

\bugonpage 38, line 16:
{\sl Grimm's\/} \becomes {\sl Grimms'}

\bugonpage 38, line 4 from the bottom:
line-width \becomes line width

\bugonpage 39, line 1:
{\sl Quantatative \becomes Quantitative}

\bugonpage 39, line 7 from the bottom:
asynchonous \becomes asynchronous

\bugonpage 42, line 9 from the bottom:
From 1900--1960 \becomes From 1900 to 1960

\bugonpage 46, bottom line:
must be spec$(\alpha)$ \becomes must be in spec$(\alpha)$

\bugonpage 47, replacement for lines 2--10:
{{\narrower
      {\sc Quotation} \dots\ A writer expresses himself in %quoting 
      words that have been used before because they give his 
      meaning better than he can give it himself, or because 
      they are beautiful or witty, or because he expects them
      to touch a chord of association in his reader, or 
      because he wishes to show that he is learned or well read.
      Quotations due to the last motive are invariably ill advised;
      the discerning reader detects it \& is contemptuous; the
      undiscerning is perhaps impressed, but even then is at the
      same time repelled, pretentious quotations being the surest
      road to tedium.
\smallskip}}
\line{\hfill --- Fowler, {\sl A Dictionary of Modern English Usage}.}

\bugonpage 47, line 11:
malheur a` \becomes malheur \`a

\bugonpage 47, line 11:
instruire! \becomes instruire$\,$!

\bugonpage 47, line 15:
agir: Il est l'aime \becomes agir~: il est l'\^ame

\bugonpage 48, line 9 from the bottom:
{\sl Grimm's\/} \becomes {\sl Grimms'}

\bugonpage 49, line 15 from the bottom:
a little about the the book \becomes a little about the book

\bugonpage 49, line 14 from the bottom:
{\sl Concrete Math} \becomes {\sl Concrete Mathematics}

\bugonpage 49, line 8 from the bottom:
and Holidays \becomes and holidays

\bugonpage 50, line 23:
back from Mr.\ \ Flanagan \becomes back from Mr.~Flanagan

\bugonpage 51, line 6 from the bottom:
{\it hoard\/} \becomes {\it horde\/}

\bugonpage 52, line 24:
Academie \becomes Acad\'emie

\bugonpage 52, line 27:
co\"operative \becomes cooperative

\bugonpage 52, line 31:
the game just \becomes the game was just

\bugonpage 53, line 9:
Fine, said, Don \becomes Fine, said Don

\bugonpage 54, line 6:
punchline \becomes punch line

\bugonpage 55, line 2:
(June 1987) is \becomes (June 1987), is

\bugonpage 55, lines 13 and following:
[These lines needn't be indented.]

\bugonpage 59, line 11:
research Journal \becomes research journal

\bugonpage 59, line 16 from the bottom:
by by \becomes by

\bugonpage 60, line 2:
bleachers.'$\,$'' \becomes bleachers.'$\,$'')

\bugonpage 60, line 5:
{\sl of Analysis\/} \becomes {\sl in Analysis}

\bugonpage 60, line 11:
{\sl Introduction to The Theory\/} \becomes {\sl An Introduction to the Theory}

\bugonpage 60, line 15:
{\sl Mathematical\/} \becomes {\sl Principles of Mathematical}

\bugonpage 64, line 7:
to get thee \becomes to get the

\bugonpage 68, line 4:
to starts \becomes to start

\bugonpage 71, line 4:
Ginsburg \becomes Ginsberg

\bugonpage 72, at the bottom:
[See Lamport's article ``How to write a proof,''
{\sl American Mathematical Monthly\/ \bf102} (1995), 600--608.]

\bugonpage 73, line 17 from the bottom:
word-processor \becomes wordprocessor

\bugonpage 73, line 16 from the bottom:
pin-pointing \becomes pinpointing

\bugonpage 73, line 9 from the bottom:
organised---and got an A--  \becomes organised; and he got an A$^-$

\bugonpage 75, line 7 from the bottom:
asked what was for \becomes asked what it was for

\bugonpage 76, line 7:
page vii \becomes page vi

\bugonpage 77, line 2 from the bottom:
Greek boys: Taking \becomes Greek boys: taking

\bugonpage 78, line 15 from the bottom:
to the word count \becomes and the word count

\bugonpage 78, line 10 from the bottom:
better not be the your \becomes better not be your

\bugonpage 78, line 7 from the bottom:
the the \becomes the

\bugonpage 79, line 18 from the bottom:
glue: Words \becomes glue: words

\bugonpage 80, line 3:
aware how \becomes aware of how

\bugonpage 80, line 5:
fountain pen.''\ \becomes fountain pen.'')

\bugonpage 84, line 12:
relator \becomes realtor

\bugonpage 90, line 5 from the bottom:
Seirpi\'nski \becomes Sierpi\'nski

\bugonpage 90, line 2 from the bottom:
write up \becomes write-up

\bugonpage 91, line 15 from the bottom:
readership''.\ \becomes readership.''

\bugonpage 92, line 20:
{\sl Chigaco Manual \becomes Chicago Manual}

\bugonpage 98, line 21:
to endeavor an improvement \becomes to endeavor at improvement

\bugonpage 99, line 15:
across the \becomes Across the

\bugonpage 99, line 25:
the repetitions \becomes The repetitions

\bugonpage 100, line 8:
To break the monotony he \becomes To break the monotony he

\bugonpage 100, line 12:
blacked everything \becomes blacked out everything

\bugonpage 100, line 22:
they were too). \becomes they were, too.)

\bugonpage 101, line 4:
{\sl Grimm's\/} \becomes {\sl Grimms'}

\bugonpage 102, line 1:
{\sl Grimm's\/} \becomes {\sl Grimms'}

\bugonpage 105, line 2:
vertices''.\ \becomes vertices.''

\bugonpage 105, line 17:
quality''.\ \becomes quality.''

\bugonpage 108, line 10 from the bottom:
balderdash''.\ \becomes balderdash.''

\bugonpage 109, line 21:
so fas as \becomes so far as

\bugonpage 109, line 12 from the bottom:
an examples \becomes an example

\bugonpage 110, line 7:
``the reader and~I'' \becomes `the reader and~I'

\bugonpage 111, line 17:
this thing?'') was \becomes this thing?'')\ was

\bugonpage 111, bottom line:
said \becomes said Paul.

\bugonpage 114, line 5:
the the people \becomes the people

\bugonpage 114, line 8:
`h\"offentlich' \becomes `hoffentlich'

\bugonpage 114, line 4 from the bottom:
leaving out a that \becomes leaving out a `that'

\bugonpage 114, bottom line:
repeat it twice \becomes repeat it again

\bugonpage 115, line 21:
before a which \becomes before a `which'

\bugonpage 116, new material for the end:
\parindent=0pt \parskip=3pt
\def\narrower{\leftskip=20pt \rightskip=\leftskip}%
Postscript about ``God is in the details'' (see page 48):
William Safire's column on Language in the {\sl New York Times\/} and the
{\sl International Herald Tribune}, July 31, 1989, discusses this mysterious
phrase as well as its counterpart, ``The Devil is in the details.'' Nobody
has been able to trace either one to a definite source. Safire cites
Shapiro who claims to cite Nietzsche---but without chapter and verse.
Safire also says that Justin Kaplan, editor of {\sl Bartlett's Familiar
Quotations}, is searching too. According to Kaplan, ``Flaubert has been
suggested, but nobody can find it in his writings.''

Perhaps the following facts will be helpful. A biography of Mies by Franz
Schulze (Chicago, 1985) has a relevant footnote on page 281:

{\narrower\smallskip\noindent
The aphorism, ``God is in the details,'' has been endlessly attributed to
Mies, though I have found no one who ever heard him say it. In {\sl
Meaning in the Visual Arts\/} (New York, 1955, p.~5), Erwin Panofsky
quotes Flaubert: ``Le bon Dieu est dans le d\'etail.''
\smallskip}
\noindent Actually Schulze should have referred not to page `5', but to
page~`v'---where Panofsky drops Flaubert's name but gives no hint of location.

David Spaeth, another Mies biographer, answered a query from Don as follows
on December 6, 1985:

{\narrower\smallskip\noindent
The statement ``God is in the details'' was made by Mies. It [only]
appeared in print in an article by Peter Blake entitled ``The difficult
art of simplicity'' which was published in {\sl Architecture Forum\/}
vol.~108, May 1958, pages 126--131. However, it was a statement Mies made
in class many times. George Danforth, one of Mies' very first students,
remembers Mies saying it in the early 1940s.
\smallskip}

Paul Roberts (PMR) wrote to Nigel Rees, who produces a BBC radio show based
on quotation identification, asking for his opinion. Rees found the phrase
mentioned in the {\sl New York Herald Tribune\/} obituary of Mies, 1969,
and said that Mies ``certainly popularized it even if he didn't originate it.''

PMR also turned up a significant clue that might in fact be the true origin
of the saying. At least it carries things back further than anyone else has
been able to do so far: On pages 13, 14, 229, and 286 of E.~H. Gombrich's
1970 biography of Aby Warburg, a prominent historian of Renaissance art,
Gombrich states that Warburg used the phrase ``Der liebe Gott steckt im
Detail'' as the motto of a seminar series at Hamburg University in the
fall of 1925; he also says that Warburg often repeated this motto.

Thus, Mies probably learned the phrase in Germany. But was it original
with Warburg?  We can't rule out Flaubert and Nietzsche until their
complete works have been made available in electronic form.

{\narrower\smallskip\noindent
Particulars, as every one knows, make for virtue and happiness; generalities
are intellectually \hbox{necessary} evils.\par}
\rightline{--- Aldous Huxley, {\sl Brave New World}.}


\bye
