MA2321—Michaelmas Term 2015
Errata in distributed printed notes
p.27, line 2
L.H.S. of displayed equation should read
h(t2 ) − h(t1 )
p 30
last
√ line of√second
√ example√- change
s + h − s to s + h + s
in denominator.
p.47
the definition of interval in
the first sentence of subsection 4.11 has
been corrected, replacing
(s, t) ∈ I by (s, t) ⊂ I,
replacing X by R.
In the following sentence, t has been
replaced by x.
p.47, Lemma 4.20
replace p(s + th) by p(t)
p.47, 1 line from bottom replace p(n) by p(n) (0);
hn f (n) (s)
f (n) (s)
by
p.47, bottom line
replace
n!
n!
p.54, line 3
leading term of pn (x)
should be (−1)k−1 k!xk−1
p.64, bottom
Insert closing parenthesis after
f (xi−1 ) to balance the opening
parenthesis in the summation
p.86,
swap “odd” and “even”, as in revised version
p.87, 6.20
line 11 of proof of Theorem 6.20
change m − 1 to n − 1.
p.105, bottom
correct expression for
derivative of ub,c .
p.106
function f in statement of Proposition 7.10 is
not required to be continuous.
p.106
change δ to δ0 .
p. 115-121
the text of subsection 7.7 has been edited
to eliminate references to “C 2 ” functions.
Updated April 24, 2015.
1