1
Errata of the volume
M. Giaquinta, G. Modica, Mathematical Analysis. Approximation and Dis- crete Processes Birkhauser, Boston, 2004.
Several errors and misprints have find their way in the text. In the next pages you find the errata-corrige for the errors known to the authors up to now.
We will be very grateful to anybody who wants to inform us about further errors or just misprints or wants to express criticism or other comments.
Our e-mail addresses are
giaquinta@sns.it, modica@dma.unifi.it
Pisa and Firenze, September 14, 2005
Mariano Giaquinta
Giuseppe Modica
2
Page Error Correction
28
14= P
i,j
(a
ib
j− a
jb
i)
2= P
i<j
(a
ib
j− a
jb
i)
270
4Karl Feuerbach (1800–
1834)
Georg Peuerbach (1423–1461) 239
5,6by the following . . .
Proposition 6.7
by Proposition 6.7
275
11== 1 −
z2= 1 −
z2286
10R
+∞0 t
1−e−t
dt R
+∞0
t e−tx 1−e−t
dt 286
5− P
nk=0
− P
n−1k=0
286
5 1 xn+11 xn
286
5D
n+1f (t) D
nf (t) 286
4= P
∞k=0
=: P
n−1k=0
286
4 rn(x) xn+1rn(x) xn
286
2|D
n+1f (t)| |D
nf (t)|
287
1O
1 xn+1
O
1 xn
287
5D
k(t/(e
t− 1)) = B
kD
kt et−1
|t=0