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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.

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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

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Page Error Correction

28

14

= P

i,j

(a

i

b

j

− a

j

b

i

)

2

= P

i<j

(a

i

b

j

− a

j

b

i

)

2

70

4

Karl Feuerbach (1800–

1834)

Georg Peuerbach (1423–1461) 239

5,6

by the following . . .

Proposition 6.7

by Proposition 6.7

275

11

== 1 −

z2

= 1 −

z2

286

10

R

+∞

0 t

1−et

dt R

+∞

0

t etx 1−et

dt 286

5

− P

n

k=0

− P

n−1

k=0

286

5 1 xn+1

1 xn

286

5

D

n+1

f (t) D

n

f (t) 286

4

= P

k=0

=: P

n−1

k=0

286

4 rn(x) xn+1

rn(x) xn

286

2

|D

n+1

f (t)| |D

n

f (t)|

287

1

O 

1 xn+1

 O 

1 xn

 287

5

D

k

(t/(e

t

− 1)) = B

k

D

k



t et−1



|t=0

= B

k

287

6

P

n−1 k=1

P

n k=1

294

5

triangles by means different ways in triangles by means

337

14

Karl Feuerbach (1800–

1834)

378

3

Georg Peuerback (1423–1461)

381

11

Catalan ’s identity, 29 Catalan’s – identity, 29 – numbers, 294

385

20

– Catalan, 294

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