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Math 413, Fall semester, 2007
Bigtimes Homework set 3, handed out September 6 due September 13
Read through Section 4.1 of Chapter 4.
Problem 1. Prove that the only map
f
:
R
→
R
satisfying such that
f
(1) = 1 and for all
x, y
∈
R
f
(
x
+
y
)=
f
(
x
)+
f
(
y
)
,f
(
xy
f
(
x
)
f
(
y
)
is the identity.
Is the same true for the complex numbers
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This homework help was uploaded on 02/23/2008 for the course MATH 4130 taught by Professor Hubbard during the Fall '07 term at Cornell.
 Fall '07
 HUBBARD
 Math

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