How to understanding pointers in functions - c

Question

I have two files, main.c and main2.c. My experience tells me that they should do exactly the same, but they do not.
main.c declares a global variable outside the main routine. Then, inside the main routine, a pointer is declared and defined to point to that global variable. The global variable is changed, and the value of the local variable is printed to screen.
main2.c does the same, but convolutes local-to-global definition and change of global variable value into another function, change_number.
I cannot understand why this approach fails. main.c and main2.c are the boiled down results from a few hours of bugs fixing, documentation and tutorial reading and, obviously, reading here on SO.
My understanding of pointers is what I would call rudimentary: It points to a memory location. In case of a regular variable, the pointer would point to the memory location of that variable. Several pointers can point to the same memory location, but one pointer cannot point to several locations.
There's no such thing as pass-by-reference in C, but, as far as I know, this is not pass by reference since all variable and pointers are defined outside the function. Please enlighten me.
//File: main.c
#include <stdio.h>
#include <stdlib.h>
int global_number;
int main() {
int *local_number;
local_number = &global_number;
global_number = 9;
printf("local_number = %d\n", *local_number);
return 0;
}
Output: "local_number = 9". This is the expected result.
//File: main2.c
#include <stdio.h>
#include <stdlib.h>
int global_number;
void change_number(int *number) {
number = &global_number;
global_number = 9;
}
int main() {
int *local_number;
change_number(local_number);
printf("local_number = %d\n", *local_number);
return 0;
}
Output: "Segmentation fault". This is obviously not intended. The code runs fine right up until printf().

Answer 1

you never initialize local_number in the second program. It does not point anywhere, and will crash when accessed. Try
int *local_number = &global_number;
then the value should change
To have change_number also initialize local_number, pass the address of local_number and change the pointed-to pointer:
void change_number( int **number ) {
*number = &global_number;
global_number = 9;
}
...
int *local_number;
change_number(&local_number);