Я пытаюсь понять, как работает "указатель на член", но мне не все понятно.

Вот пример класса:

class T
{
public:
    int a;
    int b[10]; 
    void fun(){}
};

Следующий код иллюстрирует проблему и содержит вопросы:

void fun(){};

void main()
{
   T obj;                
   int local;
   int arr[10];
   int arrArr[10][10];

   int *p = &local;   // "standard" pointer
   int T::*p = &T::a; // "pointer to member" + "T::" , that is clear

   void (*pF)() = fun;        //here also everything is clear
   void (T::*pF)() = T::fun;  
   //or
   void (T::*pF)() = &T::fun;  

   int *pA = arr; // ok
   int T::*pA = T::b; // error

   int (T::*pA)[10] = T::b; // error
   int (T::*pA)[10] = &T::b; //works;

//1. Why "&" is needed for "T::b" ? For "standard" pointer an array name is the representation of the 
//   address of the first element of the array. 

//2. Why "&" is not needed for the pointer to member function ? For "standard" pointer a function name 
//   is the representation of the function address, so we can write &funName or just funName when assigning to the pointer. 
//   That's rule works there.

//3. Why the above pointer declaration looks like the following pointer declaration ?: 

   int (*pAA)[10] = arrArr; // Here a pointer is set to the array of arrays not to the array. 
   system("pause");
}