Segmentation fault

The following code contains three serious memory bugs, usually ending in a segmentation fault. Find the bugs, solve them and explain them.

// this program is buggy
#include<iostream>
int main(int argc, char** argv) {
  using namespace std;
  double* d = new double;
  for(unsigned int i = 0; i < 3; i++) {
    d[i] = 1.5 + i;
  }
  for(unsigned int i = 2; i >= 0; i--) {
    cout << d[i] << endl;
  }
}