C# DataGridView Binding - SQL Server dataset

The following C# program shows bind a SQL Server dataset to a DataGridView.

 private void button1_Click(object sender, EventArgs e)
        {
            string connectionString = "Data Source=.;Initial Catalog=pubs;Integrated Security=True";
            string sql = "SELECT * FROM Authors";
            SqlConnection connection = new SqlConnection(connectionString);
            SqlDataAdapter dataadapter = new SqlDataAdapter(sql, connection);
            DataSet ds = new DataSet();
            connection.Open();
            dataadapter.Fill(ds, "Authors_table");
            connection.Close();
            dataGridView1.DataSource = ds;
            dataGridView1.DataMember = "Authors_table";
        }