Preheat oven to 350 degrees F (175 degrees C). Grease cookie sheets.
In a large bowl, cream together the butter, brown sugar, and white sugar until smooth. Beat in the egg and vanilla. Combine the flour, baking soda, cinnamon, nutmeg, and salt; stir into the creamed mixture. Mix in the chopped apples and walnuts.
Drop cookie dough by teaspoonfuls onto the prepared cookie sheets. Bake for 10 to 12 minutes in the preheated oven. Allow cookies to cool on baking sheet for 5 minutes before transferring to a wire rack to cool completely.
Interesting Facts
Apples are a good source of dietary fiber and vitamin C.
Cinnamon has been used for centuries to help aid in digestion.
Nutmeg has been used in traditional medicine for its antiseptic and anti-inflammatory properties.