Meditation builds on deep breathing and takes it a step further. When you meditate, your brain enters an area of functioning that’s similar to sleep, but carries some added benefits you can’t achieve as well in any other state, and meditation actually allows you to build greater resilience toward stress over time. Also, the focus on the present moment keeps your mind from working overtime and increasing your stress levels, and from engaging in destructive mental habits such as rumination. Here's an article on different types of meditation to help you get started.
If brainwave entrainment leaves you with unwanted side-effects (see below) or discomfort, you’re probably encouraging a range of brainwaves that are already excessive in some area of your brain. The way around this is to get a brain map to see what your brain’s strengths and weaknesses are, and see what (if any) brainwaves could use some encouragement.