दृष्टानुश्रविकविषयवितृष्णस्य वशीकारसंज्ञा वैराग्यम्॥१५॥
drista anu-shravika vishaya vitrish-nasya vashikara sanjna vairagyam ॥15॥
Swami Prabhavananda: Non-attachment is self-mastery; it is freedom from desire for what is seen or heard.
Non-attachment and detachment are essentially different in practice. In a detached state of mind there is no connecting with emotions at all, a sort of non-caring. With a non-attached mind, one can act with feeling, love and concern for others and with compassion towards oneself, but whatever the effect it doesn't affect the doer.