two types of shaucha (purification): bahir shaucha (external purification) and antah shaucha (internal purification)
Bahir shaucha: washing the outer part of the body
Antah shaucha: viewing everything and every being as a friend, and treating all with affection (maitri)
Santosha: contentment (a state of happiness and satisfaction)
Keeping the mind focused in a single direction, always being happy and never feeling regret for any reason, this is santosha.
Tapas: observances performed to discipline the body and sense organs.
The perfection of the body and sense organs is due to intensity in spiritual practice, being the eliminatioin of imurities.
Swadhyaya: the recital of Vedic verses and prayers in accordance with strict rules of recitation.
The Gayatri mantra forms the basis for the study of all Vedic verses or mantras
The Gayatri is a verse of the sacred Rg Veda addressed to the Sun, and is held to be the holiest passage.
Ishwarapranidhana: surrender to God. Carrying out all our actions, spoken or unspoken, without desiring their fruit and offering their fruit to the Lord.
Whatever I do, whether out of desire or not, good or bad, having surrendered all that to you, I act as directed by you.
Through ishwarapranidhana, samadhi (union with the Supreme) is attained, which in turn leads to the attainment of perfectio and fulfillment.