Yoga and Vedanta are the two largest surviving schools of Hindu traditions. They share many thematic principles, concepts and belief in self/soul, but diverge in degree, style and some of their methods. Epistemologically, Yoga school accepts three means to reliable knowledge, while Advaita Vedanta accepts six ways. Yoga disputes the monism of Advaita Vedanta. Yoga school believes that in the state of moksha, each individual discovers the blissful, liberating sense of himself or herself as an independent identity; Advaita Vedanta, in contrast, believes that in the state of moksha, each individual discovers the blissful, liberating sense of himself or herself as part of Oneness with everything, everyone and the Universal Self. They both hold that the free conscience is aloof yet transcendent, liberated and self-aware. Further, Advaita Vedanta school enjoins the use of Patanjali's yoga practices and the reading of Upanishads for those seeking the supreme good, ultimate freedom and jivanmukti.
The earliest extant systematic account of yoga and a bridge from the earlier Vedic uses of the term is found in the Hindu Katha Upanisad (Ku), a scripture dating from about the third century BCE[…] [I]t describes the hierarchy of mind-body constituents—the senses, mind, intellect, etc.—that comprise the foundational categories of Sāmkhya philosophy, whose metaphysical system grounds the yoga of the Yogasutras, Bhagavad Gita, and other texts and schools (Ku3.10–11; 6.7–8).
The Maitrayaniya Upanishad, likely composed in a later century than Katha and Shvetashvatara Upanishads but before Patanjali's Yoga Sutra, mentions sixfold yoga method – breath control (pranayama), introspective withdrawal of senses (pratyahara), meditation (dhyana), mind concentration (dharana), philosophical inquiry/creative reasoning (tarka), and absorption/intense spiritual union (samadhi).
The earliest references to hatha yoga are in Buddhist works dating from the eighth century. The earliest definition of hatha yoga is found in the 11th century Buddhist text Vimalaprabha, which defines it in relation to the center channel, bindu etc. Hatha yoga synthesizes elements of Patanjali's Yoga Sutras with posture and breathing exercises. It marks the development of asanas (plural) into the full body 'postures' now in popular usage and, along with its many modern variations, is the style that many people associate with the word yoga today.
An influential text which teaches yoga from an Advaita perspective of nondualistic idealism is the Yoga-Vāsiṣṭha. This work uses numerous short stories and anecdotes to illustrate its main ideas. It teaches seven stages or bhumis of yogic practice. It was a major reference for medieval Advaita Vedanta yoga scholars and before the 12th century, it was one of the most popular texts on Hindu yoga.
^ James Mallinson, "Sāktism and Hathayoga," 28 June 2012.
According to Georg Feuerstein, Laya yoga (yoga of dissolution or merging) "makes meditative absorption (laya) its focus. The laya-yogin seeks to transcend all memory traces and sensory experiences by dissolving the microcosm, the mind, in the transcendental Self-Consciousness." There are various forms and techniques of Laya yoga, including listening to the "inner sound" (nada), practicing various mudras like Khechari mudra and Shambhavi mudra as well as techniques meant to awaken a spiritual energy in the body (kundalini).
This terse definition hinges on the meaning of three Sanskrit terms. I. K. Taimni translates it as "Yoga is the inhibition (nirodhaḥ) of the modifications (vṛtti) of the mind (citta)".Swami Vivekananda translates the sutra as "Yoga is restraining the mind-stuff (Citta) from taking various forms (Vrittis)." Edwin Bryant explains that, to Patanjali, "Yoga essentially consists of meditative practices culminating in attaining a state of consciousness free from all modes of active or discursive thought, and of eventually attaining a state where consciousness is unaware of any object external to itself, that is, is only aware of its own nature as consciousness unmixed with any other object."
Core: Yes. There are yoga poses to target just about every core muscle. Want to tighten those love handles? Then prop yourself up on one arm and do a side plank. To really burn out the middle of your abs, you can do boat pose, in which you balance on your "sit bones" (the bony prominences at the base of your pelvic bones) and hold your legs up in the air.