The path i ntegra l formalism of Quantum Hechanic s isrndeveloped from both the Lagrangian and Hamiltonian point ofrnview. Some e xact propagators are calculated. Severalrnstat istical mechanics p r oblems are d i scussed via a pa thrninteg r a l fo rmulation of the statisti cal density matrix a ndrnan a pplicati on to second quantized Hamilton ians using coherentrnstates is described . The va riational technique i srnconsidered wi th illustrative examples . A review of somernselecte d recen t achievements o f the technique 1s presented