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Published in 1965, the brilliant book by R. P. Feynman and A. R. Hibbs, \Quantum Mechanics and Path Integrals” (McGraw-Hill, New York, 1965) presented an unusually new at the time quantum-mechanical concept – the path integral approach. This approach was an alternative to the Schrodinger wave equation and Heisenberg matrix dynamics. The discovery of the quantum mechanical path integral approach was originated by the attempt of P. A. M. Dirac to _nd what corresponds in quantum theory to the Lagrangian method of classical mechanics. Dirac searched for the role which classical mechanics fundamentals like the Lagrangian and `least-action’ principle play in quantum mechanics. Based on Dirac’s _ndings, Feynman developed his idea of \the sum over paths” and called it \a path integral “. Since then, the path integral approach and the perturbation technique based on it, Feynman diagrams, became powerful tools in quantum mechanics and quantum _eld theory, solid state and quantum liquid theory, equilibrium and non-equilibrium statistical physics, theory of turbulence and chaotic phenomena, theory of random processes and polymer physics, mathematics, chemistry, economic studies.