Functional integration is one of the most powerful methods of
contempo rary theoretical physics, enabling us to simplify,
accelerate, and make clearer the process of the theoretician's
analytical work. Interest in this method and the endeavour to
master it creatively grows incessantly. This book presents a study
of the application of functional integration methods to a wide
range of contemporary theoretical physics problems. The concept of
a functional integral is introduced as a method of quantizing
finite-dimensional mechanical systems, as an alternative to
ordinary quantum mechanics. The problems of systems quantization
with constraints and the manifolds quantization are presented here
for the first time in a monograph. The application of the
functional integration methods to systems with an infinite number
of degrees of freedom allows one to uniquely introduce and
formulate the diagram perturbation theory in quantum field theory
and statistical physics. This approach is significantly simpler
than the widely accepted method using an operator approach."
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