Sensible integration is without doubt one of the strongest tools of contempo rary theoretical physics, permitting us to simplify, speed up, and make clearer the method of the theoretician's analytical paintings. curiosity during this approach and the endeavour to grasp it creatively grows frequently. This e-book offers a examine of the appliance of sensible integration tips on how to a variety of modern theoretical physics difficulties. the concept that of a useful fundamental is brought as a mode of quantizing finite-dimensional mechanical structures, in its place to dull quantum mechanics. the issues of structures quantization with constraints and the manifolds quantization are provided right here for the 1st time in a monograph. the appliance of the useful integration how you can structures with an unlimited variety of levels of freedom permits one to uniquely introduce and formulate the diagram perturbation concept in quantum box thought and statistical physics. This method is considerably less complicated than the generally accredited procedure utilizing an operator technique.

[...]