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Concrete Functional Calculus focuses primarily on differentiability of some nonlinear operators on functions or pairs of functions, including composition of two functions, and the product integral, taking a matrix- or operator-valued coefficient function into a solution of a system of linear differential equations with the given coefficients.§Key features and topics:§Extensive usage of p-variation of functions§Applications to stochastic processes.§This work will serve as a thorough reference on its main topics for researchers and graduate students with a background in real analysis and, for Chapter 12, in probability.