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Full Description
In mathematics, the term integration is one of the most important concepts and has an exact and rather restricted. This book examines the development of integration as a mathematical field, as well as mathematical models in different areas that involve integration.
Contents
Preface; Introductiontransfer principle for multiple integrals with respect to Gaussian random fields with applications; Infinite-dimensional Integration, Feynman Integral, & Hyperintegration; Simple formulas for conditional function space integrals & applications; Functional Derivatives, Schrodinger Equations, & Feynman Integral; Path Integrals for Gaussian Process; Lower Bounds for Jung Constants of Orlicz Function Spaces; Constructive Representation Theory for the Feynman operator calculus on Banach spaces; Feynman's operational calculi: Auxiliary Operations & Related Disentangling Formulas; Feynman's Operational Calculi: Auxiliary Operations & Related Disentangling Formulas; An Integral Equation for Feynman's Operational Calcului; Finite Difference Approximation of Quantum Mechanical Wave Packets; Functional Integration for Quantum Field Theory; Viscosity solutions, backward stochastic differential equations & Markov processes; A Fredholm-type theorem for linear integral equations of Stieltjes type; The refinement integral: with applications to information theory & statistics; On Generalized Product; Saks-Heinstok Lemma; A generalized Black-Scholes equation without Ito calculus; Index.NER(01): GB IE
