The numbers and the functions full generalized of Colombeau: algebraic

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Focusing on advanced mathematical concepts, this book explores the topological ring of Colombeau's full generalized numbers and the associated space of generalized functions. It extends the existence and uniqueness of solutions for a boundary-initial value problem of parabolic type, previously examined by Colombeau and Langlais in 1990. The author employs topological results like density and completeness to support these findings, making it a significant contribution to the field of generalized functions and their applications.