This is the first of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self-contained and accessible to the nonspecialist. Among the topics of Volume I are the two basic fixed-point theorems of Banach […]
Operads are mathematical devices which describe algebraic structures of many varieties and in various categories. Operads are particularly important in categories with a good notion of “homotopy” where they play a key role in organizing hierarchies of higher homotopies. Significant examples first appeared in the sixties though the formal definition […]
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