After thirty years of research and study of different phenomenons related to
the architecture of nature, being astonished and encouraged by a devine providence
and joy, the author of this book is pleased to present a new mathematical theory with
a simple name ”Transversal Functional Analysis” as an extension of the classical
functional analysis.This theory was formed after revealing a deep analogy of facts and phenomenons
amond different often disparate mathematical notions of nonlinear functional
analysis as the broadest mathematical framework.
This new mathematical theory ”Transversal Functional Analysis” presented
in this book is an illustrative construction of the new mathematical architecture of
future events in mathematics and wider.
In this meaning, the aim of this monograph is to give a systematic and unified
account of the topics in transversal functional analysis that lies on the border-line
of geometry, ordered sets theory, topology, algebra, and functional analysis.