In calculus, we integrate functions using two types of integration
-- definite integration and indefinite integration. In functional
analysis, we integrate operators. To find a solution of a
differential equation, we integrate this equation. Going beyond
mathematics, we see that in databases, we integrate data, as well
as database schemas. In electronics, integrated circuits have
become central components of computers, calculators, cellular
phones, and other digital appliances, which are now inextricable
parts of the structure of modern societies. In economics, we have
integration of the economy of one country into the economy of a
union of other countries, eg: integration of economy of Hungary
into the European Union economy. There is political integration and
there is social integration. Thus, we can see many types and kinds
of integration. Design of complex database schemas is based on a
gradual integration of external schemas. Research presented in this
book studies integration in mathematics and its applications.
However, it is not only classical integration of functions but also
fuzzy integration, integration of structures, probability as
integration of random characteristics and integral operators in
bundles with a hyperspace base.
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