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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis
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Neoclassical Analysis - Calculus Closer to the Real World (Hardcover)
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Neoclassical Analysis - Calculus Closer to the Real World (Hardcover)
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Neoclassical analysis extends methods of classical calculus to
reflect uncertainties that arise in computations and measurements.
In it, ordinary structures of analysis, that is, functions,
sequences, series, and operators, are studied by means of fuzzy
concepts: fuzzy limits, fuzzy continuity, and fuzzy derivatives.
For example, continuous functions, which are studied in the
classical analysis, become a part of the set of the fuzzy
continuous functions studied in neoclassical analysis. Aiming at
representation of uncertainties and imprecision and extending the
scope of the classical calculus and analysis, neoclassical analysis
makes, at the same time, methods of the classical calculus more
precise with respect to real life applications. Consequently, new
results are obtained extending and even completing classical
theorems. In addition, facilities of analytical methods for various
applications also become more broad and efficient.
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