Neoclassical Analysis: Calculus Closer to the Real World - Hardcover

Mark Burgin

 
9781600219467: Neoclassical Analysis: Calculus Closer to the Real World
Hardcover
ISBN 10: 1600219462 ISBN 13: 9781600219467
Publisher: Nova Science Publishers Inc, 2008

Synopsis

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.

"synopsis" may belong to another edition of this title.

Synopsis

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.

"About this title" may belong to another edition of this title.

Publisher
Nova Science Publishers Inc
Publication date
2008
Language
English
ISBN 10 
1600219462
ISBN 13 
9781600219467
Binding
Hardcover
Number of pages
200
Editor
Mark Burgin