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Publisher
Springer, Dordrecht
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Authors: Vladimir G Ivancevic Tijana T Ivancevic
Publish Date: 2010
Volume: , Issue: , Pages: 559-839
Abstract
In modern mathematical sciences whenever one defines a new class of mathematical objects one proceeds almost in the next breath to say what kinds of maps between objects will be considered A general framework for dealing with situations where we have some objects and maps between objects like sets and functions vector spaces and linear operators points in a space and paths between points etc—gives the modern metalanguage of categories and functors Categories are mathematical universes and functors are ‘projectors’ from one universe onto anotherThis section reviews modern mathematical and engineering tools necessary for comprehensive reading of the book It includes modern algebraic and geometrical structures partition functions modern Kalman and waveletbased signal processing chaos theory and Nash game theory
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