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Introduction to Algebraic System Theory [Mathematics in Science and Engineering Volume 151]
Introduction to Algebraic System Theory [Mathematics in Science and Engineering Volume 151]
Date: 12 April 2011, 09:34

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The material in this volume has been developed as part of a lecture course given to graduate students at the University of Notre Dame during the past five years. Basically, the purpose of this course has been to provide a bridge over which interested persons could pass from the classical and traditional concepts of introductory system theory to those of its rapidly developing extension, known today as algebraic system theory.
In order to make such a passage, then, it will be most efficient if the reader already has the intuition that comes from a first course in system theory, including at least some exposure to the ideas of input-output functions, state equations, and transforms. This knowledge might come from a junior or senior level course.
Absence of such a course does not represent an impediment to reading the material. Indeed, we have endeavored to make the book as self-contained as possible.
However, a finite volume represents a fixed total resource; and we have chosen to allot more of this resource toward carefully motivating the way in which the ideas of algebra mesh with the ideas of system theory than toward motivating system theory in itself.

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