http://worldcat.org/entity/work/id/1186281

Lectures on linear sequential machines

The book is a self-contained introduction to the theory of linear sequential machines. It is the author's view that discrete linear systems should be studied over arbitrary fields and not be restricted to finite fields because, in the finite case, linearity is often a hindrance, not an asset. Until now there has been no book devoted to the study of discrete linear systems over arbitrary fields. In dealing with the subject in this manner, the author exposes the basic theory of infinite linear automata and relates them to the theory of sequential machines. In the discrete setting, the role of linearity can be clearly seen and the modern analysis needed to do continuous systems does not obscure the basic simplicity of these devices.

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