This book, originally written in1969 by Berkeley mathematician John Rhodes is known as the Wild Book, and quickly became an underground classic in manuscript form studied by many leading researchers in mathematics, complex systems, artificial intelligence, and systems biology. Yet it has never been available inprint until now. Nevertheless, it is the founding work of algThis book, originally written in1969 by Berkeley mathematician John Rhodes is known as the Wild Book, and quickly became an underground classic in manuscript form studied by many leading researchers in mathematics, complex systems, artificial intelligence, and systems biology. Yet it has never been available inprint until now. Nevertheless, it is the founding work of algebraic engineering, an emerging field that uses the unifying scheme of finite state machine models and their complexity to tie together finite group theory, semi group theory, automata and sequential machine theory, finitephase space physics, metabolic and evolutionary biology, epistemology mathematical theory of psychoanalysis, philosophy, and game theory.This first published edition has been edited by Chrystopher Nehaniv for the 21st century, and sets the stage for the application of algebraicautomata theory to areas outside mathematics. Its novel and rigorous development of the mathematical theory of complexity via algebraic automata theory reveals deep and unexpected connections between algebra (semigroups) and areas of science, and engineering.The material and references have been brought up to date by the editor as much as possible, yet the book retains its distinct character and. the bold yet rigorous style of the author. The approach and contents will be of interest to a variety of researchers and students in algebra as well as to the diverse, growing areas of applications of algebra in science and engineering....
Title  :  Applications of Automata Theory and Algebra: Via the Mathematical Theory of Complexity to Biology, Physics, Psychology, Philosophy, and Games 
Author  :  
Rating  :  
ISBN  :  9789812836960 
Format Type  :  Hardcover 
Number of Pages  :  274 Pages 
Status  :  Available For Download 
Last checked  :  21 Minutes ago! 
Applications of Automata Theory and Algebra: Via the Mathematical Theory of Complexity to Biology, Physics, Psychology, Philosophy, and Games Reviews

At first read, I was uncertain if the author was crazy or a genius. After reading it a couple times, I think it's the latter, but the excitement of the author could be misconstrued for lunacy, or viceversa.One of the first (perhaps the only) book to discuss semigroups from the perspective of computation, and as a "theory of time" (in the sense that sequence of events/transformations is a "theory of time").Discusses physics from this perspective, which is done in the "obvious way": the timeevolution of a system is the principal problem in physics, which is an obvious semigroup problem.Likewise in biology, the cell has two "subsystems", namely some "metabolism" subsystem and a "genetic" subsystem. These are examples of computational processes, which are themselves semigroups.