[World Scientific Publishing Co Pte Ltd]
Kategoria: Książki / Literatura obcojęzyczna
and evolutionary biology, epistemology, mathematical
theory of psychoanalysis, philosophy, and game
theory. The author thus introduced a completely original
algebraic approach...
Pełen opis produktu 'Applications Of Automata Theory And Algebra: Via The Mathematical Theory Of Complexity To Biology, Physics, Psychology, Philosophy, And Games' »
This book was originally written in 1969 by Berkeley mathematician
John Rhodes. It is the founding work in what is now called
algebraic engineering, an emerging field created by using the
unifying scheme of finite state machine models and their complexity
to tie together many fields: finite group theory, semigroup theory,
automata and sequential machine theory, finite phase space physics,
metabolic and evolutionary biology, epistemology, mathematical
theory of psychoanalysis, philosophy, and game theory. The author
thus introduced a completely original algebraic approach to
complexity and the understanding of finite systems. The unpublished
manuscript, often referred to as "The Wild Book", became an
underground classic, continually requested in manuscript form, and
read by many leading researchers in mathematics, complex systems,
artificial intelligence, and systems biology. Yet it has never been
available in print until now. This first published edition has been
edited and updated by Chrystopher Nehaniv for the 21st century.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. Co-founded by John Rhodes and Kenneth
Krohn in 1962, algebraic automata theory has grown into a vibrant
area of research, including the complexity of automata, and
semigroups and machines from an algebraic viewpoint, and which also
touches on infinite groups, and other areas of algebra. This book
sets the stage for the application of algebraic automata theory to
areas outside mathematics. 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.Included are treatments of topics such as models of time
as algebra via semigroup theory; evolution-complexity relations
applicable to both ontogeny and evolution; an approach to
classification of biological reactions and pathways; the
relationships among coordinate systems, symmetry, and conservation
principles in physics; discussion of punctuated equilibrium (prior
to Stephen Jay Gould); games; and applications to psychology,
psychoanalysis, epistemology, and the purpose of life. 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. Moreover, many
parts of the book will be intelligible to non-mathematicians,
including students and experts from diverse backgrounds.
