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Chaos & Systems


Applications of Automata Theory and Algebra: Via the Mathematical Theory of Complexity to Biology, Physics, Psychology, Philosophy, and Games

Applications of Automata Theory and Algebra: Via the Mathematical Theory of Complexity to Biology, Physics, Psychology, Philosophy, and Games Lowest new price: $42.30
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Author: John Rhodes
Brand: Brand: World Scientific Publishing Company

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 The unpublished manuscript, often referred to as “The Wild Book”, became an underground classic, continually requested in manuscript form, and read by many leading researchers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.

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Nonlinear Dynamical Control Systems

Nonlinear Dynamical Control Systems Lowest new price: $95.99
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Author: Henk Nijmeijer

This volume deals with controllability and observability properties of nonlinear systems, as well as various ways to obtain input-output representations. The emphasis is on fundamental notions as (controlled) invariant distributions and submanifolds, together with algorithms to compute the required feedbacks.

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Methods of Qualitative Theory in Nonlinear Dynamics Part 2. World Scientific Series on Nonlinear Science, Series A, Volume 5 (Pt. 2)

Methods of Qualitative Theory in Nonlinear Dynamics Part 2. World Scientific Series on Nonlinear Science, Series A, Volume 5 (Pt. 2) Lowest new price: $160.31
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Author: Leon O Chua

Bifurcation and chaos has dominated research in nonlinear dynamics for over two decades, and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous mathematical bridge between these two disparate levels of exposition. This book has been written to serve that unfulfilled need.Following the footsteps of Poincaré, and the renowned Andronov school of nonlinear oscillations, this book focuses on the qualitative study of high-dimensional nonlinear dynamical systems. Many of the qualitative methods and tools presented in the book have been developed only recently and have not yet appeared in textbook form.In keeping with the self-contained nature of the book, all the topics are developed with introductory background and complete mathematical rigor. Generously illustrated and written at a high level of exposition, this invaluable book will appeal to both the beginner and the advanced student of nonlinear dynamics interested in learning a rigorous mathematical foundation of this fascinating subject.


A Student's Guide to Entropy (Student's Guides)

A Student's Guide to Entropy (Student's Guides) Lowest new price: $70.07
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Author: Don S. Lemons

Striving to explore the subject in as simple a manner as possible, this book helps readers understand the elusive concept of entropy. Innovative aspects of the book include the construction of statistical entropy, the derivation of the entropy of classical systems from purely classical assumptions, and a statistical thermodynamics approach to the ideal Fermi and ideal Bose gases. Derivations are worked through step-by-step and important applications are highlighted in over 20 worked examples. Nearly 50 end-of-chapter exercises test readers' understanding. The book also features a glossary giving definitions for all essential terms, a time line showing important developments, and list of books for further study. It is an ideal supplement to undergraduate courses in physics, engineering, chemistry and mathematics.

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The Emergence of Everything: How the World Became Complex

The Emergence of Everything: How the World Became Complex Lowest new price: $13.23
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Author: Harold J. Morowitz

When the whole is greater than the sum of the parts--indeed, so great that the sum far transcends the parts and represents something utterly new and different--we call that phenomenon emergence. When the chemicals diffusing in the primordial waters came together to form the first living cell, that was emergence. When the activities of the neurons in the brain result in mind, that too is emergence.
In The Emergence of Everything, one of the leading scientists involved in the study of complexity, Harold J. Morowitz, takes us on a sweeping tour of the universe, a tour with 28 stops, each one highlighting a particularly important moment of emergence. For instance, Morowitz illuminates the emergence of the stars, the birth of the elements and of the periodic table, and the appearance of solar systems and planets. We look at the emergence of living cells, animals, vertebrates, reptiles, and mammals, leading to the great apes and the appearance of humanity. He also examines tool making, the evolution of language, the invention of agriculture and technology, and the birth of cities. And as he offers these insights into the evolutionary unfolding of our universe, our solar system, and life itself, Morowitz also seeks out the nature of God in the emergent universe, the God posited by Spinoza, Bruno, and Einstein, a God Morowitz argues we can know through a study of the laws of nature.
Written by one of our wisest scientists, The Emergence of Everything offers a fascinating new way to look at the universe and the natural world, and it makes an important contribution to the dialogue between science and religion.

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The Perfect Swarm: The Science of Complexity in Everyday Life

The Perfect Swarm: The Science of Complexity in Everyday Life Lowest new price: $2.97
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Author: Len Fisher

The process of "self-organization" reveals itself in the inanimate worlds of crystals and seashells, but, as Len Fisher shows, it is also evident in living organisms, from fish to ants to human beings. Understanding the "swarm intelligence" inherent in groups can help us do everything from throw a better party to start a fad to make our interactions with others more powerful. Humorous and enlightening, The Perfect Swarm demonstrates how complexity arises from nature's simple rules and how we can use their awesome power to untangle the frustrating complexities of life in our ever more chaotic world.

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Leadership and the New Science: Discovering Order in a Chaotic World (Revised and Expanded 2nd Edition)

Leadership and the New Science: Discovering Order in a Chaotic World (Revised and Expanded 2nd Edition) Lowest new price: $16.00
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Author: Margaret J. Wheatley
Brand: Brand: Berrett-Koehler Publishers

Leadership and the New Science launched a revolution by demonstrating that ideas drawn from quantum physics, chaos theory, and molecular biology could improve organizational performance. Margaret Wheatley called for free-flowing information, individual empowerment, relationship networks, and organizational change that evolves organically -- ideas that have become commonplace. Now Wheatley's updated classic, based on her experiences with these ideas in a diverse number of organizations on five continents, is available in paperback.

When Margaret J. Wheatley's Leadership and the New Science was initially published in 1992, it outlined an unquestionably unique but extremely challenging view of change, leadership, and the structure of groups. Many readers immediately embraced its cutting-edge perspective, but others just could not understand how the complicated scientific tenets it described could be used to reshape institutions. Now Wheatley, an organizational specialist who has since coauthored A Simpler Way, updates the original by including additional material (such as an epilogue addressing her personal experiences during the past decade) and reconstructing some of her more challenging concepts. The result is a much clearer work that first explores the implications of quantum physics on organizational practice, then investigates ways that biology and chemistry affect living systems, and finally focuses on chaos theory, the creation of a new order, and the manner that scientific principles affect leadership. "Our old ways of relating to each other don't support us any longer," she writes. "It is up to us to journey forth in search of new practices and new ideas that will enable us to create lives and organizations worthy of human habitation." --Howard Rothman

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Order Out of Chaos

Order Out of Chaos Lowest new price: $57.95
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Author: Ilya Prigogine

A distinguished chemist and Nobel laureate defines open dissipative structures that encompass human social behavior, chemical reactions, and ecosystems

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Radiance of Being: Understanding the Grand Integral Vision; Living the Integral Life (Omega Book)

Radiance of Being: Understanding the Grand Integral Vision; Living the Integral Life (Omega Book) Lowest new price: $13.83
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Author: Allan Combs

“Allan Combs...adroitly presents the grand possibility that systems/complexity theory, cognitive neuro-science, and the great mystical traditions can work together to illuminate that most ordinary yet mysterious power we all possess, which Combs prefers to call “subjective presence” or more plainly, “consciousness”.... Combs centers his reader in a consciousness that beholds the entire living museum and artifice of mental structures while also describing the most evolved, if distant-sounding stages in the evolution of consciousness. If while reading The Radiance of Being you become a bit giddy, perhaps it will be because Combs’ words and incisive quotes have guided you into, then out of the labyrinth of the mind and onto that “farther shore” where only the One Shines, ever-new.”―Stuart Sovatsky, California Institute of Integral Studies, Cybernetics & Human Knowledge, Vol. 6, No. 4, 1999

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Nonlinear Optics

Nonlinear Optics Lowest new price: $22.82
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Author: Nicolaas Bloembergen
Brand: Brand: World Scientific Pub Co Inc

Nicolaas Bloembergen, recipient of the Nobel Prize for Physics (1981), wrote Nonlinear Optics in 1964, when the field of nonlinear optics was only three years old. The available literature has since grown by at least three orders of magnitude.The vitality of Nonlinear Optics is evident from the still-growing number of scientists and engineers engaged in the study of new nonlinear phenomena and in the development of new nonlinear devices in the field of opto-electronics. This monograph should be helpful in providing a historical introduction and a general background of basic ideas both for experts specializing in this discipline and for scientists and students who wish to become acquainted with it.This is the fourth reprint and includes new references to the recent literature.

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