Rupert Sheldrake

Ralph Abraham

Terence McKenna

Three of the most original thinkers of our time explore issues that call into question our current views of reality, morality, and the nature of life. • A wide-ranging investigation of the ecology of inner and outer space, the role of chaos theory in the dynamics of human creation, and the rediscovery of traditional wisdom. In this book of "trialogues," the late psychedelic visionary and shamanologist Terence McKenna, acclaimed biologist and originator of the morphogenetic fields theory Rupert Sheldrake, and mathematician and chaos theory scientist Ralph Abraham explore the relationships between chaos and creativity and their connection to cosmic consciousness. Their observations call into question our current views of reality, morality, and the nature of life in the universe. The authors challenge the reader to the deepest levels of thought with wide-ranging investigations of the ecology of inner and outer space, the role of chaos in the dynamics of human creation, and the resacralization of the world. Among the provocative questions the authors raise are: Is Armageddon a self-fulfilling prophecy? Are we humans the imaginers or the imagined? Are the eternal laws of nature still evolving? What is the connection between physical light and the light of consciousness? Part ceremony, part old-fashioned intellectual discussion, these trialogues are an invitation to a new understanding of what Jean Houston calls "the dreamscapes of our everyday waking life."

Chaos, Creativity, and Cosmic Consciousness

Conversations on Science, Imagination and Spirit

The Evolutionary Mind

Christopher Shaw

Periodic Behavior

Dynamics : The Geometry of Behavior : Part 1

J.E. Marsden

Tudor Ratiu

The purpose of this book is to provide core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical biologists. The main goal is to provide a working knowledge of manifolds, dynamical systems, tensors, and differential forms. Some applications to Hamiltonian mechanics, fluid me chanics, electromagnetism, plasma dynamics and control thcory arc given in Chapter 8, using both invariant and index notation. The current edition of the book does not deal with Riemannian geometry in much detail, and it does not treat Lie groups, principal bundles, or Morse theory. Some of this is planned for a subsequent edition. Meanwhile, the authors will make available to interested readers supplementary chapters on Lie Groups and Differential Topology and invite comments on the book's contents and development. Throughout the text supplementary topics are given, marked with the symbols ~ and {l:;J. This device enables the reader to skip various topics without disturbing the main flow of the text. Some of these provide additional background material intended for completeness, to minimize the necessity of consulting too many outside references. We treat finite and infinite-dimensional manifolds simultaneously. This is partly for efficiency of exposition. Without advanced applications, using manifolds of mappings, the study of infinite-dimensional manifolds can be hard to motivate.

Manifolds, Tensor Analysis, and Applications

Foundations of Mechanics is a mathematical exposition of classical mechanics with an introduction to the qualitative theory of dynamical systems and applications to the two-body problem and three-body problem.

Foundations Of Mechanics

Laura Gardini

Christian Mira

The materials in the book and on the accompanying disc are not solely developed with only the researcher and professional in mind, but also with consideration for the student: most of this material has been class-tested by the authors. The book is packed with some 100 computer graphics to illustrate the material, and the CD-ROM contains full-colour animations tied directly to the subject matter of the book itself. The cross-platform CD also contains the program ENDO, which enables users to create their own 2-D imagery with X-Windows. Maple scripts are provided to allow readers to work directly with the code from which the graphics in the book were taken.

A Visual Introduction in 2 Dimensions

Chaos in Discrete Dynamical Systems

Christopher D. Shaw

Dynamics--the Geometry of Behavior: Global behavior

Frank Jas

Willard Russell

The Web Empowerment Book is devoted entirely to prospective home users of the Internet. The authors' primary emphasis is on accessing the World Wide Web: a smooth, graphically-oriented system for viewing information from universities, businesses, government, and individuals anywhere in the world. This book gives you both an armchair tour of Internet resources in color, as well as presenting all the concepts you need to get connected. In three well-explained steps it describes how to get wired to the Internet and the World Wide Web inexpensively and easily using conventional phone technology. This handy guide also provides a concise introduction to the UNIX commands typically available from an Internet Access Provider's machine. The Internet and UNIX grew up together, so some literacy in UNIX, while not required, is desirable, since you may need UNIX to obtain software over the Internet. As a special feature, packages of free software for connecting Windows and the Macintosh are provided at the authors' own Internet sites, and at other sites listed in the book.

An Introduction and Connection Guide to the Internet and the World-Wide Web

The Web Empowerment Book

Jerrold E. Marsden

Yoshisuke Ueda

This book is an authoritative and unique reference for the history of chaos theory, told by the pioneers themselves. It also provides an excellent historical introduction to the concepts. There are eleven contributions, and six of them are published here for the first time — two by Steve Smale, three by Yoshisuke Ueda, and one each by Ralph Abraham, Edward Lorenz, Christian Mira, Floris Takens, T Y Li and James A Yorke, and Otto E Rossler.

Chaos Avant-garde, The: Memoirs Of The Early Days Of Chaos Theory

This book is an authoritative and unique reference for the history of chaos theory, told by the pioneers themselves. It also provides an excellent historical introduction to the concepts. There are eleven contributions, and six of them are published here for the first time ? two by Steve Smale, three by Yoshisuke Ueda, and one each by Ralph Abraham, Edward Lorenz, Christian Mira, Floris Takens, T Y Li and James A Yorke, and Otto E Rossler.

Memories of the Early Days of Chaos Theory

The Chaos Avant-garde

Terence K. McKenna

Chaos, Creativity, and the Resacralization of the World

Trialogues at the Edge of the West

Stimulating and often startling discussions between three friends, all highly original thinkers: Rupert Sheldrake, controversial biologist, Terence McKenna , psychedelic visionary, and Ralph Abraham , chaos mathematician. Their passion is to break out of paradigms that retard our evolution and to explore new possibilities. Through challenge and synergy they venture where few have gone before, leading their readers on an exciting journey of discovery. Their discussions focus on the evolution of the mind, the role of psychedelics, skepticism, the psychic powers of animals, the structure of time, the life of the heavens, the nature of God, and transformations of consciousness. “Three fine thinkers take us plunging into the universe of chaos, mind, and spirit. Instead of leaving us lost, they bring us back with startling insights and more wonder than we knew we had.” —Matthew Fox, Original Blessing and Sheer Joy "A jam-session of the mind, an intellectual movable feast, an on-going conversation that began over twenty years ago and remains as lively and relevant today as it ever was. Sadly, Terence had to leave the conversation a little earlier than planned. But the appearance of this book of trialogues at this critical, historical juncture is a reaffirmation of the potency of the optimistic vision that the trialogues express." —Dennis McKenna, brother of the late Terence McKenna Rupert Sheldrake is a biologist and author of many books including The Sense of Being Stared At, And Other Aspects of the Extended Mind. Ralph Abraham is a mathematician, one of the pioneers of chaos theory and the author of several books including Chaos, Gaia, Eros: A Chaos Pioneer Uncovers the Three Great Streams of History. The late Terence McKenna was a scholar of shamanism, ethno-botanist, psychedelic researcher and author of many books including Food of the Gods and True Hallucinations.

Conversations on Science, Imagination & Spirit

Stimulating and often startling discussions between three friends, all highly original thinkers: Rupert Sheldrake, controversial biologist, Terence McKenna, psychedelic visionary, and Ralph Abraham, chaos mathematician. Their passion is to break out of paradigms that retard our evolution and to explore new possibilities. Through challenge and synergy they venture where few have gone before, leading their readers on an exciting journey of discovery. Their discussions focus on the evolution of the mind, the role of psychedelics, skepticism, the psychic powers of animals, the structure of time, the life of the heavens, the nature of God, and transformations of consciousness. "Three fine thinkers take us plunging into the universe of chaos, mind, and spirit. Instead of leaving us lost, they bring us back with startling insights and more wonder than we knew we had." -Matthew Fox, "Original Blessing and Sheer Joy" "A jam-session of the mind, an intellectual movable feast, an on-going conversation that began over twenty years ago and remains as lively and relevant today as it ever was. Sadly, Terence had to leave the conversation a little earlier than planned. But the appearance of this book of trialogues at this critical, historical juncture is a reaffirmation of the potency of the optimistic vision that the trialogues express." -Dennis McKenna, brother of the late Terence McKenna Rupert Sheldrake is a biologist and author of many books including "The Sense of Being Stared At, And Other Aspects of the Extended Mind." Ralph Abraham is a mathematician, one of the pioneers of chaos theory and the author of several books including "Chaos, Gaia, Eros: A Chaos Pioneer Uncovers the ThreeGreat Streams of History." The late Terence McKenna was a scholar of shamanism, ethno-botanist, psychedelic researcher and author of many books including "Food of the Gods and True Hallucinations."

Trialogues at the Edge of the Unthinkable

This book is an authoritative and unique reference for the history of chaos theory, told by the pioneers themselves. It also provides an excellent historical introduction to the concepts. There are eleven contributions, and six of them are published here for the first time OCo two by Steve Smale, three by Yoshisuke Ueda, and one each by Ralph Abraham, Edward Lorenz, Christian Mira, Floris Takens, T Y Li and James A Yorke, and Otto E Rossler. Contents: On How I Got Started in Dynamical Systems 1959OCo1962 (S Smale); Finding a Horseshoe on the Beaches of Rio (S Smale); Strange Attractors and the Origin of Chaos (Y Ueda); My Encounter with Chaos (Y Ueda); Reflections on the Origin of the Broken-Egg Chaotic Attractor (Y Ueda); The Chaos Revolution: A Personal View (R Abraham); The Butterfly Effect (E Lorenz); I Gumowski and a Toulouse Research Group in the OC PrehistoricOCO Times of Chaotic Dynamics (C Mira); The Turbulence Paper of D Ruelle & F Takens (F Takens); Exploring Chaos on an Interval (T Y Li & J A Yorke); Chaos, Hyperchaos and the Double-Perspective (O E RAssler). Readership: Educators and university students of science and mathematics."

Ralph Abraham

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