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 mechanics, electromagnetism, plasma dynamics and control theory are given using both invariant and index notation. The prerequisites required are solid undergraduate courses in linear algebra and advanced calculus.

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 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.

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."

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.

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.

The Web Empowerment Book is the first book devoted entirely to the World Wide Web, a hypertext-linked system which enables Internet users to navigate readily through a maze of Web servers and providers. Although there is a wealth of information available on the Internet, this is the first practical "how-to" book to explain in simple, pragmatic terms how to establish your own connection, to navigate through, and understand the WWW. Users with or without previous knowledge will have access to a book which has put the information and solutions regarding the WWW into a well-written, accessible context. This is accomplished in three basic steps: Step 1: Get an account from an Internet provider and a modem, to use utilities at the Internet providers site, and to download files. Step 2: Add SLIP or PPP to your own machine to use your own TCP/IP utilities: Email, Telnet, gopher, FTP, NewsGroups, UseNet, WAIS, Archie, Finger, etc. Step 3: Add World-Wide Web (WWW) Browser and Displayers for: Hypertext, Images, Sounds, Movies.

Book Description
Demystifying the Akasha: Consciousness and the Quantum Vacuum
Duality, including the spiritual/material and mind/body dichotomies, has been the basis of the Western paradigm for four hundred years, and has been blamed for major world problems.
Meanwhile, in the East, nonduality has prevailed. While science is generally seen in opposition to nonduality, this book sets out to prove the compatibility of the scientifi c outlook and the spiritual nonduality of India by constructing a mathematical model of cosmic consciousness. The ideas and their history are presented non technically in Part One, while the full mathematical details are presented in Part Two.
Ralph Abraham is Professor of Mathematics at the University of California at Santa Cruz, one of the pioneers of chaos theory. He is the author or coauthor of several math texts, including Foundations of Mechanics, Dynamics the Geometry of Behavior, and Chaos in Discrete Dynamical Systems. He has also written books on the history of math, philosophy, and the arts, such as Chaos, Creativity, and Cosmic Consciousness and The Evolutionary Mind.
Sisir Roy is Professor of Theoretical Physics, Indian Statistical Institute, Kolkata. His field of interest covers foundations of quantum mechanics, cosmology, functional geometry and brain function. He has published more than 100 papers in peer reviewed international journals and nine research and edited monographs by Kluwer Academic, World Scientific etc. publishers.
Praise for Demystifying the Akasha: Consciousness and the Quantum Vacuum
"A key contribution to bringing the concept of the Akasha into the ambit of contemporary science, and relating it to our understanding of consciousness. A book for all serious students of cosmos and consciousness."
Dr. Ervin Laszlo, Author of Science and the Akashic Field

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."