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Chaos, Gaia, Eros
Untitled Document Chaos, Gaia, Eros: A Chaos Pioneer Uncovers the Three Great Streams of History The History of the World According to Chaos Theory In this eclectic and interdisciplinary work, chaos pioneer Ralph Abraham traces the history of consciousness through a rediscovery of the three forces that drive it: chaos, gaia, and eros-the mind, body, and spirit of evolution. With startling originality and clarity of vision, Abraham employs photographs, timelines, charts, and an engaging format to sweep the reader along on this wild ride through math, science, mythology, philosophy, and the whole of history. Sure to fascinate the poet, scientist, philosopher, and historian in all of us, Chaos,...
Hip Santa Cruz
First person accounts from the pioneers of the Hip Culture of Santa Cruz in the 1960s, including: Pat Bisconti, Rick Gladstone, Max Hartstein, Peter Demma, Bob Hall, Fred McPherson, Paul Lee, Judy Hill, Leon Tabory, Joe Lysowski, Ralph Abraham, and Rivkah Barmore. Ralph Abraham is a Professor of Mathematics at the University of of California at Santa Cruz.
Chaos in Discrete Dynamical Systems
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.
Foundations Of Mechanics
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.
Vibrations and Forms
A collection of 28 articles spanning 46 years of studies in the history and philosophy of consciousness. Inspired by psychedelics in the 1960s, many have not previously been published. Ralph Abraham is a Professor of Mathematics at the University of California at Santa Cruz.
Manifolds, Tensor Analysis, and Applications
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 intere...
Bolts from the Blue
We have discovered a pattern for cultural bifurcations involving artists making significant contributions to the history of mathematics.How much of this material would you recognize as mathematics on the basis of your school education? How much appears on standard tests? And what kind of training best supports the development of your natural mathematical skills? How is the integration of mathematics and culture faring today? The six stories of this book-in addition to being examples of cultural ecologies, mathematical mentalities, and bolts from the blue-exhibit the integration of math and cultural history, the basis of a new way of teaching math in school.
Chaos, Creativity, and Cosmic Consciousness
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...
Chaos, Fractals, and Dynamics
This timely work focuses on the recent expansion of research in the field of dynamical systems theory with related studies of chaos and fractals. Integrating the work of leading mathematicians, physicists, chemists, and engineers, this research-level monograph discusses different aspects of the concepts of chaos and fractals from both experimental and theoretical points of view. Featuring the most recent advances-including findings made possible by the development of digital computers-this authoritative work provides thorough understanding of known behavior of nonlinear dynamical systems as well as considerable insight into complex aspects not yet well understood. With a broad, multidisciplinary perspective and an ample supply of literature citations, Chaos, Fractals, and Dynamics is an invaluable reference and starting point for further research for scientists in all fields utilizing dynamical systems theory, including applied mathematicians, physicists, dynamists, chemists, biomathematicians, and graduate students in these areas. Book jacket.
