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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.
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,...
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...
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.
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.
The Buddha's Gospel
Described as ‘unique and a great service to understanding’, this book is intended for three groups; Western Buddhists, that bulk of the West that have no religious affiliation yet know there is something more to life, and Buddhists in Asia who follow the encounter of the dharma with the West. It highlights the pervasive similarities in the teachings of Jesus and the Buddha as they were probably originally presented. In its six chapters and appendix, it compares the two great teachers, the Buddha and Jesus, briefly charts the process by which experts have produced words readily attributed to Jesus and presents a Buddhist ‘imitation’ of these words based on the hypothetical ‘Sayings ...
The Chaos Avant-garde
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."
The Yogic View of Consciousness (HQ)
Patanjali's Yoga Sutras are mysterious and cryptic and exert hypnotic fascination on all whose minds they touch. In The Yogic View of Consciousness, Don DeGracia unfolds the theory of consciousness enshrined in the obtuse aphorisms of the Yoga Sutras. Yoga describes the mind as a multi-leveled system closed in on itself yet illuminated from within its innermost depth by a divine spark that gives life and consciousness to every individual. Drawing on ideas Eastern and Western, ancient and modern, from Abhinavagupta to Leibniz, Mahaprabhu to George Berkeley, IK Taimni to Hermann Weyl, DeGracia weaves an intellectual tapestry harmonizing science, philosophy, religion, mathematics, and the mystical. Compared to the grandeur of The Yogic View of Consciousness the hostilities of secular science and philosophy appear as little more than the psycho-babble of lunatics and an affront to the sublime majesty of existence. Take the wild ride to the very source of being revealed by The Yogic View of Consciousness.
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