978-0-942344-02-8 / 9780942344028

Dynamics, the Geometry of Behavior, Part 2: Chaotic Behavior (Visual Mathematics Library)


Publisher:Aerial Pr



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About the book:

Dynamics is emerging as an important conceptual scheme, unifying the sciences -- physical, biological, and social -- in a common geometric model. This book, the second of a series, introduces the basic concepts of chaotic dynamics, through the most important experimental discoveries of the last two decades. Written for a general audience, without the assumption of previous training in math or the sciences. Visual presentation, the hallmark of the Visual Mathematics Library, makes the ideas accessible. About the Authors : RALPH H. ABRAHAM is Professor of Mathematics at the University of California at Santa Cruz. He received the Ph.D. in Mathematics at the University of Michigan in 1960, and taught at Berkeley, Columbia, and Princeton before moving to Santa Cruz in 1968. He is the author of "Linear and Multilinear Algebra", "Foundations of Mechanics" (with J.E. Marsden), "Transversal Mappings and Flows" (with J. Robbin), and "Manifolds, Tensor Analysis, and Applications" (with J.E. Marsden and T. Ratiu). Also, he is the founding editor of these series: "Eagle Mathematics", "Pure and Applied Global Analysis", and "The Visual Mathematics Library". He has been active on the research frontier of dynamics - in mathematics since 1960, and in applications and experiments since 1973. In 1975, he founded the "Visual Mathematics Project" at the University of California at Santa Cruz, to explore the use of interactive computer graphics in teaching mathematics. CHRISTOPHER D. SHAW received the B.S. in Biology from Wesleyen University in 1972, then spent five years as a painter, traveling in Europe, Asia, and South America. After returning to the U.S., he was Energy Conservation Coordinator for the County of Santa Cruz for two years, where he produced "The Energy Conservation Building Manual", a condensation of 350 pages of the California Building Code into a 17 page comic book. He has illustrated several science texts, and worked in the film industry.

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