Differential Equations, Dynamical Systems, and an Introduction to Chaos PDF Download
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Author: Morris W. Hirsch
Publisher: Academic Press
ISBN: 0123497035
Category : Business & Economics
Languages : en
Pages : 433
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Book Description
Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra. The authors are tops in the field of advanced mathematics, including Steve Smale who is a recipient of.
Author: Morris W. Hirsch
Publisher: Academic Press
ISBN: 0123497035
Category : Business & Economics
Languages : en
Pages : 433
Get Book Here
Book Description
Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra. The authors are tops in the field of advanced mathematics, including Steve Smale who is a recipient of.
Author: J. R. Dorfman
Publisher: Cambridge University Press
ISBN: 0521655897
Category : Science
Languages : en
Pages : 303
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Book Description
Introduction to applications and techniques in non-equilibrium statistical mechanics of chaotic dynamics.
Author: John Banks
Publisher: Cambridge University Press
ISBN: 9780521531047
Category : Mathematics
Languages : en
Pages : 310
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Book Description
When new ideas like chaos first move into the mathematical limelight, the early textbooks tend to be very difficult. The concepts are new and it takes time to find ways to present them in a form digestible to the average student. This process may take a generation, but eventually, what originally seemed far too advanced for all but the most mathematically sophisticated becomes accessible to a much wider readership. This book takes some major steps along that path of generational change. It presents ideas about chaos in discrete time dynamics in a form where they should be accessible to anyone who has taken a first course in undergraduate calculus. More remarkably, it manages to do so without discarding a commitment to mathematical substance and rigour. The book evolved from a very popular one-semester middle level undergraduate course over a period of several years and has therefore been well class-tested.
Author: Peter J. Carroll
Publisher: Weiser Books
ISBN: 1633412482
Category : Body, Mind & Spirit
Languages : en
Pages : 224
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Book Description
“The most original and probably the most important writer on Magick since Aleister Crowley."—Robert Anton Wilson, author of the Prometheus Rising and other works Peter Carroll’s classic work has been profound influence on the Western magical world and on the practice of chaos magick in particular. In Liber Null and Psychonaut, Carroll presents an approach to the practice of magic that draws on the foundations of shamanism and animism, as well as that found in the Greek magical papyri, the occult works of Eliphas Levi and Aleister Crowley, and the esoteric meditative practices of classical India and China. Also very much at work in the text are 20th century scientific ideas of quantum physics and chaos theory. The result is a profoundly original work of magical studies that also includes a selection of extremely powerful rituals and exercises for committed occultists with instructions that lead the reader through new concepts and practices to achieve Carroll’s definition of magic itself: the raising of the whole individual in perfect balance to the power of infinity. This Weiser Classics edition is a thoroughly revised republication of Liber Null and Psychonaut, first published by Weiser in 1987, and includes a new foreword by Ronald Hutton, a leading authority on modern witchcraft and paganism.
Author: Morris W. Hirsch
Publisher: Academic Press
ISBN: 0123820103
Category : Mathematics
Languages : en
Pages : 433
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Book Description
"Differential Equations, Dynamical Systems, and an Introduction to Chaos, now in its third edition, covers the dynamical aspects of ordinary differential equations. It explores the relations between dynamical systems and certain fields outside pure mathematics, and continues to be the standard textbook for advanced undergraduate and graduate courses in this area.""Written for students with a background in calculus and elementary linear algebra, the text is rigorous yet accessible and contains examples and explorations to reinforce learning." - BACK COVER.
Author: Jan Froyland
Publisher: Routledge
ISBN: 1351437186
Category : Science
Languages : en
Pages : 145
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Book Description
This book provides an introduction to the theory of chaotic systems and demonstrates how chaos and coherence are interwoven in some of the models exhibiting deterministic chaos. It is based on the lecture notes for a short course in dynamical systems theory given at the University of Oslo.
Author: Flavio Lorenzelli
Publisher: CRC Press
ISBN: 0203214587
Category : Science
Languages : en
Pages : 236
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Book Description
The study of chaotic systems has become a major scientific pursuit in recent years, shedding light on the apparently random behaviour observed in fields as diverse as climatology and mechanics. InThe Essence of Chaos Edward Lorenz, one of the founding fathers of Chaos and the originator of its seminal concept of the Butterfly Effect, presents his own landscape of our current understanding of the field. Lorenz presents everyday examples of chaotic behaviour, such as the toss of a coin, the pinball's path, the fall of a leaf, and explains in elementary mathematical strms how their essentially chaotic nature can be understood. His principal example involved the construction of a model of a board sliding down a ski slope. Through this model Lorenz illustrates chaotic phenomena and the related concepts of bifurcation and strange attractors. He also provides the context in which chaos can be related to the similarly emergent fields of nonlinearity, complexity and fractals. As an early pioneer of chaos, Lorenz also provides his own story of the human endeavour in developing this new field. He describes his initial encounters with chaos through his study of climate and introduces many of the personalities who contributed early breakthroughs. His seminal paper, "Does the Flap of a Butterfly's Wing in Brazil Set Off a Tornado in Texas?" is published for the first time.
Author: Phil Hine
Publisher:
ISBN: 9781935150664
Category : Body, Mind & Spirit
Languages : en
Pages : 0
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Book Description
This book provides a practical introduction to Chaos Magic, one of the fastest growing areas of Western Occultism. Through it you can change your circumstances, live according to a developing sense of personal responsibility, effect change around you, and stop living as a helpless cog in some clockwork universe. All acts of personal/collective liberation are magical acts. Magic leads us into exhilaration and ecstasy; into insight and understanding; into changing ourselves and the world in which we participate. Through magic we may come to explore the possibilities of freedom.
Author: Leonard Smith
Publisher: Oxford University Press, USA
ISBN: 0192853783
Category : Mathematics
Languages : en
Pages : 201
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Book Description
Chaos exists in systems all around us. This introduction draws in philosophy, literature, and maths to explain Chaos Theory, showing the variety of its applications in the real world, from technology to global warming, politics, and even gambling on the stock market.
Author: Stephen Wiggins
Publisher: Springer Science & Business Media
ISBN: 0387217495
Category : Mathematics
Languages : en
Pages : 860
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Book Description
This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains a detailed glossary of terms. From the reviews: "Will serve as one of the most eminent introductions to the geometric theory of dynamical systems." --Monatshefte für Mathematik
