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
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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: 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: 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
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: 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: Mario Martelli
Publisher: John Wiley & Sons
ISBN: 1118031121
Category : Mathematics
Languages : en
Pages : 347
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Book Description
A timely, accessible introduction to the mathematics of chaos. The past three decades have seen dramatic developments in the theory of dynamical systems, particularly regarding the exploration of chaotic behavior. Complex patterns of even simple processes arising in biology, chemistry, physics, engineering, economics, and a host of other disciplines have been investigated, explained, and utilized. Introduction to Discrete Dynamical Systems and Chaos makes these exciting and important ideas accessible to students and scientists by assuming, as a background, only the standard undergraduate training in calculus and linear algebra. Chaos is introduced at the outset and is then incorporated as an integral part of the theory of discrete dynamical systems in one or more dimensions. Both phase space and parameter space analysis are developed with ample exercises, more than 100 figures, and important practical examples such as the dynamics of atmospheric changes and neural networks. An appendix provides readers with clear guidelines on how to use Mathematica to explore discrete dynamical systems numerically. Selected programs can also be downloaded from a Wiley ftp site (address in preface). Another appendix lists possible projects that can be assigned for classroom investigation. Based on the author's 1993 book, but boasting at least 60% new, revised, and updated material, the present Introduction to Discrete Dynamical Systems and Chaos is a unique and extremely useful resource for all scientists interested in this active and intensely studied field.
Author: Richard Pascale
Publisher: Crown Currency
ISBN: 0609504096
Category : Business & Economics
Languages : en
Pages : 385
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Book Description
Every few years a book changes the way people think about a field. In psychology there is Daniel Goleman's Emotional Intelligence. In science, James Gleick's Chaos. In economics and finance, Burton Malkiel's A Random Walk Down Wall Street. And in business there is now Surfing the Edge of Chaos by Richard T. Pascale, Mark Millemann, and Linda Gioja. Surfing the Edge of Chaos is a brilliant, powerful, and practical book about the parallels between business and nature -- two fields that feature nonstop battles between the forces of tradition and the forces of transformation. It offers a bold new way of thinking about and responding to the personal and strategic challenges everyone in business faces these days. Pascale, Millemann, and Gioja argue that because every business is a living system (not just as metaphor but in reality), the four cornerstone principles of the life sciences are just as true for organizations as they are for species. These principles are: Equilibrium is death. Innovation usually takes place on the edge of chaos. Self-organization and emergence occur naturally. Organizations can only be disturbed, not directed. Using intriguing, in-depth case studies (Sears Roebuck, Monsanto, Royal Dutch Shell, the U.S. Army, British Petroleum, Hewlett Packard, Sun Microsystems), Surfing the Edge of Chaos shows that in business, as in nature, there are no permanent winners. There are just companies and species that either react to change and evolve, or get left behind and become extinct. Some examples: Parallels between Yellowstone National Park and Sears show why equilibrium is a dangerous place in both nature and business. How Monsanto used a "strange attractor" to move to the edge of chaos to alter its identity and transform its culture. The unlikely story of how the U.S. Army embraced the ideas of self-organization and emergence. Why the misapplication of linear logic (reengineering a business or attempting to eradicate predators in nature) will inevitably fail. The stories in Surfing the Edge of Chaos are of pioneering efforts that show how the principles of living systems produce bottom-line impact and profound transformational change. What's really striking about them, though, is their reality. They are about success and failure, breakthroughs and dead-ends. In short, they are like the business you are in and the challenges you face.
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.
