The Essence Of Chaos

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.

Paul Rand's stature as one of the world's leading graphic designers is incontestable. For half a century his pioneering work in the field of advertising design and typography has exerted a profound influence on the design profession; he almost single-handedly transformed "commercial art" from a practice that catered to the lowest common denominator of taste to one that could assert its place among the other fine arts. Among the numerous clients for whom he has been a consultant and/or designer are the American Broadcasting Company, IBM Corporation, and Westinghouse Electric Corporation. In this witty and instructive book, Paul Rand speaks about the contemporary practice of graphic design, explaining the process and passion that foster good design and indicting faddism and trendiness. Illustrating his ideas with examples of his own stunning graphic work as well as with the work of artists he admires, Rand discusses such topics as: the values on which aesthetic judgments are based; the part played by intuition in good design; the proper relationship between management and designers; the place of market research; how and when to use computers in the production of a design; choosing a typeface; principles of book design; and the thought processes that lead to a final design. The centerpiece of the book consists of seven design portfolios - with diagrams and ultimate choices - that Rand used to present his logos to clients such as Next, IDEO, and IBM.

From an internationally acclaimed economist, a provocative call to jump-start economic growth by aggressively overhauling liberal democracy Around the world, people who are angry at stagnant wages and growing inequality have rebelled against established governments and turned to political extremes. Liberal democracy, history's greatest engine of growth, now struggles to overcome unprecedented economic headwinds--from aging populations to scarce resources to unsustainable debt burdens. Hobbled by short-term thinking and ideological dogma, democracies risk falling prey to nationalism and protectionism that will deliver declining living standards. In Edge of Chaos, Dambisa Moyo shows why economic growth is essential to global stability, and why liberal democracies are failing to produce it today. Rather than turning away from democracy, she argues, we must fundamentally reform it. Edge of Chaos presents a radical blueprint for change in order to galvanize growth and ensure the survival of democracy in the twenty-first century.

This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

This text aims to bridge the gap between non-mathematical popular treatments and the distinctly mathematical publications that non- mathematicians find so difficult to penetrate. The author provides understandable derivations or explanations of many key concepts, such as Kolmogrov-Sinai entropy, dimensions, Fourier analysis, and Lyapunov exponents.

A pioneering book that shows how the two great themes of classic science, order and chaos, are being reconciled in a new and unexpected synthesis Order Out of Chaos is a sweeping critique of the discordant landscape of modern scientific knowledge. In this landmark book, Nobel Laureate Ilya Prigogine and acclaimed philosopher Isabelle Stengers offer an exciting and accessible account of the philosophical implications of thermodynamics. Prigogine and Stengers bring contradictory philosophies of time and chance into a novel and ambitious synthesis. Since its first publication in France in 1978, this book has sparked debate among physicists, philosophers, literary critics and historians.