Chaotic Simplicity embraces hope--hope that there can be simple solutions to your everyday mental health struggles, hope that through all the chaos of life, you have a Savior who loves you and is supporting you. Addressing topics from the occasional meltdown to self-esteem, self-awareness, and the eternal perspective, this direct, down-to-earth book gives insight on everyday coping mechanisms that can be implemented to attain peace. With a little humor, Chaotic Simplicity shows that as we combine specific mental health practices with principles exemplified by the Savior, we can take back control of our minds and live a life of little chaos.

'Gribbin takes us through the basics with his customary talent for accessibility and clarity' Sunday Times The world around us can be a complex, confusing place. Earthquakes happen without warning, stock markets fluctuate, weather forecasters seldom seem to get it right - even other people continue to baffle us. How do we make sense of it all? In fact, John Gribbin reveals, our seemingly random universe is actually built on simple laws of cause and effect that can explain why, for example, just one vehicle braking can cause a traffic jam; why wild storms result from a slight atmospheric change; even how we evolved from the most basic materials. Like a zen painting, a fractal image or the pattern on a butterfly's wings, simple elements form the bedrock of a sophisticated whole. Synthesizing chaos and complexity theory for the perplexed, Deep Simplicity brilliantly illuminates the harmony underlying our existence.

Simplicity presents a new, wide-ranging philosophical theory, one that concerns how reality is conceived. In so doing it also provides a new logic with which to approach conceptual situations. In this book, Craig Dilworth replaces the dualistic, true/false approach of formal logic with a three-part basis for thought. This basis consists of the categories of simplicity, complexity, and nothingness. The category of simplicity is paradoxical, while that of complexity is unproblematic, and that of nothingness is self-contradictory. When applied to ontological categories, such as those of substance, self, or causality, these categories of reason can resolve, rather than solve, intellectual issues. The notion of perspective is integral to the simplicity way of thinking. A particular entity--such as the self--may be conceived as simple in one perspective, while being complex or nothing in another. Combined with the categories of the simplicity theory, Dilworth uses the notion of perspective to reveal a type of conceptual conflict that differs from contradiction. So, for example, simplicity better represents the relation between competing scientific theories--such as the wave and particle theories of radiation--as a form of perspectival incompatibility. The book distinguishes between two forms of simplicity: analytic and synthetic, which can respectively be conceived of as a point and a whole. Again, the notion of perspective is employed: what is analytically simple in one perspective may well be synthetically simple in another. In this book, the simplicity way of thinking is applied to intellectual issues in philosophy, set theory, and physics. These applications show how simplicity can provide real insight into a wide variety of conceptually complex situations.

Do we live in a simple or a complex universe? Jack Cohen and Ian Stewart explore the ability of complicated rules to generate simple behaviour in nature through 'the collapse of chaos'. 'The most startling, thought-provoking book I've read all year. I was pleased to learn that most of the things I thought I knew were wrong' -- Terry Pratchett

Over the past two decades, no field of scientific inquiry has had a more striking impact across a wide array of disciplines–from biology to physics, computing to meteorology–than that known as chaos and complexity, the study of complex systems. Now astrophysicist John Gribbin draws on his expertise to explore, in prose that communicates not only the wonder but the substance of cutting-edge science, the principles behind chaos and complexity. He reveals the remarkable ways these two revolutionary theories have been applied over the last twenty years to explain all sorts of phenomena–from weather patterns to mass extinctions. Grounding these paradigm-shifting ideas in their historical context, Gribbin also traces their development from Newton to Darwin to Lorenz, Prigogine, and Lovelock, demonstrating how–far from overturning all that has gone before–chaos and complexity are the triumphant extensions of simple scientific laws. Ultimately, Gribbin illustrates how chaos and complexity permeate the universe on every scale, governing the evolution of life and galaxies alike.

A clear and accessible discussion of the ideas and issues behind chaotic dynamics.

This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rössler, and many others, but it goes on to show that there are many other systems that are simpler and more elegant. Many of these systems have been only recently discovered and are not widely known. Most cases include plots of the attractor and calculations of the spectra of Lyapunov exponents. Some important cases include graphs showing the route to chaos. The book includes many cases not previously published as well as examples of simple electronic circuits that exhibit chaos.No existing book thus far focuses on mathematically elegant chaotic systems. This book should therefore be of interest to chaos researchers looking for simple systems to use in their studies, to instructors who want examples to teach and motivate students, and to students doing independent study.