The revised and updated edition includes three completely new chapters on the prediction and control of chaotic systems. It also incorporates new information regarding the solar system and an account of complexity theory. This witty, lucid and engaging book makes the complex mathematics of chaos accessible and entertaining. Presents complex mathematics in an accessible style. Includes three new chapters on prediction in chaotic systems, control of chaotic systems, and on the concept of chaos. Provides a discussion of complexity theory.

Since the dramatic discovery of the mathematical concept of chaos in 1989, the controversy of its contents has settled down. This revised edition of Does God Play Dice? takes a fresh look at its achievements and potential. With a new preface and three completely new chapters, it includes the latest practical applications of chaos theory, such as developing intelligent heart pacemakers. All this provides a fascinating new answer to Einstien's question which provided the title of this book.

This revised edition of Does God Play Dice? takes a fresh look at chaos theory, its achievements, potential and the latest practical applications of chaos theory, including the development of intelligent heart pacemakers.

In this revolutionary and provocative work, David A. Shiang claims to offer final answers to many of humankind's most enduring mysteries. He argues that Einstein was right in rejecting the randomness of quantum theory, and he shows that Stephen Hawking (A Brief History of Time) and Brian Greene (The Fabric of the Cosmos) are mistaken in saying that evidence shows nature to be probabilistic. He takes on Richard Dawkins (The God Delusion) and Daniel Dennett (Breaking the Spell), contending that Darwin's theory of evolution by natural selection is neither scientific nor correct. He also maintains that worry and regret can be overcome, following in the footsteps of T.S. Eliot and other pioneers of the mind. Odds are high that the logical and elegant solutions Shiang presents to our deepest riddles will cause you to rethink your most fundamental beliefs. "Very provocative, erudite, and solidly based on intelligent and logical thinking! Congratulations on making an excellent contribution to understanding the role of a higher intelligence in organizing the affairs of the universe!" - Pat McGovern, IDG Founder and Chairman, Co-founder of The McGovern Institute for Brain Research at MIT "His lucidity and logic are breathtakingly devastating. He is not afraid to defend the mind of God, either.... I cannot overstate the importance of Shiang's work and its deep influence." - Len Klikunas, Cultural Anthropologist

Albert Einstein is often quoted as saying that "God does not play dice," claiming an orderly and predictable structure to the universe. Today, advances and presumptions in the field of quantum mechanics pose a serious challenge to such a position. It's a challenge not only for nuclear physicists, but also for Christian theologians who work to explain God's providence for the world. In Does God Roll Dice? noted Jesuit scholar Joseph Bracken claims that something like "directed chance" (Teilhard de Chardin) is God's normal mode of operation in a world always perilously poised between order and chaos. Bracken adopts the relatively new concept of self-organizing or self-correcting systems out of the natural and social sciences to deal with controversial issues in the ongoing religion and science debate. At the same time he deliberately keeps the language and context of the book suitable for the intelligent non-professional reader.

Uncertainty is everywhere. It lurks in every consideration of the future - the weather, the economy, the sex of an unborn child - even quantities we think that we know such as populations or the transit of the planets contain the possibility of error. It's no wonder that, throughout that history, we have attempted to produce rigidly defined areas of uncertainty - we prefer the surprise party to the surprise asteroid. We began our quest to make certain an uncertain world by reading omens in livers, tea leaves, and the stars. However, over the centuries, driven by curiosity, competition, and a desire be better gamblers, pioneering mathematicians and scientists began to reduce wild uncertainties to tame distributions of probability and statistical inferences. But, even as unknown unknowns became known unknowns, our pessimism made us believe that some problems were unsolvable and our intuition misled us. Worse, as we realized how omnipresent and varied uncertainty is, we encountered chaos, quantum mechanics, and the limitations of our predictive power. Bestselling author Professor Ian Stewart explores the history and mathematics of uncertainty. Touching on gambling, probability, statistics, financial and weather forecasts, censuses, medical studies, chaos, quantum physics, and climate, he makes one thing clear: a reasonable probability is the only certainty.

This title deals with the birth and growth of quantum mechanics. It explains the 'classical dilemma' which faced physics at the start of the 20th century and goes on to show how quantum mechanics emerged and flourished.