"When Stephen Wolfram's groundbreaking A New Kind of Science was published in 2002, its exploration and analysis of the computational universe of simple programs launched a scientific revolution. Twenty years later, the ideas and results of the book have found countless applications across science, technology and elsewhere-including the recent Wolfram Physics Project and its breakthrough in fundamental physics-and the book has indeed spawned what can only be described as a new kind of science. Here Wolfram reflects on the first two decades of A New Kind of Science, discussing some of the major implications that have emerged so far, as well as his far-reaching new thinking building on the conceptual framework developed in A New Kind of Science. Written in Wolfram's popular and accessible style, the book provides a window into one of the most vibrant intellectual developments of our time. Recognizing A New Kind of Science's significance not only in science but also in the arts, the book includes a gallery of pieces created over the past 20 years by artists inspired by the book"--

Are mathematical equations the best way to model nature? For many years it had been assumed that they were. But in the early 1980s, Stephen Wolfram made the radical proposal that one should instead build models that are based directly on simple computer programs. Wolfram made a detailed study of a class of such models known as cellular automata, and discovered a remarkable fact: that even when the underlying rules are very simple, the behavior they produce can be highly complex, and can mimic many features of what we see in nature. And based on this result, Wolfram began a program of research to develop what he called “A Science of Complexity.”The results of Wolfram's work found many applications, from the so-called Wolfram Classification central to fields such as artificial life, to new ideas about cryptography and fluid dynamics. This book is a collection of Wolfram's original papers on cellular automata and complexity. Some of these papers are widely known in the scientific community; others have never been published before. Together, the papers provide a highly readable account of what has become a major new field of science, with important implications for physics, biology, economics, computer science and many other areas.