This book is intended to be a complete introduction to Mathematica. It describes essentially all the capabilities of Mathematica, assuming no prior knowledge of the system. Mathematica is a system build on a fairly small set of very powerful principles. This book describes those principles, but by no means spells out all of their implications. This book describes the standard Mathematica kernel, as it exists on all computers that run Mathematica. Most major supported features of the kernel in Mathematica Version 5 are covered in this book. Many important features of the front end are also discussed. This book describes what readers should do when interacting directly with the standard Mathematica kernel and notebook front end. Mathematica is an open software system that can be customized in a wide variety of ways. It is important to realize that this book covers only the full basic Mathematica system. If the system readers are using has been customized in any way, then Mathematica may behave differently from what is described in this book.

"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"--

'In many ways it s the ultimate question in natural science: How does our universe work? Is there a fundamental theory? An incredible amount has been figured out about physics over the past few hundred years. But even with everything that s been done and it's very impressive - we still, after all this time, don t have a truly fundamental theory of physics.' The Wolfram Physics Project is a bold effort to find the fundamental theory of physics. It combines new ideas with the latest research in physics, mathematics and computation in the push to achieve this ultimate goal of science. Written with Stephen Wolfram's characteristic expository flair, this book provides a unique opportunity to learn about a historic initiative in science right as it is happening. A Project to Find the Fundamental Theory of Physics includes: The announcement of the project; A technical introduction; A history section that outlines the backstory which led Wolfram to this point; Background information from computational essays published by the author in 2015 and 2017; Foundational information, including historical notes and an excerpt from Wolfram's; 2002 New York Times Best Seller A New Kind of Science; Hundreds of beautiful full-colour visualisations. Stephen Wolfram is a distinguished scientist and best-selling author, and the creator of some of the world's most respected software systems, including Mathematica, Wolfram|Alpha and Wolfram Language. For more than 30 years he has been the CEO of the global technology company Wolfram Research.

"Ever since it was first formulated a century and a half ago, the Second Law of thermodynamics (or "law of entropy increase") has had an air of mystery about it. Why is it true? Is it even always true? In this book, Stephen Wolfram builds on recent breakthroughs in the foundations of physics to finally provide a resolution to the mystery of the Second Law, elegantly showing how it emerges as a general feature of processes that can be described computationally, as well as their interplay with our computational characteristics as observers. For Wolfram, the effort to understand the Second Law has been a 50-year quest, beginning when he was 12 years old. In the book, Wolfram tells the story of this quest as well as traces the whole remarkable history of the Second Law. Written with great clarity and richly illustrated with both striking modern diagrams and extensive historical material, the book will be of interest to anyone who wants to understand the foundations and origins of one of the most important and widely applied principles of modern science"--

Through his pioneering work in science, technology and language design, Stephen Wolfram has developed his own signature way of thinking about an impressive range of subjects. From science consulting for a Hollywood movie, solving problems of AI ethics, hunting for the source of an unusual polyhedron, communicating with extraterrestrials, to finding the fundamental theory of physics and exploring the digits of pi, Adventures of a Computational Explorer captures the infectious energy and curiosity of one of the great pioneers of the computational world.

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.

This book of thoroughly engaging essays from one of today's most prodigious innovators provides a uniquely personal perspective on the lives and achievements of a selection of intriguing figures from the history of science and technology. Weaving together his immersive interest in people and history with insights gathered from his own experiences, Stephen Wolfram gives an ennobling look at some of the individuals whose ideas and creations have helped shape our world today. Contents includes biographical sketches of: Richard Feynman Kurt Godel Alan Turing John von Neumann George Boole Ada Lovelace Gottfried Leibniz Benoit Mandelbrot Steve Jobs Marvin Minsky Russell Towle Bertrand Russell Alfred Whitehead Richard Crandall Srinivasa Ramanujan Solomon Golomb

""What is mathematics?" is a question that has been debated since antiquity. This book presents a groundbreaking and surprising answer to the question-showing through the concept of the physicalization of metamathematics how both mathematics and physics as experienced by humans can be seen to emerge from the unique underlying computational structure of the recently formulated ruliad. Written with Stephen Wolfram's characteristic expositional flair and richly illustrated with remarkable algorithmic diagrams, the book takes the reader on a unprecedented intellectual journey to the center of some of the deepest questions about mathematics and its nature-and points the way to a new understanding of the foundations and future of mathematics, taking a major step beyond ideas from Plato, Kant, Hilbert, Gödel and others"--

"Combinators have inspired ideas about computation ever since they were first invented in 1920, and in this innovative book, Stephen Wolfram provides a modern view of combinators and their significance. Informed by his work on the computational universe of possible programs and on computational language design, Wolfram explains new and existing ideas about combinators with unique clarity and stunning visualizations, as well as provides insights on their historical connections and the curious story of Moses Schönfinkel, inventor of combinators. Though invented well before Turing machines, combinators have often been viewed as an inaccessibly abstract approach to computation. This book brings them to life as never before in a thought-provoking and broadly accessible exposition of interest across mathematics and computer science, as well as to those concerned with the foundations of formal and computational thinking, and with the history of ideas"--

"Total eclipses of the Sun are rare and dramatic-and on April 8, 2024, one will cross the US. But when exactly will it happen? In this short but richly illustrated book, prominent scientist and computation pioneer Stephen Wolfram tells the triumphant and hard-won story-spanning more than two thousand years-of how science, mathematics and computation have brought us to the point where we can now predict the time of the eclipse to within one second. Learn how the problem of eclipses brought us some of the earliest exact science, the first known computer, contributions from many of the all-time greats of mathematics and physics, and critical technology for the space program. See how all this provides a clear, modern understanding of a phenomenon that has surprised and amazed throughout human history"--