Some probability problems are so difficult that they stump the smartest mathematicians. But even the hardest of these problems can often be solved with a computer and a Monte Carlo simulation, in which a random-number generator simulates a physical process, such as a million rolls of a pair of dice. This is what Digital Dice is all about: how to get numerical answers to difficult probability problems without having to solve complicated mathematical equations. Popular-math writer Paul Nahin challenges readers to solve twenty-one difficult but fun problems, from determining the odds of coin-flipping games to figuring out the behavior of elevators. Problems build from relatively easy (deciding whether a dishwasher who breaks most of the dishes at a restaurant during a given week is clumsy or just the victim of randomness) to the very difficult (tackling branching processes of the kind that had to be solved by Manhattan Project mathematician Stanislaw Ulam). In his characteristic style, Nahin brings the problems to life with interesting and odd historical anecdotes. Readers learn, for example, not just how to determine the optimal stopping point in any selection process but that astronomer Johannes Kepler selected his second wife by interviewing eleven women. The book shows readers how to write elementary computer codes using any common programming language, and provides solutions and line-by-line walk-throughs of a MATLAB code for each problem. Digital Dice will appeal to anyone who enjoys popular math or computer science. In a new preface, Nahin wittily addresses some of the responses he received to the first edition.

Some probability problems are so difficult that they stump the smartest mathematicians. This text shows readers how to get numerical answers to difficult probability problems without having to solve complicated mathematical questions.

Makeology introduces the emerging landscape of the Maker Movement and its connection to interest-driven learning. While the movement is fueled in part by new tools, technologies, and online communities available to today’s makers, its simultaneous emphasis on engaging the world through design and sharing with others harkens back to early educational predecessors including Froebel, Dewey, Montessori, and Papert. Makers as Learners (Volume 2) highlights leading researchers and practitioners as they discuss and share current perspectives on the Maker movement and research on educational outcomes in makerspaces. Each chapter closes with a set of practical takeaways for educators, researchers, and parents.

While Java texts are plentiful, it's difficult to find one that takes a real-world approach, and encourages novice programmers to build on their Java skills through practical exercise. Written by an expert with 19 experience teaching computer programming, Java Programming Fundamentals presents object-oriented programming by employing examples taken

A group biography of seven enduring and beloved games, and the story of why—and how—we play them. Checkers, backgammon, chess, and Go. Poker, Scrabble, and bridge. These seven games, ancient and modern, fascinate millions of people worldwide. In Seven Games, Oliver Roeder charts their origins and historical importance, the delightful arcana of their rules, and the ways their design makes them pleasurable. Roeder introduces thrilling competitors, such as evangelical minister Marion Tinsley, who across forty years lost only three games of checkers; Shusai, the Master, the last Go champion of imperial Japan, defending tradition against “modern rationalism”; and an IBM engineer who created a backgammon program so capable at self-learning that NASA used it on the space shuttle. He delves into the history and lore of each game: backgammon boards in ancient Egypt, the Indian origins of chess, how certain shells from a particular beach in Japan make the finest white Go stones. Beyond the cultural and personal stories, Roeder explores why games, seemingly trivial pastimes, speak so deeply to the human soul. He introduces an early philosopher of games, the aptly named Bernard Suits, and visits an Oxford cosmologist who has perfected a computer that can effectively play bridge, a game as complicated as human language itself. Throughout, Roeder tells the compelling story of how humans, pursuing scientific glory and competitive advantage, have invented AI programs better than any human player, and what that means for the games—and for us. Funny, fascinating, and profound, Seven Games is a story of obsession, psychology, history, and how play makes us human.

A group of mice - one cat - and a lot of cheese - introduce the number 1 of 10. The series of beautifully illustrated and witty stories, covers all aspects of NUMBER. Characters build number understanding as they move in and out of each other's stories.

Many aspiring game designers have crippling misconceptions about the process involved in creating a game from scratch, believing a "big idea" is all that is needed to get started. But game design requires action as well as thought, and proper training and practice to do so skillfully. In this indispensible guide, a published commercial game designer and longtime teacher offers practical instruction in the art of video and tabletop game design. The topics explored include the varying types of games, vital preliminaries of making a game, the nuts and bolts of devising a game, creating a prototype, testing, designing levels, technical aspects, and assessing nature of the audience. With practice challenges, a list of resources for further exploration, and a glossary of industry terms, this manual is essential for the nascent game designer and offers food for thought for even the most experienced professional.