Mathematics & Actuarial Science

Risk has become one of the main topics in fields as diverse as engineering, medicine and economics, and it is also studied by social scientists, psychologists and legal scholars. But the topic of risk also leads to more fundamental questions such as: What is risk? What can decision theory contribute to the analysis of risk? This handbook provides for an overview into key topics in a major new field of research.

The Encyclopedia of Research Design is a collection of entries written by scholars in the field of research design, the discipline of how to plan and conduct empirical research, including the use of both quantitative and qualitative methods.

The goal of this encyclopedia is to help revive statistics education in developing countries. Written by 619 contributors from 105 countries, its joint vision is to show not only that Statistics is a “grammar of science”, but also a fascinating, attractive, stimulating, beautiful, almost magical discipline with plenty of room for fundamental improvements.

This Encyclopedia provides a saga of history of ideas, discovery and invention in the natural and mathematical sciences over 100 generations of great thinkers from Thales to Feyman. It blends the essential historical data (chronology, biographies, major background, political and economical events, etc.) together with science proper (principles, laws, experiments, observations, theories, equations, etc.).

This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations.

LaTeX is a free, automated state-of-the-art typesetting system. This book teaches all the ins and outs of LaTeX which are needed to write an article, report, thesis, or book.

R provides a wider range of analytical and graphical commands than any other software. The fact that this level of power is available free of charge has dramatically changed the landscape of research software.

Three centuries ago Montmort and De Moivre published two of the first books on probability theory, then called the doctrine of chances, emphasizing its most important application at that time, games of chance. This volume, on the probabilistic aspects of gambling, is a modern version of those classics. While covering the classical material such as house advantage and gambler's ruin, it also takes up such 20th-century topics as martingales, Markov chains, game theory, bold play, and optimal proportional play.