The Doctrine of Chances: Probabilistic Aspects of Gambling
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.
Structural proof theory is a branch of logic that studies the general structure and properties of logical and mathematical proofs. This book is both a concise introduction to the central results and methods of structural proof theory, and a work of research that will be of interest to specialists. The book is designed to be used by students of philosophy, mathematics, and computer science. A special feature of the volume is a computerized system for developing proofs interactively, downloadable from the web and regularly updated.
A 74 pages mathematics formulary that is intended for physicists and engineers: Basics; Probability and statistics; Calculus; Differential equations; Linear algebra; Complex function theory; Tensor calculus; Numerical mathematics.
The book provides a self-contained and accessible introduction to the subject. It starts with an introduction to integrability of ordinary and partial differential equations.
The Mystery of the Missing Antimatter is at once a history of ideas and an exploration of modern science and the frontiers of human knowledge. This exciting, accessible book reveals how the interplay of theory and experimentation advances our understanding and redefines the questions we ask about our universe.
