Numbers Rule

The author takes the general reader on a tour of the mathematical puzzles and paradoxes inherent in voting systems, such as the Alabama Paradox, in which an increase in the number of seats in the Congress could actually lead to a reduced number of representatives for a state, and the Condorcet Paradox, which demonstrates that the winner of elections featuring more than two candidates does not necessarily reflect majority preferences. Szpiro takes a roughly chronological approach to the topic, traveling from ancient Greece to the present and, in addition to offering explanations of the various mathematical conundrums of elections and voting, also offers biographical details on the mathematicians and other thinkers who thought about them, including Plato, Pliny the Younger, Pierre Simon Laplace, Thomas Jefferson, John von Neumann, and Kenneth Arrow.

We live in a world of numbers and mathematics, and so we need to work with numbers and some math in almost everything we do, to control our happiness and the direction of our lives. The purpose of Coming Home to Math is to make adults with little technical training more comfortable with math, in using it and enjoying it, and to allay their fears of math, enable their numerical thinking, and convince them that math is fun. A range of important math concepts are presented and explained in simple terms, mostly by using arithmetic, with frequent connections to the real world of personal financial matters, health, gambling, and popular culture.As such, Coming Home to Math is geared to making the general, non-specialist, adult public more comfortable with math, though not to formally train them for new careers or to teach those first learning math. It may also be helpful to liberal arts college students who need to tackle more technical subjects. The range of topics covered may also appeal to scholars who are more math savvy, though it may not challenge them.

Searchable electronic version of print product with fully hyperlinked cross-references.

Rules – the clearest, most explored and best understood form of knowledge representation – are particularly important for data mining, as they offer the best tradeoff between human and machine understandability. This book presents the fundamentals of rule learning as investigated in classical machine learning and modern data mining. It introduces a feature-based view, as a unifying framework for propositional and relational rule learning, thus bridging the gap between attribute-value learning and inductive logic programming, and providing complete coverage of most important elements of rule learning. The book can be used as a textbook for teaching machine learning, as well as a comprehensive reference to research in the field of inductive rule learning. As such, it targets students, researchers and developers of rule learning algorithms, presenting the fundamental rule learning concepts in sufficient breadth and depth to enable the reader to understand, develop and apply rule learning techniques to real-world data.

Rule collectors rejoice! In A Source Book for Rule Collectors with Rule Concordance and Value Guide, Philip Stanley has crafted a masterfully comprehensive illustrated reference guide to the history, uses, and values of measuring instruments. ASource Book for Rule Collectors includes reprints of the best articles from the past 100 years dealing with rules and measurement; extensive coverage of the materials, construction, graduations and uses of rules; a detailed table of the European measures used before the metric system, for identifying rules by size and county of origin; a thorough cataloging of rule accessories; and a complete bibliography of reprints, articles, books, and publications dealing with measuring instruments. The included Rule Concordance and Value Guide gives complete information for identifying and comparing all rules by all major American makers; estimates for each rule’s value based on condition and maker; extensive information on rule value, including condition, selling environment, and charisma. This book is an essential reference. Rule enthusiasts will find the combination a pleasure to read. Mr. Stanley’s breadth of knowledge and his regard for the rules he discusses are apparent throughout. For the antique tool dealer, rule collector, and student of the history of technology, this book is essential.