The application of graph theory to modelling systems began in several scientific areas, among them statistical physics (the study of large particle systems), genetics (studying inheritable properties of natural species), and interactions in contingency tables. The use of graphical models in statistics has increased considerably in these and other areas such as artificial intelligence, and the theory has been greatly developed and extended. This is the first comprehensive and authoritative account of the theory of graphical models.
This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.
Engineering Invention: Frank J. Sprague and the U.S. Electrical Industry
Over the course of a little less than twenty years, inventor Frank J. Sprague (1857-1934) achieved an astonishing series of technological breakthroughs—from pioneering work in self-governing motors to developing the first full-scale operational electric railway system—all while commercializing his inventions and promoting them (and himself as their inventor) to financial backers and the public.
The Riddle of Scheherazade: And Other Amazing Puzzles, Ancient and Modern
Once again in trouble with the king and in danger of losing her head, clever Scheherazade teases the king with a selection of 225 devious mathematical and logic puzzles, including Go+a5delian brain twisters, paradoxes, metapuzzles, logic tricks, number games, and more. 10,000 first printing."
In these mathematical and logic puzzles, truth-telling knights battle lying knaves; a philosopher-logician named George falls in love with Oona, flighty bird-girl of the South Pacific; Inspector Craig and timid, conceited or modest reasoners match wits. Using such fictional enticements, the author of What Is the Name of This Book? and To Mock a Mockingbird steers us through the logical thickets of Kurt Godel's famous Incompleteness Theorem, which holds that mathematical systems can never prove their own consistency.
