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    The study of knots has led to important applications in DNA research and the synthesis of new molecules, and has had a significant impact on statistical mechanics and quantum field theory. Colin Adams’s The Knot Book is the first book to make cutting-edge research in knot theory accessible to a non-specialist audience. Starting with the simplest knots, Adams guides readers through increasingly more intricate twists and turns of knot theory, exploring problems and theorems mathematicians can now solve, as well as those that remain open. He also explores how knot theory is providing important insights in biology, chemistry, physics, and other fields. The new paperback edition has been updated to include the latest research results, and includes hundreds of illustrations of knots, as well as worked examples, exercises and problems. With a simple piece of string, an elementary mathematical background, and The Knot Book, anyone can start learning about some of the most advanced ideas in contemporary mathematics.

    In a country where “money has won everywhere,” but the essential promise of democracy still beckons, these poems uncover our troubled psyches and show us what it might mean to be “Free Again.”

    Though the answers may seem simple, their profound implications make the prisoner's dilemma one of the great unifying concepts of science. Watching players bluff in a poker game inspired John von Neumann--father of the modern computer and one of the sharpest minds of the century--to construct game theory, a mathematical study of conflict and deception. Game theory was readily embraced at the RAND Corporation, the archetypical think tank charged with formulating military strategy for the atomic age, and in 1950 two RAND scientists made a momentous discovery.Called the prisoner's dilemma, it is a disturbing and mind-bending game where two or more people may betray the common good for individual gain. Introduced shortly after the Soviet Union acquired the atomic bomb, the prisoner's dilemma quickly became a popular allegory of the nuclear arms race. Intellectuals such as von Neumann and Bertrand Russell joined military and political leaders in rallying to the preventive war movement, which advocated a nuclear first strike against the Soviet Union. Though the Truman administration rejected preventive war the United States entered into an arms race with the Soviets and game theory developed into a controversial tool of public policy--alternately accused of justifying arms races and touted as the only hope of preventing them.A masterful work of science writing, Prisoner's Dilemma weaves together a biography of the brilliant and tragic von Neumann, a history of pivotal phases of the cold war, and an investigation of game theory's far-reaching influence on public policy today. Most important, Prisoner's Dilemma is the incisive story of a revolutionary idea that has been hailed as a landmark of twentieth-century thought.

    With exceptional clarity, Franz n gives careful, non-technical explanations both of what those theorems say and, more importantly, what they do not. No other book aims, as his does, to address in detail the misunderstandings and abuses of the incompleteness theorems that are so rife in popular discussions of their significance. As an antidote to the many spurious appeals to incompleteness in theological, anti-mechanist and post-modernist debates, it is a valuable addition to the literature." --- John W. Dawson, author of "Logical Dilemmas: The Life and Work of Kurt G del

    Book One lays out indisputable evidence the brain does not create your consciousness, and that when your body dies, your consciousness will be released into a mental realm. It explains what you can expect to experience during the first minutes until you come to a border near death survivors agree is a point of no return. Book Two will lead you past that border to explore that Shakespeare called, “The undiscovered country,” a mental realm each individual creates for him or herself. It also makes suggestions about actions to take now to insure the best possible outcome after death. Read what reviewers had to say about Book I: “Extraordinary findings in Stephen Martin’s newest book, Life After Death, Powerful Evidence You Will Never Die, will keep readers on the edge of their seats as they burn through this well written book’s pages. . . .” — Mark Davis, M.D. “If you only read one book about the afterlife, I highly recommend this one. It’s an extensive research project and is quite understandable for the average reader. . . .” — Alan Halverson “I couldn't put this book down. I'm 34 years old with no major health issues and have been recently dealing with a lot of anxiety over death. . . .” — Nicole Ryan “This is one of the most powerful books on this subject that I have ever read. Very inspiring.” — C. Ann Clarkon “Very accessible and well-written overview of recent research supporting evidence of consciousness existing independent of the brain; as well as its implications for survival of awareness after physical death. . . .” — Keith Park, Ph.D.

    Introductory Graph Theory presents a nontechnical introduction to this exciting field in a clear, lively, and informative style. Author Gary Chartrand covers the important elementary topics of graph theory and its applications. In addition, he presents a large variety of proofs designed to strengthen mathematical techniques and offers challenging opportunities to have fun with mathematics. Ten major topics — profusely illustrated — include: Mathematical Models, Elementary Concepts of Graph Theory, Transportation Problems, Connection Problems, Party Problems, Digraphs and Mathematical Models, Games and Puzzles, Graphs and Social Psychology, Planar Graphs and Coloring Problems, and Graphs and Other Mathematics. A useful Appendix covers Sets, Relations, Functions, and Proofs, and a section devoted to exercises — with answers, hints, and solutions — is especially valuable to anyone encountering graph theory for the first time. Undergraduate mathematics students at every level, puzzlists, and mathematical hobbyists will find well-organized coverage of the fundamentals of graph theory in this highly readable and thoroughly enjoyable book.

    From randomized clinical trials in medical research, to statistical models of risk in banking and hedge fund industries, to the statistical tools used to probe vast astronomical databases, the field of statistics has become centrally important to how we understand our world. But the discipline underlying all these is not the dull statistics of the popular imagination. Long gone are the days of manual arithmetic manipulation. Nowadays statistics is a dynamic discipline, revolutionized by the computer, which uses advanced software tools to probe numerical data, seeking structures, patterns, and relationships. This Very Short Introduction sets the study of statistics in context, describing its history and giving examples of its impact, summarizes methods of gathering and evaluating data, and explains the role played by the science of chance, of probability, in statistical methods. The book also explores deep philosophical issues of induction--how we use statistics to discern the true nature of reality from the limited observations we necessarily must make.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

    The Text Was Designed To Familiarize Students With The Foundations And Principles Of Computer Science And To Strengthen The Students' Ability To Carry Out Formal And Rigorous Mathematical Arguments. In The New Fourth Edition, Author Peter Linz Has Offered A Straightforward, Uncomplicated Treatment Of Formal Languages And Automata And Avoids Excessive Mathematical Detail So That Students May Focus On And Understand The Underlying Principles. In An Effort To Further The Accessibility And Comprehension Of The Text, The Author Has Added New Illustrative Examples Throughout.

    Never again will you order the Poisson Distribution in a French restaurant!This updated version features all new material.

    The author defines all terms, points out potential pitfalls in algebraic calculation, and makes problem solving a fun activity. New in this edition are painless approaches to understanding and graphing linear equations, solving systems of linear inequalities, and graphing quadratic equations. Barron’s popular Painless Series of study guides for middle school and high school students offer a lighthearted, often humorous approach to their subjects, transforming details that might once have seemed boring or difficult into a series of interesting and mentally challenging ideas. Most titles in the series feature many fun-to-solve “Brain Tickler” problems with answers at the end of each chapter.

    And so Ben, a divorced TV journalist, Ronnie, a high-powered CEO, and Michael, a high school English teacher, take leave of their families and jobs for a cross-country road trip to remember. Along the way, they see baseball games, state fairs, Elvis's Las Vegas hotel suite, and a convention of dental hygienists, and not only experience all of America in full bloom, but discover new truths about themselves. All Summer Long is a wise, funny, touching story you'll slurp down like a cold milkshake from the drive-in.

    For over twenty years, the National Poetry Series has discovered many new and emerging voices and has been instrumental in launching the careers of poets and writers such as Billy Collins, Mark Doty, Denis Johnson, Cole Swensen, Thylias Moss, Mark Levine, and Dionisio Martinez.

    Beginning with his viral hit, "Violence is Golden," A Sky Without Eagles assembles Donovan's best standalone commentary from 2010 through 2014. In his straightforward but disarmingly sincere style, Donovan channels the widespread disillusionment and frustration of men in the increasingly restrictive developed world. A Sky Without Eagles covers race realism, criticizes feminism's degenerative influence on masculinity, and in the title speech, laments the lack of virtue and nobility in American leadership.Donovan wrote three new essays for A Sky Without Eagles. The first, "Train For Honor," deals with his search for meaning in strength training."CROM!" sums up Donovan's agnostic take on what kind of religion men need today. This collection concludes with "The Brotherhood" -- Donovan's imagining of a better, manlier and more spiritually unified tribe of men.

    The complete works of an extraordinary poet who consistently refines the notion of what constitutes an American sound.