Topics covered in the book include linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and much more!The text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, giving the student a chance to solve them without help before proceeding. The text then includes solutions to these problems, through which algebraic techniques are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. In addition to the instructional material, the book contains well over 1000 problems.This book can serve as a complete Algebra I course, and also includes many concepts covered in Algebra II. Middle school students preparing for MATHCOUNTS, high school students preparing for the AMC, and other students seeking to master the fundamentals of algebra will find this book an instrumental part of their mathematics libraries.656About the author: Richard Rusczyk is a co-author of Art of Problem Solving, Volumes 1 and 2, the author of Art of Problem Solving's Introduction to Geometry. He was a national MATHCOUNTS participant, a USA Math Olympiad winner, and is currently director of the USA Mathematical Talent Search.

    Because this collection makes clear the ways in which the philosophy of art relates to and is part of general philosophical positions, it will be an essential sourcebook to students of philosophy, art history, and literary criticism.

    You experience it passing every day when you watch clocks tick, bread toast, and children grow. But most physicists see things differently, from Newton to Einstein to today’s quantum theorists. For them, time isn’t real. You may think you experience time passing, but they say it’s just an illusion.Lee Smolin, author of the controversial bestseller The Trouble with Physics, argues this limited notion of time is holding physics back. It’s time for a major revolution in scientific thought. The reality of time could be the key to the next big breakthrough in theoretical physics.What if the laws of physics themselves were not timeless? What if they could evolve? Time Reborn offers a radical new approach to cosmology that embraces the reality of time and opens up a whole new universe of possibilties. There are few ideas that, like our notion of time, shape our thinking about literally everything, with major implications for physics and beyond—from climate change to the economic crisis. Smolin explains in lively and lucid prose how the true nature of time impacts our world.

    To illustrate the various theories, and to reveal their implications, important current issues such as abortion, euthanasia, the treatment of nonhuman animals, racial discrimination, and nuclear weapons are discussed in depth.

    This sharply intelligent, consistently provocative book takes the reader on an astonishing, thought-provoking voyage into the realm of delightful uncertainty--a world of paradox in which logical argument leads to contradiction and common sense is seemingly rendered irrelevant.

    Widely praised for providing a lucid and historically informed account of Wittgenstein's core philosophical concerns.Demonstrates the continuity between Wittgenstein's early and later writings.Provides a persuasive argument for the unity of Wittgenstein's thought.Kenny also assesses Wittgenstein's influence in the latter part of the twentieth century.Inside:PrefaceAbbreviations in References to Works by WittgensteinBiographical Sketch of Wittgenstein's PhilosophyThe Legacy of Frege & RussellThe Criticism of PrincipiaThe Picture Theory of the PropositionThe Metaphysics of Logical AtomismThe Dismantling of Logical AtomismAnticipation, Intentionality & VerificationUnderstanding, Thinking & MeaningLanguage-GamesPrivate LanguagesOn Scepticism & CertaintyThe Continuity of Wittgenstein's PhilosophySuggestions for Further ReadingIndex

    This ideal guide shows us how mathematics can illuminate the human condition.

    Each entry deals with one fallacy, explaining what the fallacy is, giving and analysing an example, outlining when/where/why the particular fallacy tends to occur and finally showing how you can perpetrate the fallacy on other people in order to win an argument. Originally published to great acclaim in 1985 as "The Book of Fallacy", this is a classic brought up-to-date for a whole new generation.

    While the various contributors to this collection all travel for different reasons, one thing is for certain—they come back with stories. Whether traversing the Arctic by dogsled, attending a surreal film festival in North Korea, or strolling the streets of a fast-changing Havana, their insights into the world and the human condition are illuminating and enthralling, providing an answer: This is why I like to travel.The Best American Travel Writing 2016 includes Michael Chabon, Alice Gregory, Paul Theroux, Dave Eggers, Helen Macdonald, Sara Corbett, Stephanie Pearson,Thomas Chatterton Williams, Pico Iyer, and othersBILL BRYSON, guest editor, is the best-selling author of A Walk in the Woods;  A Short History of Nearly Everything; One Summer: America, 1927; The Road to Little Dribbling; and numerous other books. JASON WILSON, series editor, is the author of Boozehound: On the Trail of the Rare, the Obscure, and the Overrated in Spirits; Spaghetti on the Wall; and the forthcoming Why Wine Matters. He has written for the Washington Post Magazine, The New Yorker, the New York Times, and many other publications, and has won awards for Best Food Column from the Association of Food Journalists four times.

    Do You Think What You Think You Think? presents a dozen quizzes that will reveal what you really think and what it all adds up to (brace yourself: it might not add up to what you expected). Challenging, fun, infuriating - sometimes all at once - this book will enable you to discover the you you never knew you were. Think of it as an MOT for your mind.

    Omens of Millennium traces these cultural phenomena from their ancient and traditional origins to their present-day, millennial manifestations. In addition, it is a personal account of Bloom's Gnosticism. Certain to educate, challenge, and entertain, Omens of Millennium is as fascinating as it is timely.

    But since its birth was announced a century ago in 1898 by William James, pragmatism has played a vital role in almost every area of American intellectual and cultural life, inspiring judges, educators, politicians, poets, and social prophets.Now the major texts of American pragmatism, from William James and John Dewey to Richard Rorty and Cornel West, have been brought together and reprinted unabridged. From the first generation of pragmatists, including the Supreme Court Justice Oliver Wendell Holmes and the founder of semiotics, Charles Sanders Peirce, to the leading figures in the contemporary pragmatist revival, including the philosopher Hilary Putnam, the jurist Richard Posner, and the literary critic Richard Poirier, all the contributors to this volume are remarkable for the wit and vigor of their prose and the mind-clearing force of their ideas. Edited and with an Introduction by Louis Menand, Pragmatism: A Reader will provide both the general reader and the student of American culture with excitement and pleasure.

    Originally published in journals between 1884 and 1906, these 12 essays were selected by William James to illustrate the doctrine he called "radical empiricism" — a concept that made him the center of a new philosophic approach.Proclaiming experience to be the ultimate reality, James explores the applications of experience to the problem of relations, the role of feeling in experience, and the nature of truth. He argues in favor of a pluralistic universe, denying that experience can be defined in terms of an absolute force determining the relationships between things and events. Relationships, regardless of whether they hold things together or apart, are as real as the things themselves — their functions are real, and there are no hidden factors responsible for life's harmonies and dissonances.Seminal essays in this collection include "Does Consciousness Exist?: "The Essence of Humanism," and "Absolutism and Empiricism." In addition, this edition features a new translation of "On the Notion of Consciousness" — the first English rendering of the essay, which was written in French. Indispensable to an understanding of the great philosopher's other works, this systematic and compact treatment functions equally well in and out of the classroom.

    Tracing the exchange of ideas between history's key philosophers, The Great Conversation: A Historical Introduction to Philosophy, Fifth Edition, demonstrates that while constructing an argument or making a claim, one philosopher almost always has others in mind. The book addresses the fundamental questions of human life: Who are we? What can we know? How should we live? and What sort of reality do we inhabit? The fifth edition retains the distinctive feature of previous editions: author Norman Melchert provides a generous selection of excerpts from major philosophical works and makes them more easily understandable to students with his lucid and engaging explanations. Ranging from the Pre-Socratics to Derrida and Quine, the selections are organized historically and include four complete works: Plato's Euthyphro, Apology, and Crito, and Descartes' Meditations on First Philosophy. The author's commentary offers a rich intellectual and cultural context for the philosophical ideas conveyed in the excerpts. Extensive cross-referencing shows students how philosophers respond appreciatively or critically to the thoughts of other philosophers. The text is enhanced by two types of exercises--Basic Questions and For Further Thought--and more than sixty illustrations.New to the Fifth Edition: * A new chapter (25) on Simone de Beauvoir and her contributions to philosophy * New material on Buddhist, Muslim, and Jewish thinkers, including profiles of the Buddha, Avicenna (Ibn Sina), Averro�s (Ibn Rushd), and Maimonides (Moses ben Maimon) * A new profile of Jean-Jacques Rousseau * Improved translations of several of Plato's works, including Protagoras, Gorgias, Phaedo, Symposium, Meno, and the Republic * Review questions that are now dispersed throughout the chapters (instead of at chapter ends) to follow relevant passages and facilitate classroom discussion * Thirteen new images, including seven explanatory cartoons that help students understand key concepts * A revised Instructor's Manual and Test Bank--available both on CD and in a printed version--containing essential points, teaching suggestions, and multiple-choice, short-answer, and essay exam questionsThe Great Conversation, Fifth Edition, is also available in two paperback volumes to suit your course needs. Volume I: Pre-Socratics through Descartes includes chapters 1-13 of the combined volume, while Volume II: Descartes through Derrida and Quine includes chapters 12-26.

    Each 3000-word essay simply and concisely examines a question that has eternally perplexed enquiring minds, and provides answers from history's great thinkers. This ambitious project is a unique distillation of humanity's best ideas. In Big Questions: Philosophy, bestselling author Simon Blackburn addresses 20 essential questions.