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.

    Here Nozick continues his search for the connections between philosophy and ordinary experience. In the lively and accessible style that his readers have come to expect, he offers a bold theory of rationality, the one characteristic deemed to fix humanity's specialness. What are principles for? asks Nozick. We could act simply on whim, or maximize our self-interest and recommend that others do the same. As Nozick explores rationality of decision and rationality of belief, he shows how principles actually function in our day-to-day thinking and in our efforts to live peacefully and productively with each other.Throughout, the book combines daring speculations with detailed investigations to portray the nature and status of rationality and the essential role that imagination plays in this singular human aptitude.

    One of the simplest—and the best—was suggested by the philosopher John Campbell: “Thinking in slow motion.” But, for most people, slow motion is only appealing in small doses. A whole movie in slow-mo would be one for the art gallery, not the multiplex. This is the problem that faces those who want to write about philosophy for a broad readership: a certain amount of fast-forward is needed, but if you go too fast you’ll stop doing philosophy altogether.John D Caputo’s entertaining investigation into the nature of truth gets the balance right. His project is to show how postmodernism can help us think through contemporary debates about religion, relativism and the legacy of the Enlightenment. Rather than dividing the world into strict categories such as the rational and irrational, Caputo’s postmodern approach tries to widen our understanding of truth. He is not a naive relativist, however. “I am not arguing against the truth of propositions,” he says. “I am arguing that truth cannot be confined to propositions.” This means taking seriously the truths one encounters in novels, say, as well as religious narratives.As this last idea suggests, there is plenty in Truth to annoy Richard Dawkins, as well as many contemporary analytic philosophers—but the book is better off for its boldness. Rather than pre-empting every counter-attack, Caputo sets out his case confidently, enlisting Nietzsche, Kierkegaard and Derrida as his allies. (His explanation of Derrida’s thought is one of the clearest that I’ve read.) This book does not claim to be the final word on truth—indeed Caputo believes the quest for an ultimate and unchanging definition of truth is doomed to failure—but it might be the starting point for a more sophisticated discussion.

    That wish has come true for us. Now what? In this radically illuminating book, Alan Cohen delves into one of the world’s most venerated wisdom texts for answers and brings the lofty and enigmatic concepts of the Tao Te Ching down to earth in fresh, easy-to-grasp language with practical, personal examples we can use to uplift our daily lives.Most other interpretations of the Tao march through the stanzas one by one. Here Alan Cohen calls forth the ancient verses around themes that are central to our modern lives —from love to work to the lessons we learn from pain. Then he brings each message to life in short vignettes where he imagines himself a student of Lao Tse and interacts with the master directly and intimately. He invites you to join the ancient sage and the contemporary seeker as they wend their way through the challenges and triumphs of the same journey you’re taking yourself.

    Dip into any chapter and you will find lively scenarios and dialogues to take you through philosophical puzzles ancient and modern, involving virtual reality, science fiction and a host of characters from this and other planets. The text is interspersed on every page with lively cartoons, and there is a list of philosophical jargon at the end..Stephen Law has a gift for communicating complex ideas. He offers few answers, but his unstuffy, highly personal approach will have the reader thinking and arguing with as much pleasure as he does himself.

    With the stroke of a pen the Jesuit fathers banned the doctrine of infinitesimals, announcing that it could never be taught or even mentioned. The concept was deemed dangerous and subversive, a threat to the belief that the world was an orderly place, governed by a strict and unchanging set of rules. If infinitesimals were ever accepted, the Jesuits feared, the entire world would be plunged into chaos.In Infinitesimal, the award-winning historian Amir Alexander exposes the deep-seated reasons behind the rulings of the Jesuits and shows how the doctrine persisted, becoming the foundation of calculus and much of modern mathematics and technology. Indeed, not everyone agreed with the Jesuits. Philosophers, scientists, and mathematicians across Europe embraced infinitesimals as the key to scientific progress, freedom of thought, and a more tolerant society. As Alexander reveals, it wasn't long before the two camps set off on a war that pitted Europe's forces of hierarchy and order against those of pluralism and change.The story takes us from the bloody battlefields of Europe's religious wars and the English Civil War and into the lives of the greatest mathematicians and philosophers of the day, including Galileo and Isaac Newton, Cardinal Bellarmine and Thomas Hobbes, and Christopher Clavius and John Wallis. In Italy, the defeat of the infinitely small signaled an end to that land's reign as the cultural heart of Europe, and in England, the triumph of infinitesimals helped launch the island nation on a course that would make it the world's first modern state.From the imperial cities of Germany to the green hills of Surrey, from the papal palace in Rome to the halls of the Royal Society of London, Alexander demonstrates how a disagreement over a mathematical concept became a contest over the heavens and the earth. The legitimacy of popes and kings, as well as our beliefs in human liberty and progressive science, were at stake-the soul of the modern world hinged on the infinitesimal.

    Fully stocked with solved problemsN950 of themNit shows you how to solve problems that may not have been fully explained in class. Plus you ge"

    The emphasis is, instead, on the myriad ways in which the universe presents itself to us--and how, as observers and participants in its processes, we respond to it. "Life, like a dome of many-colored glass," wrote Percy Bysshe Shelley, "stains the white radiance of eternity." The author seeks here to explore the variety that gives life its beauty.Taken from Dyson's recent public lectures--delivered to audiences with no specialized knowledge in hard sciences--the book begins with a consideration of the practical and political questions surrounding biotechnology. As he seeks how best to explain the place of life in the universe, Dyson then moves from the ethical to the purely scientific. The book concludes with an attempt to understand the implications of biology for philosophy and religion.The pieces in this collection touch on numerous disciplines, from astronomy and ecology to neurology and theology, speaking to the lay reader as well as to the scientist. As always, Dyson's view of human nature and behavior is balanced, and his predictions of a world to come serve primarily as a means for thinking about the world as it is today.

    Magee does a great job of balancing the various aspects of the history of philosophy that may be of interest to different readers. Each philosopher is covered in a section of a few pages outlining the thinker's major ideas, but also containing sidebars with famous quotes, major works, related topics and historical notes. The book is organized chronologically and philosophers are grouped into intellectual movements, introduced and expanded by insets. This format allows the book to be used as a point reference on a single thinker or school of thought, but also reads well from cover to cover as the "story of thought". If you are looking for a good introduction to philosophy, it would be hard to find a more complete, accessible, and universally appealing resource.

    Travel back to ancient Greece with Professor Emeritus of Philosophy Donald R. Moor and author Robert M. Pirsig ("Zen and the Art of Motorcycle Maintenance") to meet this legendary thinker. In addition to expanding upon his famous allegory of the cave, Plato talks about learning through dialogue, the primacy of good and the price of wrong doing, democracy, freedom and censorship, women's equality, love, and mathematics, and the search for truth.

    Enjoy a thrilling intergalactic tour as Andrew Thomas redefines the force of gravity and introduces a brave new view of the universe!

    And yet few topics are more basic to human life. We are inquisitive creatures by nature, and the unending quest for truth leads us to raise difficult questions about the quest itself. What are the conditions, sources and limits of our knowledge? Do our beliefs need to be rationally justified? Can we have certainty? In this primer on epistemology, James Dew and Mark Foreman guide students through this discipline in philosophy. By asking basic questions and using clear, jargon-free language, they provide an entry into some of the most important issues in contemporary philosophy.

    But now, with the aid of high-speed computers, scientists have been able to penetrate a reality that is changing the way we perceive the universe. Their findings -- the basis for chaos theory -- represent one of the most exciting scientific pursuits of our time.No better introduction to this find could be found than John Briggs and F. David Peat's Turbulent Mirror. Together, they explore the many faces of chaos and reveal how its law direct most of the processes of everyday life and how it appears that everything in the universe is interconnected -- discovering an "emerging science of wholeness."Turbulent Mirror introduces us to the scientists involved in study this endlessly strange field; to the theories that are turning our perception of the world on its head; and to the discoveries in mathematics, biology, and physics that are heralding a revolution more profound than the one responsible for producing the atomic bomb. With practical applications ranging from the control of traffic flow and the development of artifical intelligence to the treatment of heart attacks and schizophrenia, chaos promises to be an increasingly rewarding area of inquiry -- of interest to everyone.

    This account of Heidegger's personal relations, originally published in German and extensively corrected by the author for this translation, enlarges our understanding of a complex figure.A well-known art historian and an intimate friend of Heidegger's, Heinrich Wiegand Petzet provides a rich portrait of Heidegger that is part memoir, part biography, and part cultural history. By recounting chronologically a series of encounters between the two friends from their meeting in 1929 until the philosopher's death in 1976, as well as between Heidegger and other contemporaries, Petzet reveals not only new aspects of Heidegger's thought and attitudes toward the historical and intellectual events of his time but also the greater cultural and social context in which he articulated his thought.

    Imagine that you face three doors, behind one of which is a prize. You choose one but do not open it. The host--call him Monty Hall--opens a different door, alwayschoosing one he knows to be empty. Left with two doors, will you do better by sticking with your first choice, or by switching to the other remaining door? In this light-hearted yet ultimately serious book, Jason Rosenhouse explores the history of this fascinating puzzle. Using a minimum ofmathematics (and none at all for much of the book), he shows how the problem has fascinated philosophers, psychologists, and many others, and examines the many variations that have appeared over the years. As Rosenhouse demonstrates, the Monty Hall Problem illuminates fundamental mathematical issuesand has abiding philosophical implications. Perhaps most important, he writes, the problem opens a window on our cognitive difficulties in reasoning about uncertainty.