Topics covered in the book include the properties of arithmetic, exponents, primes and divisors, fractions, equations and inequalities, decimals, ratios and proportions, unit conversions and rates, percents, square roots, basic geometry (angles, perimeter, area, triangles, and quadrilaterals), statistics, counting and probability, and 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. The solutions manual (sold separately) contains full solutions to all of the problems, not just answers. This book can serve as a complete Prealgebra course. This text is supplemented by free videos and a free learning system at the publisher's website.

    Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.Brought up to date with a new chapter by Ian Stewart, What is Mathematics? Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.Formal mathematics is like spelling and grammar - a matter of the correct application of local rules. Meaningful mathematics is like journalism - it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature - it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature - it opens a window onto the world of mathematics for anyone interested to view.

    Its journey through the headline history of psychology presents 40 of the most famous studies in the history of the science, and subsequent follow-up studies that expanded their findings and relevance. Readers are granted a valuable insider's look at the studies that continue to be cited most frequently, stirred up the most controversy when they were published, sparked the most subsequent related research, opened new fields of psychological exploration, and changed most dramatically our knowledge of human behavior.

    The implications of this argument are highly significant. If this is the case, methods are always political, and it raises the question of what kinds of social realities we want to create.Most current methods look for clarity and precision. It is usually said that only poor research produces messy findings, and the idea that things in the world might be fluid, elusive, or multiple is unthinkable. Law's startling argument is that this is wrong and it is time for a new approach. Many realities, he says, are vague and ephemeral. If methods want to know and help to shape the world, then they need to reinvent themselves and their politics to deal with mess. That is the challenge. Nothing less will do.

    Now, in The Unimaginable Mathematics of Borges' Library of Babel, William Goldbloom Bloch takes readers on a fascinating tour of the mathematical ideas hiddenwithin one of the classic works of modern literature.Written in the vein of Douglas R. Hofstadter's Pulitzer Prize-winning G�del, Escher, Bach, this original and imaginative book sheds light on one of Borges' most complex, richly layered works. Bloch begins each chapter with a mathematical idea--combinatorics, topology, geometry, informationtheory--followed by examples and illustrations that put flesh on the theoretical bones. In this way, he provides many fascinating insights into Borges' Library. He explains, for instance, a straightforward way to calculate how many books are in the Library--an easily notated but literallyunimaginable number--and also shows that, if each book were the size of a grain of sand, the entire universe could only hold a fraction of the books in the Library. Indeed, if each book were the size of a proton, our universe would still not be big enough to hold anywhere near all the books.Given Borges' well-known affection for mathematics, this exploration of the story through the eyes of a humanistic mathematician makes a unique and important contribution to the body of Borgesian criticism. Bloch not only illuminates one of the great short stories of modern literature but alsoexposes the reader--including those more inclined to the literary world--to many intriguing and entrancing mathematical ideas.

    To achieve this goal, they focuses on two central questions: "What Are We?" which highlights your place as a planet dweller in an evolving universe, guiding you to better understand where we came from and how we formed; and "How Do We Know?" which provides insights into how the process of science can teach us more about what we are.

    The book represents the first philosophically sound discussion of the concept of number in Western civilization. It profoundly influenced developments in the philosophy of mathematics and in general ontology.

    Harry Gensler engages students with the basics of logic through practical examples and important arguments both in the history of philosophy and from contemporary philosophy. Using simple and manageable methods for testing arguments, students are led step-by-step to master the complexities of logic.The companion LogiCola instructional program and various teaching aids (including a teacher's manual) are available from the book's website: www.routledge.com/textbooks/gensler_l...

    Cognitive psychology, the science of the human mind and of how people process information, is at the core of empirical investigations into the nature of mind and thought.This anthology is based on the assumption that cognitive psychology is at heart empirical philosophy. Many of the core questions about thought, language, perception, memory, and knowledge of other people's minds were for centuries the domain of philosophy. The book begins with the philosophical foundations of inquiry into the nature of mind and thought, in particular the writings of Descartes, and then covers the principal topics of cognitive psychology including memory, attention, and decision making.The book organizes a daunting amount of information, underlining the essentials, while also introducing readers to the ambiguities and controversies of research. It is arranged thematically and includes many topics not typically taught in cognition courses, including human factors and ergonomics, evolutionary psychology, music cognition, and experimental design.ContributorsDaniel Dennett, Daniel Kahneman, Jay McClelland, Donald Norman, Michael Posner, Stephen Palmer, Eleanor Rosch, John Searle, Roger Shepard, and Anne Treisman

    In this third edition of The Oxford Guide to Library Research, Thomas Mann maps out an array not just of important databases and print sources, but of several specific search techniques that can be applied profitably in any area of research. From academic resources to government documents to manuscripts in archives to business Web sites, Mann shows readers how best to exploit controlled subject headings, explains why browsing library shelves is still important in an online age, demonstrates how citation searching and related record searching produce results far beyond keyword inquiries, and offers practical tips on making personal contacts with knowledgeable people. Against the trendy but mistaken assumption that "everything" can be found on the Internet, Mann shows the lasting value of physical libraries and the unexpected power of traditional search mechanisms, while also providing the best overview of the new capabilities of computer indexing. Throughout the book Mann enlivens his advice with real-world examples derived from his experience of having helped thousands of researchers, with interests in all subjects areas, over a quarter century. Along the way he provides striking demonstrations and powerful arguments against those theorists who have mistakenly announced the demise of print. Essential reading for students, scholars, professional researchers, and laypersons, The Oxford Guide to Library Research offers a rich, inclusive overview of the information field, one that can save researchers countless hours of frustration in the search for the best sources on their topics.

    The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.

    The text covers the basic principles and equations of fluid mechanics in the context of numerous and diverse real-world engineering examples. The text helps students develop an intuitive understanding of fluid mechanics by emphasizing the physics, and by supplying attractive figures, numerous photographs and visual aids to reinforce the physics.

    Assuming no prior science knowledge, this book supports main concepts with clinical applications, making them more relevant to students pursuing careers in the allied health field.

    In 1988, they decided to carry out one final heist that would ensure they could retire forever. It did indeed turn out to be their last heist - but not for the reasons they planned. Their ship was seized, and the key Ring members all scattered all over the world.

    Written by two of the best-known names in categorical logic, Conceptual Mathematics is the first book to apply categories to the most elementary mathematics. It thus serves two purposes: first, to provide a key to mathematics for the general reader or beginning student; and second, to furnish an easy introduction to categories for computer scientists, logicians, physicists, and linguists who want to gain some familiarity with the categorical method without initially committing themselves to extended study.