Describes how fractals were discovered, explains their unique properties, and discusses the mathematical foundation of fractals.

    From the early Greek influences to the Middle Ages and the Renaissance to the end of the 19th century, trace the fascinating foundation of mathematics as it developed through the ages. Aristotle, Galileo, Kepler, Newton: you know the names. Now here's what they really did, and the effect their discoveries had on our culture, all explained in a way the layperson can understand. Begin with the basis of arithmetic (Plato and the introduction of geometry), and discover why the use of Arabic numerals was critical to the development of both commerce and science. The development of calculus made space travel a reality, while the abacus prefigured the computer. The greats examined in depth include Leonardo da Vinci, a brilliant mathematician as well as artist; Pascal, who laid out the theory of probabilities; and Fermat, whose intriguing theory has only recently been solved.

    The Architecture of Happiness starts from the idea that where we are heavily influences who we can be, and it argues that it is architecture's task to stand as an eloquent reminder of our full potential.Whereas many architects are wary of openly discussing the word beauty, this book has at its center the large and naïve question: What is a beautiful building? It is a tour through the philosophy and psychology of architecture that aims to change the way we think about our homes, our streets and ourselves.

    Presents 500 houses classified by architect, designer, patron or cultural tribe, this book looks at some of the most astonishing and creative abodes ever to be built.

    It is elegant, clever and rewarding to learn, but it is hard. Even the best students find it challenging, and those who are unprepared often find it incomprehensible at first. This book aims to ensure that no student need be unprepared. It is not like other Analysis books. It is not a textbook containing standard content. Rather, it is designed to be read before arriving at university and/or before starting an Analysis course, or as a companion text once a course is begun. It provides a friendly and readable introduction to the subject by building on the students existing understanding of six key topics: sequences, series, continuity, differentiability, integrability and the real numbers. It explains how mathematicians develop and use sophisticated formal versions of these ideas, and provides a detailed introduction to the central definitions, theorems and proofs, pointing out typical areas of difficulty and confusion and explaining how to overcome these. The book also provides study advice focused on the skills that students need if they are to build on this introduction and learn successfully in their own Analysis courses: it explains how to understand definitions, theorems and proofs by relating them to examples and diagrams, how to think productively about proofs, and how theories are taught in lectures and books on advanced mathematics. It also offers practical guidance on strategies for effective study planning. The advice throughout is research-based and is presented in an engaging style that will be accessible to students who are new to advanced abstract mathematics.

    Short-Cut Math is a concise, remarkably clear compendium of about 150 math short-cuts — timesaving tricks that provide faster, easier ways to add, subtract, multiply, and divide.By using the simple foolproof methods in this volume, you can double or triple your calculation speed — even if you always hated math in school. Here's a sampling of the amazingly effective techniques you will learn in minutes: Adding by 10 Groups; No-Carry Addition; Subtraction Without Borrowing; Multiplying by Aliquot Parts; Test for Divisibility by Odd and Even Numbers; Simplifying Dividends and Divisors; Fastest Way to Add or Subtract Any Pair of Fractions; Multiplying and Dividing with Mixed Numbers, and more.The short-cuts in this book require no special math ability. If you can do ordinary arithmetic, you will have no trouble with these methods. There are no complicated formulas or unfamiliar jargon — no long drills or exercises. For each problem, the author provides an explanation of the method and a step-by-step solution. Then the short-cut is applied, with a proof and an explanation of why it works.Students, teachers, businesspeople, accountants, bank tellers, check-out clerks — anyone who uses numbers and wishes to increase his or her speed and arithmetical agility, can benefit from the clear, easy-to-follow techniques given here.

    Songwriters will examine 17 extraordinary songs and learn the distinct elements that make them so effective. Pattison then presents more than 30 lyric-writing exercises designed to achieve the same results. From generating lyric ideas and managing repetition to developing verses, it's all here. Songwriters will: find warm-up exercises that revolutionize songwriting imagery; use a rhyming dictionary and a thesaurus to generate ideas and find snappy rhyme; create meaningful metaphors and similes while avoiding cliches; develop verses by using or breaking conventional rules; experiment with point of view in every lyric to make a song stand out

    Theory and practice in the design of data graphics, 250 illustrations of the best (and a few of the worst) statistical graphics, with detailed analysis of how to display data for precise, effective, quick analysis. Design of the high-resolution displays, small multiples. Editing and improving graphics. The data-ink ratio. Time-series, relational graphics, data maps, multivariate designs. Detection of graphical deception: design variation vs. data variation. Sources of deception. Aesthetics and data graphical displays. This is the second edition of The Visual Display of Quantitative Information. Recently published, this new edition provides excellent color reproductions of the many graphics of William Playfair, adds color to other images, and includes all the changes and corrections accumulated during 17 printings of the first edition.

    But it gets much easier and a lot more fun when you follow a step-by-step approach that starts you off on the right foot, helps you build your skills one at a time, and gives you plenty of exercises to develop your craft. That's what you'll find in Oil Painting For Dummies. Completely free of arty jargon, this full-color guide has all the hands-on instruction you need to master the basics. You'll see how to plan a painting, build an image in layers, mix colors, and create stunning compositions. You'll also find everything you need to know about oil paints, solvents, and pigments; brushes, palettes, and painting surfaces; and how to keep costs down at the art supply store. Discover how to:Choose the right supplies Set up your studio and care for your equipment Handle your materials safely Develop your design and composition skills Make practice sketches and studies Use broken stroke, dry brush, glazing, scraffito and other brush strokes Try out different compositions Mix any color you want Simplify tricky still-life subjects Paint landscapes and common objects out doors Paint portraits and the human form Complete with handy color chart, basic materials list, and a very useful viewing square, Oil Painting For Dummies is the fun and easy way to discover your inner artist!

    Filled with facts, trivia, and stories about the world’s musicians, instruments, songs, and more, this endlessly diverting "plunge" dips into the history of Motown, muzak, and marching bands; tells the secret stories behind the hits; explores legendary venues like the Grand Ole Opry, the Apollo, and the Fillmore; spots the rarely sighted “two-hit wonders”; describes the origins of karaoke, rap music, and the cha cha cha. In short, it includes all the music news that’s fit to print is here in a variety of formats — longer entries for extended sojourns and brief tidbits for shorter stays.

    As he finds himself within spitting distance of middle-age, journalist Eric Spitznagel feels acutely the loss of... something. Freedom? Maybe. Coolness? Could be. The records he sold in a financial pinch? Definitely. To find out for sure, he sets out on a quest to find the original vinyl artifacts from his past. Not just copies. The exact same records: The Bon Jovi record with his first girlfriend's phone number scrawled on the front sleeve. The KISS Alive II he once shared with his little brother. The Replacements Let It Be he's pretty sure, 20 years later, would still smell like weed.As he embarks on his hero's journey, he reminisces about the actual records, the music, and the people he listened to it with--old girlfriends, his high school pals, and, most poignantly, his father and his young son. He explores the magic of music and memory as he interweaves his adventures in record-culture with questions about our connection to our past, the possibility of ever recapturing it, and whether we would want to if we could.Memories are far more indelible when married to the physical world, and Spitznagel proves the point in this vivid book. We love vinyl records because they combine the tactile, the visual, the seeable effects of age and care and carelessness. When he searches for the records he lost and sold, Spitznagel is trying to return to a tangible past, and he details that process with great sensitivity and impact.--Dave Eggers, New York Times bestselling author of The Circle

    "Writing with grace and clarity...he touches on everything from the evolution of the Western tonal system, to the Freudian theory of music as infantile escapism, to the differing roles o the right and left brain in perceiving music." WALL STREET JOURNALDrawing on his own life long passion for music and synthesizing the theories of Plato, Schopenhauer, Stravinsky, Nietzsche, Bartok, and others, distinguished author and psychologist Anthony Storr illuminates music's deep beauty and timeless truth and why and how music is one of the fundamental activities of mankind.

    Now the journey continues in a new, updated edition that includes all the latest information on mathematical proofs, fractals, prime numbers, and chaos, as well as new material on* the relationship between mathematical knots and DNA* how computers based on quantum logic can significantly speed up the factoring of large composite numbers* the relationship between four-dimensional geometry and physical theories of the nature of matter* the application of cellular automata models to social questions and the peregrinations of virtual ants* a novel mathematical model of quasicrystals based on decagon-shaped tilesBlazing a trail through rows of austere symbols and dense lines of formulae, Peterson explores the central ideas behind the work of professional mathematicians-- how and where their pieces of the mathematical puzzle fit in, the sources of their ideas, their fountains of inspiration, and the images that carry them from one discovery to another.

    He believes that we should investigate what makes some countries more capable than others. Complex products—from films to robots, apps to automobiles—are a physical distillation of an economy’s knowledge, a measurable embodiment of its education, infrastructure, and capability. Economic wealth accrues when applications of this knowledge turn ideas into tangible products; the more complex its products, the more economic growth a country will experience.A radical new interpretation of global economics, Why Information Grows overturns traditional assumptions about the development of economies and the origins of wealth and takes a crucial step toward making economics less the dismal science and more the insightful one.

    It comprises non-technical essays on every aspect of the vast subject, including articles by scores of eminent mathematicians and other thinkers.