Described as the 'shorthand of mathematics', the Trachtenberg system only requires the ability to count from one to eleven. Using a series of simplified keys it allows anyone to master calculations, giving greater speed, ease in handling numbers and increased accuracy.Jakow Trachtenberg believed that everyone is born with phenomenal abilities to calculate. He devised a set of rules that allows every child to make multiplication, division, addition, subtraction and square-root calculations with unerring accuracy and at remarkable speed. It is the perfect way to gain confidence with numbers.

    He revolutionized the field of topology, which studies properties of geometric configurations that are unchanged by stretching or twisting. The Poincare conjecture lies at the heart of modern geometry and topology, and even pertains to the possible shape of the universe. The conjecture states that there is only one shape possible for a finite universe in which every loop can be contracted to a single point.Poincare's conjecture is one of the seven "millennium problems" that bring a one-million-dollar award for a solution. Grigory Perelman, a Russian mathematician, has offered a proof that is likely to win the Fields Medal, the mathematical equivalent of a Nobel prize, in August 2006. He also will almost certainly share a Clay Institute millennium award.In telling the vibrant story of The Poincare Conjecture, Donal O'Shea makes accessible to general readers for the first time the meaning of the conjecture, and brings alive the field of mathematics and the achievements of generations of mathematicians whose work have led to Perelman's proof of this famous conjecture.

    Surprisingly, a great many players surveyed did not even know you need to hit down to get the ball up in the air. Hit Down @#!*% ! concisely explains the concept - and the technique - of hitting down at the golf ball for proper trajectory, increased backspin, much improved distance, proper divot taking, and best of all: consistent shotmaking.If you are inadvertently - or intentionally - hitting up at the ball, Hit Down @#!*% ! is for you. (Also available as DVD series, and MP3 download, all on Amazon.)If you are a seasoned amateur who has inexplicably “plateaud” - just cannot seem to get to the next level despite lessons and/or acquiring a library of books and videos - Hit Down @#!*% ! is for you.Symptoms of hitting up include (but are not limited to): - topping the ball- skulling the ball- pushing the ball- slicing the ball- poor distance- difficulty getting off back foot- poor backspin- no divot- fat divots- chunking the ball- thin/fat chip shots- roofing the ball with your driver- inability to hit long irons and/or fairway woods- good shots followed immediately by poor shotsHitting down at the golf ball is not a new concept, but it is a hitherto poorly explained (or completely avoided) concept. All pros agree on the need to hit down, so there is no debate there. Even Tiger Woods, in his 306 page “How I Play Golf”, states the need to hit down at the ball – but does not explain how. Hit Down @#!*% ! does. Learn to hit down, watch the ball go up, and your scores go down. BONUS: At the end of this book you will find a link to purchase the Hit Down @#!*% ! 4 DVD series and receive a full credit for the purchase of this Kindle ebook.

    The authors help students learn key sociological concepts through real research examples related to the dynamic interplay of race, class, gender, and other social variables.

    In this little book Welsh writer and artist David Wade paints a picture of one of the most elusive and pervasive concepts known to man.

    It was studied from antiquity to the Renaissance as a way of glimpsing the nature of reality. Geometry is number in space; music is number in time; and comology expresses number in space and time. Number, music, and geometry are metaphysical truths: life across the universe investigates them; they foreshadow the physical sciences.Quadrivium is the first volume to bring together these four subjects in many hundreds of years. Composed of six successful titles in the Wooden Books series-Sacred Geometry, Sacred Number, Harmonograph, The Elements of Music, Platonic & Archimedean Solids, and A Little Book of Coincidence-it makes ancient wisdom and its astonishing interconnectedness accessible to us today.Beautifully produced in six different colors of ink, Quadrivium will appeal to anyone interested in mathematics, music, astronomy, and how the universe works.

    Communities that have lived side by side for decades are locked in a violent conflict. Yards from a burning mosque, the body of a teenage boy is found hanging from a meat-hook. A sign dangles around his neck, proclaiming his crime. 'Terrorist.' Seasoned detective Ewan Striker is called in to investigate the murder. His enquiries lead him to form an unlikely alliance with rookie cop Tag Westland. Together, they discover dark forces are at work on both sides, and find themselves in a race against time to prevent the biggest terrorist atrocity ever seen on English soil.

    It offers targeted assessment, easy-to-follow instruction, hundreds of reinforcement activities, and simulated GED tests for all five GED subject areas: Test 1 Language Arts, Writing; Test 2 Social Studies; Test 3 Science; Test 4 Language Arts, Reading; Test 5 Mathematics. A half-length Pretest for each subject helps pinpoint strengths and weaknesses for targeting study. Clear instruction, followed by hundred of practice questions in official GED format help to build confidence. A Posttest for each subject is followed by a second Practice Test in official GED format to determine readiness for the actual test.

    Real stories about the patients, nurses, consulting physicians, and daily life of a busy Emergency Department. Get a glimpse inside the inner workings of an Emergency Department and the staff that works there, caring for patients and their families. From a toddler who can cuss a blue streak, a dead mouse brought into the Emergency Department, to critical resuscitations, these are stories that you will never forget.

    Parker removes that pain by offering an opportunity to Get-to-Know the 'Master of Electricity,' to learn of his youth and upbringing, his early career, and of course his pivotal role in advancing the World into the Electrical Age! Turn these pages and enjoy the opportunity to learn history, but better yet to come to know Tesla better through Parker’s amazing ability to describe his life, his eccentricities and above all, his accomplishments; making this an enjoyable and interesting Quick-Read Biography. This Book also Comes with a FREE Gift!

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

    Distilled into 1001 mini-essays arranged thematically, this unique book moves steadily from the basics through to the most advanced areas of math, making it the ideal guide for both the beginner and the math wiz.The book covers all of the fundamental mathematical disciplines:Geometry Numbers Analysis Logic Algebra Probability and statistics Applied mathematics Discrete mathematics Games and recreational mathematics Philosophy and metamathematicsExpert mathematician Richard Elwes explains difficult concepts in the simplest language with a minimum of jargon. Along the way he reveals such mathematical magic as how to count to 1023 using just 10 fingers and how to make an unbreakable code.Enlightening and entertaining, Mathematics 1001 makes the language of math come alive.

    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.

    Hofstadter's collection of quirky essays is unified by its primary concern: to examine the way people perceive and think.

    When the headmaster forces Minagi's entire class to study Einstein's theory of relativity over summer school, Minagi volunteers to go in their place. There's just one problem: He's never even heard of relativity before! Luckily, Minagi has the plucky Miss Uraga to teach him. Follow along with The Manga Guide to Relativity as Minagi learns about the non-intuitive laws that shape our universe. Before you know it, you'll master difficult concepts like inertial frames of reference, unified spacetime, and the equivalence principle. You'll see how relativity affects modern astronomy and discover why GPS systems and other everyday technologies depend on Einstein's extraordinary discovery. The Manga Guide to Relativity also teaches you how to: Understand and use E = mc2, the world's most famous equation Calculate the effects of time dilation using the Pythagorean theorem Understand classic thought experiments like the Twin Paradox, and see why length contracts and mass increases at relativistic speeds Grasp the underpinnings of Einstein's special and general theories of relativity If the idea of bending space and time really warps your brain, let The Manga Guide to Relativity straighten things out.