Tie Knots unravels the history of ties, the story of the discovery of the new knots and some very elegant mathematics in action. If Einstein had been left alone in Tie Rack for long enough perhaps he would have worked it out : why do people tie their ties in only 4 ways? And how many other possibilities are there? Two Cambridge University physicists, research fellows working from the Cavendish laboratories, have discovered via a recherche branch of mathematics - knot theory - that although only four knots are traditionally used in tying neck ties another 81 exist. This is the story of their discovery, of the history of neck ties and of the equations that express whether a tie is handsome or not. Of the 81 new knots, 6 are practical and elegant. We now have somewhere else to go after the Pratt, the Four-in-Hand, the Full and Half Windsor. Sartorial stylishness is wrapped effortlessly around popular mathematics. A concept developed to describe the movement of gas molecules - the notion of persistent walks around a triangular lattice - also describes the options for tie tying. Pure maths becomes pure fashion in a delightfully designed little package from Fourth Estate.

    The book contains 500 random facts along with Spells, Charms and Potions that you've Probably never heard before in the blockbuster harry potter series.Test your knowledge and check how many of this are know to you.

    Pure Mathematics 1 corresponds to unit P1. It covers quadratics, functions, coordinate geometry, circular measure, trigonometry, vectors, series, differentiation and integration.

    While this version features an older Dummies cover and design, the content is the same as the new release and should not be considered a different product. The fun and easy way to get up to speed on the basic concepts of physics For high school and undergraduate students alike, physics classes are recommended or required courses for a wide variety of majors, and continue to be a challenging and often confusing course.Physics I For Dummies tracks specifically to an introductory course and, keeping with the traditionally easy-to-follow Dummies style, teaches you the basic principles and formulas in a clear and concise manner, proving that you don't have to be Einstein to understand physics!Explains the basic principles in a simple, clear, and entertaining fashion New edition includes updated examples and explanations, as well as the newest discoveries in the field Contains the newest teaching techniques If just thinking about the laws of physics makes your head spin, this hands-on, friendly guide gets you out of the black hole and sheds light on this often-intimidating subject.

    This is done in a way that is not only easy to understand, but is actually fun! Professors and engineers, with high school and college students following closely, comprise the largest percentage of our readers. It is a must-have for anyone interested in music, mathematics, physics, engineering, or complex science. Dr. Yoichiro Nambu, 2008 Nobel Prize Winner in Physics, served as a senior adviser to the English version of Who is Fourier? A Mathematical Adventure.

    In Longevity Now, Wolfe exposes the number-one cause of all degenerative illness and aging: calcification. Caused by an excess of calcium and the presence of nanobacteria, calcification can be found in some degree in virtually every adult and even some children. It leads to a plethora of illnesses and manifests as achy joints, hardened arteries, cellulite, cysts, kidney stones, gallstones, dental plaque, cataracts, and bone spurs, among many other health problems. By breaking down calcification and removing parasites, heavy metals, and other "unwanted guests" from your system, you can reverse the aging process and eliminate the prospect of degenerative disease from your future.Part 1 of the Longevity Now Program focuses on supplements to dissolve the buildup of calcium in your system, leading to freer movement, a clearer head, and a lighter step. Part 2 focuses on boosting your immunity, using a variety of supplements to make your body as resilient as possible. Part 3 focuses on rejuvenating each and every cell of your body with nutrient-packed supplements and superfoods. Part 4 focuses on using special electromagnetic grounding technologies to eliminate parasites and reconnect you with the rhythmic cycles of Earth's energy field. Part 5 focuses on deep-tissue bodywork and yoga, so that you can move blocked energy around and break up stagnation in typically unaccessed parts of the body.In addition to all this, Wolfe offers abundant additional information to help you more fully live the Longevity Now lifestyle, such as foods to avoid, healthful alternative sweeteners, delicious recipes, and more tips and tricks to keep you on the path of rejuvenation, radiant health, and full-throttle vitality.From the Hardcover edition.

    This book is a powerful and enriching synthesis of the 12-Step recovery programs and the Noble Eightfold Path of Buddhism. It is sure to appeal to anyone touched by addiction, including those looking for new ways to understand and work with the tried-and-true 12-Step system. Tens of millions of Americans suffer from alcoholism and other forms of dependence, and 12 Steps on Buddha's Path offers hope and help for any one of them.Though writing anonymously out of deep respect for 12-Step policies, the author is in fact a well-known professional author, deeply involved in the recovery and meditation communities.

    Discover and master the fiery temperament shared by great leaders, entrepreneurs, artists and AD/HD-ers. Are you: - Impulsive? - Risk-taking? - Distractible? - Sensation-seeking? - Insightful or Intuitive? Do you: - Crave risk and excitement? - Have an addictive personality? - Rebel against authority? - Think differently? Then you are a DaVinci. Discover the secret genius that drives risk-takers, rebels, entrepreneurs, artists and ad/hd-ers to achieve greatness. Learn how to express this fire and harness it productively. About the Author Garret LoPorto, has been featured in The New York Times, Money Magazine, The Boston Globe and The London Financial Times. He is a successful entrepreneur, CEO, presenter at MIT, U.S. & International patent-pending inventor, and father of two children. He lives with his wife and children in Concord, Massachusetts.

    Admittedly real life wasn’t like that. But only, they argued, because we didn’t have enough data to be certain.Then the cracks began to appear. It proved impossible to predict exactly how three planets orbiting each other would move. Meteorologists discovered that the weather was truly chaotic – so dependent on small variations that it could never be predicted for more than a few days out. And the final nail in the coffin was quantum theory, showing that everything in the universe has probability at its heart.That gives human beings a problem. We understand the world through patterns. Randomness and probability will always be alien to us. But it’s time to plunge into this fascinating, shadowy world, because randomness crops up everywhere. Probability and statistics are the only way to get a grip on nature’s workings. They may even seal the fate of free will and predict how the universe will end.Forget Newton’s clockwork universe. Welcome to Dice World.

    Each concept is quick and easy to remember, described by means of an easy-to-understand picture and a maximum 200-word explanation. Concepts span all of the key areas of mathematics, including Fundamentals of Mathematics, Sets and Numbers, Geometry, Equations, Limits, Functions and Calculus, Vectors and Algebra, Complex Numbers, Combinatorics, Number Theory, Metrics and Measures and Topology. Incredibly quick - clear artworks and simple explanations that can be easily remembered. Based on scientific research that the brain best absorbs information visually. Compact and portable format - the ideal, handy reference.

    Here the trials and triumphs of the early Muslims as individuals are well-portrayed. Their various paths to Islam - sometimes direct, sometimes long and tortuous, their devotion to the noble Prophet, their endeavours in peace time and their exploits in war - all serve to cast them in a heroic mould. This is the first of two (formerly published as a series of three) books based on original Arabic sources and written in a style that is lively and often gripping. The lives of the Sahabah or Companions of the Prophet, may God bless him and grant him peace, is a rich storehouse of knowledge, guidance and inspiration. The men and women whose stories are told here helped to lay the foundations of a new world order, and it is only fitting that they should be more widely known.

    New to this third edition are expanded coverage of such important topics as surface boundary interfaces, improved discussions of such physical and mathematical laws as the Law of Biot and Savart and the Euler Momentum Integral. A very important new section on Computational Fluid Dynamics has been added for the very first time to this edition. Expanded and improved end-of-chapter problems will facilitate the teaching experience for students and instrutors alike. This book remains one of the most comprehensive and useful texts on fluid mechanics available today, with applications going from engineering to geophysics, and beyond to biology and general science. * Ample, useful end-of-chapter problems.* Excellent Coverage of Computational Fluid Dynamics.* Coverage of Turbulent Flows.* Solutions Manual available.

    The material is arranged chronologically beginning with archaic origins and covers Egyptian, Mesopotamian, Greek, Chinese, Indian, Arabic and European contributions done to the nineteenth century and present day. There are revised references and bibliographies and revised and expanded chapters on the nineteeth and twentieth centuries.

    Ian Stewart presents us with a wealth of magical puzzles, each one spun around an amazing tale, including Counting the Cattle of the Sun, The Great Drain Robbery, and Preposterous Piratical Predicaments. Fully illustrated with explanatory diagrams, each tale is told with engaging wit, sure to amuse everyone with an interest in puzzles and mathematics. Along the way, we also meet many curious characters. Containing twenty specially-commissioned cartoons, this book will delight all who are familiar with Stewart's many other books, such as What Shape is a Snowflake? and Flatterland and anyone interested in mathematical problems. In short, these stories are engaging, challenging, and lots of fun!

    The book has the hallmark features for which Lippincott's Illustrated Reviews volumes are so popular: an outline format, over 600 full-color illustrations, end-of-chapter summaries, review questions, plus an entire section of clinical case studies with full-color illustrations. This edition's medical/clinical focus has been sharpened to provide a high-yield review. Five additional case studies have been included, bringing the total to nineteen. Review questions have been reformatted to comply with USMLE Step 1 style, with clinical vignettes.