Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.

    With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot. Holt offers a painless and playful introduction to many of our most beautiful but least understood ideas, from Einsteinian relativity to string theory, and also invites us to consider why the greatest logician of the twentieth century believed the U.S. Constitution contained a terrible contradiction--and whether the universe truly has a future.

    Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics.A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity.

    In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes, everyday examples, and ruminations on history, literature, and more, Tammet allows us to share his unique insights and delight in the way numbers, fractions, and equations underpin all our lives. Inspired by the complexity of snowflakes, Anne Boleyn's eleven fingers, or his many siblings, Tammet explores questions such as why time seems to speed up as we age, whether there is such a thing as an average person, and how we can make sense of those we love. Thinking In Numbers will change the way you think about math and fire your imagination to see the world with fresh eyes.

    Ed Smith - the young Cambridge University and Kent batsman - has spent the winters since 1998 in Spring Training with the New York Mets baseball team. It has enabled Ed to contrast and compare arguably the two most iconic of sports from the inside. In fact, baseball had a thriving following in Britain until the Great War: Derby County's former stadium was called the Baseball Ground; Tottenham Hotspur was at first a baseball club. Apart from learning two very different techniques, Ed learned that the sports' ultimate heroes, the Babe and the Don - Babe Ruth and Don Bradman - might as well have come from different planets, whilst baseball's pristine Hall of Fame in Cooperstown is a far cry from the ramshackle cricket museum at Lord's. Ed Smith's PLAYING HARD BALL draws on these intriguing comparisons to paint a two-sided portrait of sports most illustrous 'hitting games'.

    There is much about the end of history we don't understand. But while thoughts on the final day will stir our questions, they needn't stir our fears. Regarding that day, Jesus urged, Don't let your hearts be troubled. Trust in God, and trust in me (John 14:1).Max Lucado believes the day Christ comes will be the beginning of the very best. And our primary task is to be prepared and peaceful while we wait.If we have some questions about the end of time ...If we have concerns about what will happen to us ...If we want to look to the end of times as a source of comfort and not chaos ...Then this is the book we need. New York Times best-selling author Max Lucado walks us through Scripture to find peace in the present and hope for the hereafter.

    But re-establishing the Reds as the most successful club in the land was an enormous task. Famously, he knew he had to knock Liverpool of their perch. At the dawn of the Premier League era, in 1992-93, United had gone twenty-six years without being champions, but that season Ferguson finally led the club to title success and in 2010-11 he finally achieved the record-breaking nineteenth title. On top of that, Sir Alex has led Manchester United to two Champions League victories and many other trophies. This fascinating book not only celebrates what Sir Alex has achieved at United, but also seeks to explain just how he has gone about creating this remarkable dynasty, constantly rebuilding the team and driving them forward to yet more glory. In an era when most managers are lucky if they last two years, Sir Alex's achievement of lasting twenty-five years at the very top is truly astonishing. This book is the club's fitting tribute to his career.

    To its adherents, it is an elegant statement about learning from experience. To its opponents, it is subjectivity run amok.In the first-ever account of Bayes' rule for general readers, Sharon Bertsch McGrayne explores this controversial theorem and the human obsessions surrounding it. She traces its discovery by an amateur mathematician in the 1740s through its development into roughly its modern form by French scientist Pierre Simon Laplace. She reveals why respected statisticians rendered it professionally taboo for 150 years—at the same time that practitioners relied on it to solve crises involving great uncertainty and scanty information (Alan Turing's role in breaking Germany's Enigma code during World War II), and explains how the advent of off-the-shelf computer technology in the 1980s proved to be a game-changer. Today, Bayes' rule is used everywhere from DNA de-coding to Homeland Security.Drawing on primary source material and interviews with statisticians and other scientists, The Theory That Would Not Die is the riveting account of how a seemingly simple theorem ignited one of the greatest controversies of all time.

    This concept is at the root of the computational worldview, which basically says that very complex systems — the world we live in — have their beginnings in simple mathematical equations. We've lately come to understand that such an algorithm is only the start of a never-ending story — the real action occurs in the unfolding consequences of the rules. The chip-in-a-box computers so popular in our time have acted as a kind of microscope, letting us see into the secret machinery of the world. In Lifebox, Rucker uses whimsical drawings, fables, and humor to demonstrate that everything is a computation — that thoughts, computations, and physical processes are all the same. Rucker discusses the linguistic and computational advances that make this kind of "digital philosophy" possible, and explains how, like every great new principle, the computational world view contains the seeds of a next step.

    

    In this unconventional introduction, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Unlike most popular physics books—which give readers a taste of what physicists know but shy away from equations or math—Susskind and Hrabovsky actually teach the skills you need to do physics, beginning with classical mechanics, yourself. Based on Susskind's enormously popular Stanford University-based (and YouTube-featured) continuing-education course, the authors cover the minimum—the theoretical minimum of the title—that readers need to master to study more advanced topics.An alternative to the conventional go-to-college method, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace.

    Perform this genius seemingly-mathematical feat on any napkin, any receipt, or even on your friend's arm.You can learn the famous Magic Square, and you can learn it in under 10 minutes.You will have a magician's Grand Finale, in your hands at any moment. This gets audible gasps, and you can wow people with this for the rest of your life...**************************THE PERFORMANCE:**************************Your friend will name a random number. You then speedily write 16 different numbers into a 4x4 grid. With a smug flourish, you then reveal that all combinations and directions within the grid add up to their chosen number. It is simply mind-blowing.Effortlessly perform a trick that it seems only a computer could perform, and learn how in 10 minutes from right now.

    Star of BBC's Supersizers and hugely popular Times columnist's works through his anger about everything from dogs to cycle helmets.

    Her life has been a roller-coaster mix of adventure, drama and heartache, and it is only now that she finally feels ready to share her journey so far. In Absolute Beginner Patsy describes her extraordinary childhood, moving between the glamour of filming movies with Elizabeth Taylor and Mia Farrow and the tiny London council flat she shared with her parents and brother. Even as her career was taking off, she was living with the devastating knowledge of her beloved mother's incurable cancer and was forced to hide her father's criminal past. She also writes about the ups and downs of life as an actress in a career that has spanned four decades, from her roles in films like the iconic Absolute Beginners, Lethal Weapon 2, 21 and Oscar-nominated Angels and Insects to playing the uber bitch Sadie King in Emmerdale and, most recently, starring in Holby City. Vivid, intimate and touching, Absolute Beginner reveals the real Patsy - a warm and funny woman who is the ultimate survivor.

    On a rural farm, in the mountains, she and her sister are constantly stalked by the Kecleh-Kudleh. For years they try to ignore the signs, until one day they can no longer ignore that the Kecleh-Kudleh are real.They have come face to face with an ancient legend. Read their harrowing encounter in Sasquatch, The Native Truth.