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.

    Nor do you need to be a great scientist to appreciate the exciting discoveries and intriguing mysteries of our universe. Dr. Robert piccioni brings the excitement of modern scientific discoveries to general audiences. He makes the key facts and concepts understandable without "dumbing" them down. He presents them in a friendly, conversational manner and includes many personal anecdotes about the people behind the science. With 33 images and over 100 graphics, this book explains the real science behind the headlines and sound bites. Learn all about:our universe: how big? how old? what came before?the big bang, black holes and supernovaequantum mechanics and uncertaintyhow the immense and the minute are connectedwhat is special about general relativityhow mankind can become earth's best friend

    (The also-rans that year included Tom Wolfe, Verlyn Klinkenborg, and Oliver Sacks.) Hayes's work in this genre has also appeared in such anthologies as The Best American Magazine Writing, The Best American Science and Nature Writing, and The Norton Reader. Here he offers us a selection of his most memorable and accessible pieces--including "Clock of Ages"--embellishing them with an overall, scene-setting preface, reconfigured illustrations, and a refreshingly self-critical "Afterthoughts" section appended to each essay.

    We often overlook the historical link between mathematics and technological advances, says Stewart—but this connection is integral to any complete understanding of human history.Equations are modeled on the patterns we find in the world around us, says Stewart, and it is through equations that we are able to make sense of, and in turn influence, our world. Stewart locates the origins of each equation he presents—from Pythagoras's Theorem to Newton's Law of Gravity to Einstein's Theory of Relativity—within a particular historical moment, elucidating the development of mathematical and philosophical thought necessary for each equation's discovery. None of these equations emerged in a vacuum, Stewart shows; each drew, in some way, on past equations and the thinking of the day. In turn, all of these equations paved the way for major developments in mathematics, science, philosophy, and technology. Without logarithms (invented in the early 17th century by John Napier and improved by Henry Briggs), scientists would not have been able to calculate the movement of the planets, and mathematicians would not have been able to develop fractal geometry. The Wave Equation is one of the most important equations in physics, and is crucial for engineers studying the vibrations in vehicles and the response of buildings to earthquakes. And the equation at the heart of Information Theory, devised by Claude Shannon, is the basis of digital communication today.An approachable and informative guide to the equations upon which nearly every aspect of scientific and mathematical understanding depends, In Pursuit of the Unknown is also a reminder that equations have profoundly influenced our thinking and continue to make possible many of the advances that we take for granted.

    In this book, William Cook takes readers on a mathematical excursion, picking up the salesman's trail in the 1800s when Irish mathematician W. R. Hamilton first defined the problem, and venturing to the furthest limits of today's state-of-the-art attempts to solve it. He also explores its many important applications, from genome sequencing and designing computer processors to arranging music and hunting for planets.In Pursuit of the Traveling Salesman travels to the very threshold of our understanding about the nature of complexity, and challenges you yourself to discover the solution to this captivating mathematical problem.

    When you hear the word "neuroscience," you expect something abstract and remote, very complex, of little practical value. But this time...it's personal. In a highly anticipated, three-part series airing on the National Geographic Channel in Fall 2011, National Geographic's Brainworks makes YOU the test subject in an array of astonishing challenges and experiments. Your brain will be stimulated, fooled, and ultimately amazed, as scientists and other experts show you how this three-pound blob of gray matter effectively makes you, you. The television program brings together a crack team of scientists and researchers from a wide range of fields, including neurology, psychology, and opthamology. Awareness expert Dan Simons and memory expert Elizabeth Loftus are just two of the notables who lend their considerable brainpower to this unprecedented project. The program also draws on the know-how of those who traffic in brain tricks—illusionists such as David Copperfield and Apollo Robbins and artists such as color expert Beau Lotto—to bring each mind-bending illusion to life. The captivating companion book further messes with your head through the visual illusions discovered and perfected by masters of fine art as well as through deceptively simple illustrations that are finely crafted by psychologists to highlight the way we take in and process the world around us. In three sections—"Seeing," "Thinking," and "Being"—you'll see for yourself why these visual illusions and experiments hoodwink the brain. You'll find out how the structure of the eye influences what you see. And you'll think of events that may not have actually happened, in order to learn how the mind can create a false memory. Rather than simply displaying a collection of puzzlers or visual illusions, each chapter guides you through a series of perceptual and thought experiments firsthand and then walks you through your brain's reaction in clear, user-friendly language—providing every reader with a compelling personal interest in finding out why his or her mind acts the way it does. Smart, exciting, and deeply engaging, Brainworks pulls you in, manipulates your mind, and leaves you with a better understanding—as well as a richer appreciation—of the mental marvels that we take for granted.

    It deals with one powerful obsession that preoccupied Escher: what he called "the regular division of the plane," the puzzlelike interlocking of birds, fish, lizards, and other natural forms in continuous patterns. Schattschneider asks, "How did he do it?" She answers the question by analyzing Escher's notebooks." Visions of Symmetry includes many of Escher's masterworks, as well as hundreds of lesser-known examples of his work. This new edition also features a foreward and an illustrated epilogue that reveals new information about Escher's inspiration and shows how his ideas of symmetry have influenced mathematicians, computer scientists, and contemporary artists.

    But for thousands of years, people have done things like this—and things that make radioactive underpants seem downright sensible! In their hit podcast, Sawbones, Sydnee and Justin McElroy breakdown the weird and wonderful way we got to modern healthcare. And some of the terrifying detours along the way.Every week, Dr. Sydnee McElroy and her husband Justin amaze, amuse, and gross out (depending on the week) hundreds of thousands of avid listeners to their podcast, Sawbones. Consistently rated a top podcast on iTunes, with over 15 million total downloads, this rollicking journey through thousands of years of medical mishaps and miracles is not only hilarious but downright educational. While you may never even consider applying  boiled weasel to your forehead (once the height of sophistication when it came to headache cures), you will almost certainly face some questionable medical advice in your everyday life (we’re looking at you, raw water!) and be better able to figure out if this is a miracle cure (it’s not) or a scam. Table of Contents:Part One: The Unnerving The Resurrection Men Fun w Galvanism Weird Weight Loss Miracle Cure: Opium Black Plague Heroes of Misguided Medicine: Pliny the Elder Erectile Dysfunction The Doctor Is In: Listener Questions Answered Don’t Drill a Hole in Your HeadPart Two: The Gross Mummy Medicine The Guthole Bromance The Unkillable Phineas Gage Max Drank Poopy Water Heroes of Misguided Medicine: Robert Liston Golden Showers of Health Miracle Cure-All: Radium Dr. John Romulus Brinkley The Doctor Is In Q&A Just (Four) Humour Me The Camel Dung MiraclePart Three: The Weird The Dancing Plague Bad Medicine: Tobacco for Health The Seasick-Proof Saloon Miracle Cure-All: Vinegar The Doctor Is In Q&A Heroes of Misguided MedicinePart Four: The Awesome The Poison Squad Bad Medicine: Self Experimentation Eat Your Chocolate! Heroes of Misguided Medicine Parrot Fever Miracle Cure-All: Honey The Miraculous Polio Vaccine The Doctor Is In

    From the Difference Engine to magic squares and from the Fibonacci rabbits to Fermat's Last Theorem, this book features the weird world of numbers, imaginary, real or infinite.

    But this disproportion can make their crimes seem all the more shocking. In this chilling casebook, Al Cimino explores 34 female murderers. We meet 'Angel of Death' Kristen Gilbert who induced multiple cardiac arrests among her patients while working as a hospital nurse, Enriqueta Mart�, the 'Vampire of Barcelona' who killed children to make cosmetics, and many more. These case studies give riveting insight into the lives and motives of women who decided to commit the ultimate transgression. In many of these cases, the women had suffered years of abuse and psychological breakdown before their eventual crimes. Other times their heinous acts seemed to spring from nowhere, with an unpredictability that is haunting. The gruesome details within these pages are not for the faint hearted.

    So what makes this one different? Well, you won't be overwhelmed with a bunch of 'tips' … or a strict budget (that you won't follow). You'll get a step-by-step formula: open this account, then do this; call this person, and say this; invest money here, and not there. All with a glass of wine in your hand. This book will show you how to create an entire financial plan that is so simple you can sketch it on the back of a serviette … and you'll be able to manage your money in 10 minutes a week. You'll also get the skinny on: Saving up a six-figure house deposit in 20 months Doubling your income using the 'Trapeze Strategy' Saving $78,173 on your mortgage and wiping out 7 years of payments Finding a financial advisor who won't rip you off Handing your kids (or grandkids) a $140,000 cheque on their 21st birthday Why you don't need $1 million to retire … with the 'Donald Bradman Retirement Strategy' Sound too good to be true? It's not. This book is full of stories from everyday Aussies — single people, young families, empty nesters, retirees — who have applied the simple steps in this book and achieved amazing, life-changing results. And you're next.

      Statistics are everywhere, as integral to science as they are to business, and in the popular media hundreds of times a day. In this age of big data, a basic grasp of statistical literacy is more important than ever if we want to separate the fact from the fiction, the ostentatious embellishments from the raw evidence -- and even more so if we hope to participate in the future, rather than being simple bystanders. In The Art of Statistics, world-renowned statistician David Spiegelhalter shows readers how to derive knowledge from raw data by focusing on the concepts and connections behind the math. Drawing on real world examples to introduce complex issues, he shows us how statistics can help us determine the luckiest passenger on the Titanic, whether a notorious serial killer could have been caught earlier, and if screening for ovarian cancer is beneficial. The Art of Statistics not only shows us how mathematicians have used statistical science to solve these problems -- it teaches us how we too can think like statisticians. We learn how to clarify our questions, assumptions, and expectations when approaching a problem, and -- perhaps even more importantly -- we learn how to responsibly interpret the answers we receive. Combining the incomparable insight of an expert with the playful enthusiasm of an aficionado, The Art of Statistics is the definitive guide to stats that every modern person needs.

    The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and in the process venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.

    What he lacked in experience and expertise, he made up for in enthusiasm. Or so he hoped.When the family arrived on a lonely hill in northern New South Wales, they had no electricity, no running water, no telephone and no choice but to make that tangle of bush their home. From Angela Wales, eldest of the five kids, comes this extraordinarily vivid and evocative account of the next ten years as they tried to tame six thousand acres and navigate the challenges of country life.Filled with drama and hilarity, joy and back-breaking toil, Barefoot in the Bindis portrays a childhood spent in the bush, and is a sensational picture of Australia past.

    Packed with enough jokes to fill a whole new series, "Mock the Week: This Year's Book! "is a colourful riot of near-the-knuckle humour; the perfect gift for the show's devoted fans this Christmas. Categories include:UNLIKELY DICTIONARY DEFINITIONS: Fart (noun) - expulsion of trapped methane from the anus, possibly the funniest thing ever.UNLIKELY AGONY AUNT LETTERS: Dear Agony Aunt, I keep getting dangerous advice from hugely unqualified people - what do you suggest I do?CARDS YOU NEVER SEE IN A NEWSAGENT'S WINDOW: Child Minder Available - He may be small, but he's rock hard.UNLIKELY OBITUARIES: Died suddenly and peacefully on an electric chair at the New York State Penitentiary.UNNERVING THINGS TO HEAR IN A MEDICAL EXAM: 'So how bad is this premature . . . eeearrgh!'UNSUCCESSFUL JOB APPLICATIONS: You must hire me, before I kill again!