In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures found throughout nature - from the arrangement of whorls on a pinecone to the branches of certain plant stems. All of which is astounding evidence for the deep mathematical basis of the natural world. With admirable clarity, two veteran math educators take us on a fascinating tour of the many ramifications of the Fibonacci numbers. They begin with a brief history of a distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples). In art, architecture, the stock market, and other areas of society and culture, they point out numerous examples of the Fibonacci sequence as well as its derivative, the "golden ratio." And of course in mathematics, as the authors amply demonstrate, there are almost boundless applications in probability, number theory, geometry, algebra, and Pascal's triangle, to name a few.Accessible and appealing to even the most math-phobic individual, this fun and enlightening book allows the reader to appreciate the elegance of mathematics and its amazing applications in both natural and cultural settings.

    In Elephants on Acid, Boese details the results of this scientific trial, as well as answers to the questions: Why can't people tickle themselves? Would the average dog summon help in an emergency? Will babies instinctually pick a well-balanced diet? Is it possible to restore life to the dead? Read on to find out...

    Drawing on the treasure trove of information from Scientific American and Scientific American Mind magazines as well as original material written specifically for this book, Judith Horstman weaves together a compelling description of your brain at work and at play. The Scientific American Day in the Life of Your Brain reveals what's going on in there while you sleep and dream, how your brain makes memories and forms addictions and why we sometimes make bad decisions. The book also offers intriguing information about your emotional brain, and what's happening when you're feeling love, lust, fear and anxiety--and how sex, drugs and rock and roll tickle the same spots.Based on the latest scientific information, the book explores your brain's remarkable ability to change, how your brain can make new neurons even into old age and why multitasking may be bad for you.Your brain is uniquely yours - but research is showing many of its day-to-day cycles are universal. This book gives you a look inside your brain and some insights into why you may feel and act as you do.The Scientific American Day in the Life of Your Brain is written in the entertaining, informative and easy-to-understand style that fans of Scientific American and Scientific American Mind magazine have come to expect.

    It’s about being a part of a community, knowing that contributions matter and experiencing a greater affiliation with others.The premise begins at the 2003 Harley-Davidson Motorcycle company’s 100 year anniversary celebration. Thousands and thousands of bikers throughout the world attended the event. As a Harley owner stoodproudly by his bike at that event, what two words from a passerby would have made their weekend? “Nice Bike.”“Nice Bike” is more than a casual compliment. It’s the engine that is fueled with the three actions of acknowledging, honoring and connecting with others. Nice Bike can help you with your daily interactions, create more meaningful relationships and add more joy in your journey on the road of life.When you have a better understanding of how to make meaningful connections, you can live a life filled with a greater sense of self worth and accomplishment in your work and in your life. Acknowledge, honor, and connect and you will change the world, one person at a time.

    Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation.In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge--from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool--the general principle--from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems.Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.

    Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.

    Is luck a cosmic force that we can randomly stumble upon, or is there something real that people we consider lucky have discovered? The Science of Being Lucky is an in-depth look at what all lucky people have in common and how they set themselves up for success time after time.Put success into your own hands, not fate's.The Science of Being Lucky takes you on a science-based journey into what luck is, what we think it is, and how to get more of it in your life. The journey begins by breaking down and defining the lucky breaks, coincidences, and serendipitous events in our lives - then delves into the specific traits, life factors, and perspectives that create lucky outcomes.The Science of Being Lucky will open your eyes to what is behind each moment you would call lucky and give you a concrete action plan to create more of the same. Luck doesn't have to be just fantasy.Become immune to bad luck.Peter Hollins has studied psychology and peak human performance for over a dozen years and is a bestselling author. He has worked with dozens of individuals to unlock their potential and path towards success. His writing draws on his academic, coaching, and research experience. He's no stranger to bad luck, having broken the same toe three times, but he's found ways to reverse his luck and live the good life.Ditch the lucky underwear and rabbit's foot.-The human illusion of control and lucky thinking.-Popular methods for luck - do they work? (One does, one does not)-The downside of probabilities.-Avoiding bad luck internally and externally.Set yourself up for inevitable success.-Coincidence, serendipity, and other "small world" phenomenon.-Three traits that practically manufacture luck.-Max Gunther's famous "strategic luck planning" approach to life.Stack the deck in your favor and live better.The Science of Being Lucky will teach you how to turn lead into gold, a cloudy day into paradise, and your life into the stuff of movies.You will learn to create the conditions for luck and success instead of hoping for them. The more you internalize these mindsets, the luckier you'll get until your friends ask you what your secret is. The secret? It's not actually about luck."Break a leg" TODAY by scrolling up and clicking the BUY NOW button!

    Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."

    Conscious Robots challenges us to face up to the reality of being human: just because we're conscious doesn't mean we're not robots. So what would we do with free will if we really had it? And how does “being a robot” explain why life, as Buddha suggested, is “inherently unsatisfactory”, despite our luxurious homes, successful careers and loving families? Conscious Robots shows why we’re so convinced that we’re in charge, when we’re really just carrying out our evolved pre-programmed instructions. And reveals the inevitable future, how one day humans will take control of their conscious minds, get happy and stay happy. But it will come too late for you, Dear Reader… so no point buying the book. Unless you’re extremely rich, of course. Then you can pay for the neurochemical research yourself. “Easy to understand and persuasive” “Reminded me of Douglas Adams and Terry Pratchett”

    This includes further education, adult and community learning, work-based learning, the forces and offender learning and skills. It is easy to read with plenty of practical activities and examples throughout and the content is fully linked to the Teacher Training Standards. Please note: This book has since been updated to reflect the new title of the qualification: The Award in Education and Training.The qualification unit content contained in the appendices has since changed, and some legislation mentioned in the book has been updated.

    By 1949, Godel had produced a remarkable proof: In any universe described by the Theory of Relativity, time cannot exist. Einstein endorsed this result reluctantly but he could find no way to refute it, since then, neither has anyone else. Yet cosmologists and philosophers alike have proceeded as if this discovery was never made. In A World Without Time, Palle Yourgrau sets out to restore Godel to his rightful place in history, telling the story of two magnificent minds put on the shelf by the scientific fashions of their day, and attempts to rescue the brilliant work they did together.

    He did not claim he was God’s agent. Did he believe in God? Did he look for a sign when he was desperate? Did he follow the Divine Will? Many believers are not followers; many followers are not believers. Is he a believer or a follower or both?

    Purchasers are entitled to a free trial membership in the General Books Club where they can select from more than a million books without charge. Subjects: Astronomy; History / General; Juvenile Nonfiction / Science

    Many people regard mathematicians as a race apart, possessed of almost supernatural powers. While this is very flattering for successful mathematicians, it is very bad for those who, for one reason or another, are attempting to learn the subject.'W.W. Sawyer's deep understanding of how we learn and his lively, practical approach have made this an ideal introduction to mathematics for generations of readers. By starting at the level of simple arithmetic and algebra and then proceeding step by step through graphs, logarithms and trigonometry to calculus and the dizzying world of imaginary numbers, the book takes the mystery out of maths. Throughout, Sawyer reveals how theory is subordinate to the real-life applications of mathematics - the Pyramids were built on Euclidean principles three thousand years before Euclid formulated them - and celebrates the sheer intellectual stimulus of mathematics at its best.

    Joshua Mezrich creates life from loss, transplanting organs from one body to another. In this intimate, profoundly moving work, he illuminates the extraordinary field of transplantation that enables this kind of miracle to happen every day.When Death Becomes Life is a thrilling look at how science advances on a grand scale to improve human lives. Mezrich examines more than one hundred years of remarkable medical breakthroughs, connecting this fascinating history with the inspiring and heartbreaking stories of his transplant patients. Combining gentle sensitivity with scientific clarity, Mezrich reflects on his calling as a doctor and introduces the modern pioneers who made transplantation a reality—maverick surgeons whose feats of imagination, bold vision, and daring risk taking generated techniques and practices that save millions of lives around the world.Mezrich takes us inside the operating room and unlocks the wondrous process of transplant surgery, a delicate, intense ballet requiring precise timing, breathtaking skill, and at times, creative improvisation. In illuminating this work, Mezrich touches the essence of existence and what it means to be alive. Most physicians fight death, but in transplantation, doctors take from death. Mezrich shares his gratitude and awe for the privilege of being part of this transformative exchange as the dead give their last breath of life to the living. After all, the donors are his patients, too.When Death Becomes Life also engages in fascinating ethical and philosophical debates: How much risk should a healthy person be allowed to take to save someone she loves? Should a patient suffering from alcoholism receive a healthy liver? What defines death, and what role did organ transplantation play in that definition? The human story behind the most exceptional medicine of our time, Mezrich’s riveting book is a beautiful, poignant reminder that a life lost can also offer the hope of a new beginning.