Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science. He explores the relationship between Newton and Leibniz, the men behind the calculus; looks at how the mathematics that Euler invented 200 years ago paved the way for the internet and discovers how Fourier transformed our understanding of heat, light and sound. In addition, he finds out how Galois’ mathematics describes the particles that make up our universe, how Gaussian distribution underpins modern medicine, and how Riemann’s maths helped Einstein with his theory of relativity. Finally, he introduces Cantor, who discovered infinite numbers; Poincaré, whose work gave rise to chaos theory; G.H. Hardy, whose work inspired the millions of codes that help to keep the internet safe, and Nicolas Bourbaki, the mathematician who never was. The BBC Radio 4 series looking at the people who shaped modern mathematics, written and presented by Marcus du Sautoy. 1 CDs, 150 minutes

    In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it.Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer?How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God.Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.

    The overt economic function of this appeal is to make us buy things. Its ideological function, however, is to involve us as 'individuals' in perpetuating the ideas which endorse the economic basis of our society. If it is economic conditions which make ideology necessary, it is ideology which makes those conditions seem necessary.If society is to be changed, this vicious circle of necessity and ideas must be broken. Decoding Advertisements is an attempt to undo one link in the chain which we ourselves help to forge, in our acceptance not only of the images and values of advertising, but of the 'transparent' forms and structures in which they are embodied. It provides not an answer, but a set of tools which we can use to alter our own perceptions of one of society's subtlest and most complex forms of propaganda.Other books by Judith Williamson published by Marion Boyars are Consuming Passions: the Dynamics of Popular Culture and Deadline at Dawn: Film Criticism 1980-1990.

    Now in paperback, Dr Jeffrey Schwartz and Sharon Begley's groundbreaking work, The Mind and the Brain, argues exactly the opposite: that the mind has a life of its own.Dr Schwartz, a leading researcher in brain dysfunctions, and Wall Street Journal science columnist Sharon Begley demonstrate that the human mind is an independent entity that can shape and control the functioning of the physical brain. Their work has its basis in our emerging understanding of adult neuroplasticity–the brain's ability to be rewired not just in childhood, but throughout life, a trait only recently established by neuroscientists.Through decades of work treating patients with obsessive–compulsive disorder (OCD), Schwartz made an extraordinary finding: while following the therapy he developed, his patients were effecting significant and lasting changes in their own neural pathways. It was a scientific first: by actively focusing their attention away from negative behaviors and toward more positive ones, Schwartz's patients were using their minds to reshape their brains–and discovering a thrilling new dimension to the concept of neuroplasticity.The Mind and the Brain follows Schwartz as he investigates this newly discovered power, which he calls self–directed neuroplasticity or, more simply, mental force. It describes his work with noted physicist Henry Stapp and connects the concept of 'mental force' with the ancient practice of mindfulness in Buddhist tradition. And it points to potential new applications that could transform the treatment of almost every variety of neurological dysfunction, from dyslexia to stroke–and could lead to new strategies to help us harness our mental powers. Yet as wondrous as these implications are, perhaps even more important is the philosophical dimension of Schwartz's work. For the existence of mental force offers convincing scientific evidence of human free will, and thus of man's inherent capacity for moral choice.

    Practical exercises in inner and outer observation and moral development are described.By patiently and persistently following these suggestions, new "organs" of soul and spirit begin to form, revealing the contours of higher worlds that had been concealed from us. Here, Rudolf Steiner is available as teacher, counselor, and friend. His advice is practical, clear, and powerful.

    During flow, people typically experience deep enjoyment, creativity, and a total involvement with life. Csikszentmihalyi demonstrates the ways this positive state can be controlled, not just left to chance. Flow: The Psychology of Optimal Experience teaches how, by ordering the information that enters our consciousness, we can discover true happiness, unlock our potential, and greatly improve the quality of our lives.

    • Does Ecstasy cause brain damage? • Why is crack more addictive than cocaine? • What questions regarding drugs are legal to ask in a job interview? • When does marijuana possession carry a greater prison sentence than murder?Illegal Drugs is the first comprehensive reference to offer timely, pertinent information on every drug currently prohibited by law in the United States.  It includes their histories, chemical properties and effects, medical uses and recreational abuses, and associated health problems, as well as addiction and treatment information.Additional survey chapters discuss general and historical information on illegal drug use, the effect of drugs on the brain, the war on drugs, drugs in the workplace, the economy and culture of illegal drugs, and information on thirty-three psychoactive drugs that are legal in the United States, from caffeine, alcohol and tobacco to betel nuts and kava kava.This book is a must-have resource for students, parents, health care workers, law enforcement officers, and anyone else who needs accurate information about drugs.

    Now, here is the complete shooting script of this extraordinary film from Universal Pictures, Dreamworks Pictures, and Spyglass Entertainment, featuring a foreword from "Seabiscuit" author Laura Hillenbrand and thirty full-color still photos from the motion picture. An American epic of triumph and perseverance set during the Great Depression, this stunning adaptation brilliantly dramatizes the story of the three men and the down-and-out racehorse that took them and the entire nation on the ride of a lifetime.

    That’s what we tell ourselves when facing a tricky problem or a difficult project. But a growing body of research indicates that we’ve got it exactly backwards. What we need to do, says acclaimed science writer Annie Murphy Paul, is think outside the brain. A host of “extra-neural” resources—the feelings and movements of our bodies, the physical spaces in which we learn and work, and the minds of those around us— can help us focus more intently, comprehend more deeply, and create more imaginatively. The Extended Mind outlines the research behind this exciting new vision of human ability, exploring the findings of neuroscientists, cognitive scientists, psychologists, and examining the practices of educators, managers, and leaders who are already reaping the benefits of thinking outside the brain. She excavates the untold history of how artists, scientists, and authors—from Jackson Pollock to Jonas Salk to Robert Caro—have used mental extensions to solve problems, make discoveries, and create new works. In the tradition of Howard Gardner’s Frames of Mind or Daniel Goleman’s Emotional Intelligence, The Extended Mind offers a dramatic new view of how our minds work, full of practical advice on how we can all think better.

    Or the blissful abandon of a golden retriever racing with glee across a lawn. This is the joy of play. By definition, play is purposeless and all-consuming. And, most important, it’s fun. As we become adults, taking time to play feels like a guilty pleasure—a distraction from “real” work and life. But as Dr. Stuart Brown illustrates, play is anything but trivial. It is a biological drive as integral to our health as sleep or nutrition. In fact, our ability to play throughout life is the single most important factor in determining our success and happiness. Dr. Brown has spent his career studying animal behavior and conducting more than six thousand “play histories” of humans from all walks of life—from serial murderers to Nobel Prize winners. Backed by the latest research, Play explains why play is essential to our social skills, adaptability, intelligence, creativity, ability to problem solve, and more. Play is hardwired into our brains—it is the mechanism by which we become resilient, smart, and adaptable people. Beyond play’s role in our personal fulfillment, its benefits have profound implications for child development and the way we parent, education and social policy, business innovation, productivity, and even the future of our society. From new research suggesting the direct role of three-dimensional-object play in shaping our brains to animal studies showing the startling effects of the lack of play, Brown provides a sweeping look at the latest breakthroughs in our understanding of the importance of this behavior. A fascinating blend of cutting-edge neuroscience, biology, psychology, social science, and inspiring human stories of the transformative power of play, this book proves why play just might be the most important work we can ever do.

    Smoking has gone from doctor recommended to deadly. We used to think the Earth was the center of the universe and that Pluto was a planet. For decades, we were convinced that the brontosaurus was a real dinosaur. In short, what we know about the world is constantly changing.   But it turns out there’s an order to the state of knowledge, an explanation for how we know what we know. Samuel Arbesman is an expert in the field of scientometrics—literally the science of science. Knowl­edge in most fields evolves systematically and predict­ably, and this evolution unfolds in a fascinating way that can have a powerful impact on our lives.   Doctors with a rough idea of when their knowl­edge is likely to expire can be better equipped to keep up with the latest research. Companies and govern­ments that understand how long new discoveries take to develop can improve decisions about allocating resources. And by tracing how and when language changes, each of us can better bridge gen­erational gaps in slang and dialect.   Just as we know that a chunk of uranium can break down in a measurable amount of time—a radioactive half-life—so too any given field’s change in knowledge can be measured concretely. We can know when facts in aggregate are obsolete, the rate at which new facts are created, and even how facts spread.   Arbesman takes us through a wide variety of fields, including those that change quickly, over the course of a few years, or over the span of centuries. He shows that much of what we know consists of “mesofacts”—facts that change at a middle timescale, often over a single human lifetime. Throughout, he of­fers intriguing examples about the face of knowledge: what English majors can learn from a statistical analysis of The Canterbury Tales, why it’s so hard to measure a mountain, and why so many parents still tell kids to eat their spinach because it’s rich in iron.   The Half-life of Facts is a riveting journey into the counterintuitive fabric of knowledge. It can help us find new ways to measure the world while accepting the limits of how much we can know with certainty.

    The Indian Sufi master Hazrat Inayat Khan (1882-1927), the first teacher to bring the Islamic mystical tradition to the West, was an accomplished musician himself. His lucid exposition of music's divine nature has become a modern classic, beloved not only by those interested in Sufism but by musicians of all kinds.

    Back then, most experts believed that differences in how girls and boys behave are mainly due to differences in how they were treated by their parents, teachers, and friends.It's hard to cling to that belief today. An avalanche of research over the past twenty years has shown that sex differences are more significant and profound than anybody guessed. Sex differences are real, biologically programmed, and important to how children are raised, disciplined, and educated. In Why Gender Matters, psychologist and family physician Dr. Leonard Sax leads parents through the mystifying world of gender differences by explaining the biologically different ways in which children think, feel, and act. He addresses a host of issues, including discipline, learning, risk taking, aggression, sex, and drugs, and shows how boys and girls react in predictable ways to different situations. For example, girls are born with more sensitive hearing than boys, and those differences increase as kids grow up. So when a grown man speaks to a girl in what he thinks is a normal voice, she may hear it as yelling. Conversely, boys who appear to be inattentive in class may just be sitting too far away to hear the teacher—especially if the teacher is female. Likewise, negative emotions are seated in an ancient structure of the brain called the amygdala. Girls develop an early connection between this area and the cerebral cortex, enabling them to talk about their feelings. In boys these links develop later. So if you ask a troubled adolescent boy to tell you what his feelings are, he often literally cannot say.Dr. Sax offers fresh approaches to disciplining children, as well as gender-specific ways to help girls and boys avoid drugs and early sexual activity. He wants parents to understand and work with hardwired differences in children, but he also encourages them to push beyond gender-based stereotypes. A leading proponent of single-sex education, Dr. Sax points out specific instances where keeping boys and girls separate in the classroom has yielded striking educational, social, and interpersonal benefits. Despite the view of many educators and experts on child-rearing that sex differences should be ignored or overcome, parents and teachers would do better to recognize, understand, and make use of the biological differences that make a girl a girl, and a boy a boy.

    When we are no longer limited by our thinking mind, suffering and pain disappears and we are able to move forward towards a new understanding of our relationships, of nature and of the profound wisdom that is to be found in stillness.

    The Sociology Book takes on some of humankind's biggest questions: What is society? What makes it tick? Why do we interact in the way that we do with our friends, coworkers, and rivals? The Sociology Book profiles the world's most renowned sociologists and more than 100 of their biggest ideas, including issues of equality, diversity, identity, and human rights; the effects of globalization; the role of institutions; and the rise of urban living in modern societyEasy to navigate and chock-full of key concepts, profiles of major sociological thinkers, and conversation starters galore, this is a must-have, in-a-nutshell guide to some of the most fascinating questions on earth.The Sociology Book is part of the award-winning Big Ideas Simply Explained series, designed to distill big ideas and elusive theories into graspable, memorable concepts, using an approachable graphic treatment and creative typography.