Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.Brought up to date with a new chapter by Ian Stewart, What is Mathematics? Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.Formal mathematics is like spelling and grammar - a matter of the correct application of local rules. Meaningful mathematics is like journalism - it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature - it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature - it opens a window onto the world of mathematics for anyone interested to view.

    Explaining why the whole is sometimes smarter than the sum of its parts, Johnson presents surprising examples of feedback, self-organization, and adaptive learning. How does a lively neighborhood evolve out of a disconnected group of shopkeepers, bartenders, and real estate developers? How does a media event take on a life of its own? How will new software programs create an intelligent World Wide Web? In the coming years, the power of self-organization -- coupled with the connective technology of the Internet -- will usher in a revolution every bit as significant as the introduction of electricity. Provocative and engaging, Emergence puts you on the front lines of this exciting upheaval in science and thought.

    Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. She flunked her way through high school math and science courses, before enlisting in the army immediately after graduation. When she saw how her lack of mathematical and technical savvy severely limited her options—both to rise in the military and to explore other careers—she returned to school with a newfound determination to re-tool her brain to master the very subjects that had given her so much trouble throughout her entire life. In A Mind for Numbers, Dr. Oakley lets us in on the secrets to effectively learning math and science—secrets that even dedicated and successful students wish they’d known earlier. Contrary to popular belief, math requires creative, as well as analytical, thinking. Most people think that there’s only one way to do a problem, when in actuality, there are often a number of different solutions—you just need the creativity to see them. For example, there are more than three hundred different known proofs of the Pythagorean Theorem. In short, studying a problem in a laser-focused way until you reach a solution is not an effective way to learn math. Rather, it involves taking the time to step away from a problem and allow the more relaxed and creative part of the brain to take over. A Mind for Numbers shows us that we all have what it takes to excel in math, and learning it is not as painful as some might think!

    Scientists have long supported this assumption by claiming that emotions are hardwired in the body or the brain. Today, however, the science of emotion is in the midst of a revolution on par with the discovery of relativity in physics and natural selection in biology—ans this paradigm shift has far-reaching implications for us all.Leading the charge is psychologist and neuroscientist Lisa Feldman Barrett, whose theory of emotion is driving a deeper understanding of the mind and brain, and shedding new light on what it means to be human. Her research overturns the widely held belief that emotions are housed in different parts of the brain and are universally expressed and recognized. Instead, she has shown that emotion is constructed in the moment, by core systems that interact across the whole brain, aided by a lifetime of learning. This new theory means that you play a much greater role in your emotional life than you ever thought. Its repercussions are already shaking the foundations not only of psychology but also of medicine, the legal system, child-rearing, meditation, and even airport security.Why do emotions feel automatic? Does rational thought really control emotion? How does emotion affect disease? How can you make your children more emotionally intelligent? How Emotions Are Made answers these questions and many more, revealing the latest research and intriguing practical applications of the new science of emotion, mind, and brain.

    Its authors present a new view of cognition that has important social and ethical implications, for, they assert, the only world we humans can have is the one we create together through the actions of our coexistence. Written for a general audience as well as for students, scholars, and scientists and abundantly illustrated with examples from biology, linguistics, and new social and cultural phenomena, this revised edition includes a new afterword by Dr. Varela, in which he discusses the effect the book has had in the years since its first publication.

    But by knowing what they are and how to spot them, we can avoid them and make better choices-whether dealing with a personal problem or a business negotiation; trying to save money or make money; working out what we do or don't want in life: and how best to get it.Simple, clear and always surprising, this indispensable book will change the way you think and transform your decision-making-work, at home, every day. It reveals, in 99 short chapters, the most common errors of judgment, and how to avoid them.

    When we make mistakes, we must calm the cognitive dissonance that jars our feelings of self-worth. And so we create fictions that absolve us of responsibility, restoring our belief that we are smart, moral, and right -- a belief that often keeps us on a course that is dumb, immoral, and wrong. Backed by years of research and delivered in lively, energetic prose, Mistakes Were Made (But Not by Me) offers a fascinating explanation of self-deception -- how it works, the harm it can cause, and how we can overcome it.

    Wright unveils the genetic strategies behind everything from our sexual preferences to our office politics--as well as their implications for our moral codes and public policies. Illustrations.

    Everything that makes you you, and all your experiences of the world, are somehow conjured up by 1.4 kilograms of grey matter inside your skull. That might seem impossible, but science has advanced so much that we now understand not just its structures and inner workings but also how it can give rise to perception, consciousness, emotions, memories, intelligence, sleep and more.HOW YOUR BRAIN WORKS explores the amazing world inside your head. Discover the evolution and anatomy of the brain. Learn how we can peer inside it and watch it at work, and how the latest technology can allow us to control our minds and those of others.ABOUT THE SERIESNew Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.

    But is his extraordinary intellect merely a gift of fiction, or can we learn to cultivate these abilities ourselves, to improve our lives at work and at home?We can, says psychologist and journalist Maria Konnikova, and in Mastermind she shows us how. Beginning with the "brain attic"--Holmes's metaphor for how we store information and organize knowledge--Konnikova unpacks the mental strategies that lead to clearer thinking and deeper insights. Drawing on twenty-first-century neuroscience and psychology, Mastermind explores Holmes's unique methods of ever-present mindfulness, astute observation, and logical deduction. In doing so, it shows how each of us, with some self-awareness and a little practice, can employ these same methods to sharpen our perceptions, solve difficult problems, and enhance our creative powers. For Holmes aficionados and casual readers alike, Konnikova reveals how the world's most keen-eyed detective can serve as an unparalleled guide to upgrading the mind.

    Since the publication of the award-winning first edition of Evolutionary Psychology, there has been an explosion of research within the field. In this book, David M. Buss examines human behavior from an evolutionary perspective, providing students with the conceptual tools needed to study evolutionary psychology and apply them to empirical research on the human mind. This edition contains expanded coverage of cultural evolution, with a new section on culture–gene co-evolution, additional studies discussing interbreeding between modern humans and Neanderthals, expanded discussions of evolutionary hypotheses that have been empirically disconfirmed, and much more!

     For his groundbreaking sexual research, Alfred Kinsey and his team interviewed 18,000 people, relying on them to honestly report their most intimate experiences. Using the Internet, the neuroscientists Ogas and Gaddam quietly observed the raw sexual behaviors of half a billion people. By combining their observations with neuroscience and animal research, these two young neuroscientists finally answer the long-disputed question: what do people really like? Ogas and Gaddam's findings are transforming the way scientists and therapists think about sexual desire. In their startling book, Ogas and Gaddam analyze a "billion wicked thoughts" on the Internet: a billion Web searches, a million individual search histories, a million erotic stories, a half-million erotic videos, a million Web sites, millions of online personal ads, and many other enormous sources of sexual data in order to understand the true differences between male and female desires, including: ?Men and women have hardwired sexual cues analogous to our hardwired tastes-there are sexual versions of sweet, sour, salty, savory, and bitter. But men and women are wired with different sets of cues. ?The male sexual brain resembles a reckless hunter, while the female sexual brain resembles a cautious detective agency. ?Men form their sexual interests during adolescence and rarely change. Women's sexual interests are plastic and change frequently. ?The male sexual brain is an "or gate": A single stimulus can arouse it. The female sexual brain is an "and gate": It requires many simultaneous stimuli to arouse it. ?When it comes to sexual arousal, men prefer overweight women to underweight women, and a significant number of men seek out erotic images of women in their 40s, 50s, and 60s. ?Women enjoy writing and sharing erotic stories with other women. The fastest growing genre of erotic stories for women are stories about two heterosexual men having sex. ?Though the male sexual brain is much more different from the female sexual brain than is commonly believed, the sexual brain of gay men is virtually identical to that of straight men. Featuring cutting-edge, jaw-dropping science, this wildly entertaining and controversial book helps readers understand their partner's sexual desires with a depth of knowledge unavailable from any other source. Its fascinating and occasionally disturbing findings will rock our modern understanding of sexuality, just as Kinsey's reports did sixty years ago.

     And You're About to Learn How to Use His Memory Strategies to Learn Faster, Be More Productive and Achieve More Success Most people never tap into 10% of their potential for memory. In this book, you're about to learn: How the World's Top Memory Experts Concentrate and Remember Any Information at Will, and How You Can Too Do you ever feel like you're too busy, too stressed or just too distracted to concentrate and get work done? In Unlimited Memory, you'll learn how the world's best memory masters get themselves to concentrate at will, anytime they want. When you can easily focus and concentrate on the task at hand, and store and recall useful information, you can easily double your productivity and eliminate wasted time, stress and mistakes at work. In this book, you'll find all the tools, strategies and techniques you need to improve your memory. About the Author For over 20 years, KEVIN HORSLEY has been analyzing the mind and memory and its capacity for brilliance. He is one of only a few people in the world to have received the title International Grandmaster of Memory. He is a World Memory Championship medalist, and a two-time World Record holder for The Everest of memory tests. Kevin is also an author of four books, and the designer of a times table game with the Serious Games Institute at North-West University Vaal Campus. Kevin is a professional speaker, and assists organizations in improving their learning, motivation, creativity, and thinking.

    Our brains, therefore, are designed not just to hunt and gather, but also to help us get ahead socially, often via deception and self-deception. But while we may be self-interested schemers, we benefit by pretending otherwise. The less we know about our own ugly motives, the better - and thus we don't like to talk or even think about the extent of our selfishness. This is "the elephant in the brain." Such an introspective taboo makes it hard for us to think clearly about our nature and the explanations for our behavior. The aim of this book, then, is to confront our hidden motives directly - to track down the darker, unexamined corners of our psyches and blast them with floodlights. Then, once everything is clearly visible, we can work to better understand ourselves: Why do we laugh? Why are artists sexy? Why do we brag about travel? Why do we prefer to speak rather than listen?Our unconscious motives drive more than just our private behavior; they also infect our venerated social institutions such as Art, School, Charity, Medicine, Politics, and Religion. In fact, these institutions are in many ways designed to accommodate our hidden motives, to serve covert agendas alongside their "official" ones. The existence of big hidden motives can upend the usual political debates, leading one to question the legitimacy of these social institutions, and of standard policies designed to favor or discourage them. You won't see yourself - or the world - the same after confronting the elephant in the brain.

    His fascinating quest draws on the history of philosophy, but also anthropology, sociology, psychology and neurology; he talks to theologians, priests, allegedly reincarnated Lamas, and delves into real-life cases of lost memory, personality disorders and personal transformation; and, candidly and engagingly, he describes his own experiences. After reading "The Ego Trick," you will never see yourself in the same way again.