We also need insights into the everyday things that frustrate and confuse us so that we can more effectively solve problems and get things done. Yet we know very little about when, why, or how insights are formed—or what blocks them. In Seeing What Others Don't, renowned cognitive psychologist Gary Klein unravels the mystery.Klein is a keen observer of people in their natural settings—scientists, businesspeople, firefighters, police officers, soldiers, family members, friends, himself—and uses a marvelous variety of stories to illuminate his research into what insights are and how they happen. What, for example, enabled Harry Markopolos to put the finger on Bernie Madoff? How did Dr. Michael Gottlieb make the connections between different patients that allowed him to publish the first announcement of the AIDS epidemic? What did Admiral Yamamoto see (and what did the Americans miss) in a 1940 British attack on the Italian fleet that enabled him to develop the strategy of attack at Pearl Harbor? How did a “smokejumper” see that setting another fire would save his life, while those who ignored his insight perished? How did Martin Chalfie come up with a million-dollar idea (and a Nobel Prize) for a natural flashlight that enabled researchers to look inside living organisms to watch biological processes in action?Klein also dissects impediments to insight, such as when organizations claim to value employee creativity and to encourage breakthroughs but in reality block disruptive ideas and prioritize avoidance of mistakes. Or when information technology systems are “dumb by design” and block potential discoveries. Both scientifically sophisticated and fun to read, Seeing What Others Don't shows that insight is not just a “eureka!” moment but a whole new way of understanding.

    Yet brain scientists have uncovered details every business leader, parent, and teacher should know—like the need for physical activity to get your brain working its best.How do we learn? What exactly do sleep and stress do to our brains? Why is multi-tasking a myth? Why is it so easy to forget—and so important to repeat new knowledge? Is it true that men and women have different brains?In Brain Rules, Dr. John Medina, a molecular biologist, shares his lifelong interest in how the brain sciences might influence the way we teach our children and the way we work. In each chapter, he describes a brain rule—what scientists know for sure about how our brains work—and then offers transformative ideas for our daily lives.Medina’s fascinating stories and infectious sense of humor breathe life into brain science. You’ll learn why Michael Jordan was no good at baseball. You’ll peer over a surgeon’s shoulder as he proves that most of us have a Jennifer Aniston neuron. You’ll meet a boy who has an amazing memory for music but can’t tie his own shoes.You will discover how:Every brain is wired differentlyExercise improves cognitionWe are designed to never stop learning and exploringMemories are volatileSleep is powerfully linked with the ability to learnVision trumps all of the other sensesStress changes the way we learnIn the end, you’ll understand how your brain really works—and how to get the most out of it.

    . . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book ReviewThis major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, "This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics contains both on the elementary and advanced levels."Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable. It furthur examines prime numbers, the theory of probability, approximations, and the role of computers in mathematics. The theory of functions of a real variable opens the final section, followed by discussions of linear algebra and nonEuclidian geometry, topology, functional analysis, and groups and other algebraic systems.Thorough, coherent explanations of each topic are further augumented by numerous illustrative figures, and every chapter concludes with a suggested reading list. Formerly issued as a three-volume set, this mathematical masterpiece is now available in a convenient and modestly priced one-volume edition, perfect for study or reference."This is a masterful English translation of a stupendous and formidable mathematical masterpiece . . ." — Social Science

    Each concept is quick and easy to remember, described by means of an easy-to-understand picture and a maximum 200-word explanation. Concepts span all of the key areas of mathematics, including Fundamentals of Mathematics, Sets and Numbers, Geometry, Equations, Limits, Functions and Calculus, Vectors and Algebra, Complex Numbers, Combinatorics, Number Theory, Metrics and Measures and Topology. Incredibly quick - clear artworks and simple explanations that can be easily remembered. Based on scientific research that the brain best absorbs information visually. Compact and portable format - the ideal, handy reference.

    In this collection of landmark mathematical works, editor Stephen Hawking has assembled the greatest feats humans have ever accomplished using just numbers and their brains.

    In The Tao of Chess, the author seamlessly blends the wisdom of a time-honoured spiritual quest for truth with 200 principles that will improve anyone's chess game. By following the author's principles, readers not only come to enjoy the game more, they develop a habit of seeking underlying truth - whether in a chess game or a real-life situation.The Tao of Chess is full of conscise advice, such as:Understanding is more important than memoryFortune favors the braveWhen you see a good move, wait and look for a better moveMistakes tend to come in bunchesTrust your intuition; it's usually rightAuthoritative and easy to follow, this book will turn every reader into a master strategist.

    Rethinking the usage guide for the twenty-first century, Pinker doesn’t carp about the decline of language or recycle pet peeves from the rulebooks of a century ago. Instead, he applies insights from the sciences of language and mind to the challenge of crafting clear, coherent, and stylish prose. In this short, cheerful, and eminently practical book, Pinker shows how writing depends on imagination, empathy, coherence, grammatical knowhow, and an ability to savor and reverse engineer the good prose of others. He replaces dogma about usage with reason and evidence, allowing writers and editors to apply the guidelines judiciously, rather than robotically, being mindful of what they are designed to accomplish. Filled with examples of great and gruesome prose, Pinker shows us how the art of writing can be a form of pleasurable mastery and a fascinating intellectual topic in its own right.

    Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations.

    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.

    Imagine being able to challenge anyone with seemingly impossible bets, safe in the knowledge that you will always win. Imagine no more. Richard Wiseman is a psychologist who has traveled the globe in search of the world's greatest bets and in "101 Bets You Will Always Win" he shows you how to use science, logic and a healthy dose of trickery always to be on the winning side of every bet you make. Using coins, dice, matchsticks and ordinary objects, you'll discover, among many other things,- how to balance a coin on the edge of a dollar bill - pick a cup up with a balloon - balance two forks and a matchstick on your fingertip - separate two glasses without touching themIn explaining the bets, Wiseman also explains the science behind them making what at first seems mystifying as natural as the laws of gravity. Let YouTube sensation Richard Wiseman turn you into one of those smart people who can say "I'll bet I can..." and know that you'll never lose.

    America's leadership expert John C. Maxwell will teach you how to be more creative and when to question popular thinking. You'll learn how to capture the big picture while focusing your thinking. You'll find out how to tap into your creative potential, develop shared ideas, and derive lessons from the past to better understand the future. With these eleven keys to more effective thinking, you'll clearly see the path to personal success.The 11 keys to successful thinking include:Big-Picture Thinking - seeing the world beyond your own needs and how that leads to great ideasFocused Thinking - removing mental clutter and distractions to realize your full potentialCreative Thinking - thinking in unique ways and making breakthroughsShared Thinking - working with others to compound resultsReflective Thinking - looking at the past to gain a better understanding of the future.

    But is it for the better? Amid a chorus of doomsayers, Clive Thompson delivers a resounding "yes." The Internet age has produced a radical new style of human intelligence, worthy of both celebration and analysis. We learn more and retain it longer, write and think with global audiences, and even gain an ESP-like awareness of the world around us. Modern technology is making us smarter, better connected, and often deeper—both as individuals and as a society. In Smarter Than You Think Thompson shows that every technological innovation—from the written word to the printing press to the telegraph—has provoked the very same anxieties that plague us today. We panic that life will never be the same, that our attentions are eroding, that culture is being trivialized. But as in the past, we adapt—learning to use the new and retaining what’s good of the old. Thompson introduces us to a cast of extraordinary characters who augment their minds in inventive ways. There's the seventy-six-year old millionaire who digitally records his every waking moment—giving him instant recall of the events and ideas of his life, even going back decades. There's a group of courageous Chinese students who mounted an online movement that shut down a $1.6 billion toxic copper plant. There are experts and there are amateurs, including a global set of gamers who took a puzzle that had baffled HIV scientists for a decade—and solved it collaboratively in only one month. Smarter Than You Think isn't just about pioneers. It's about everyday users of technology and how our digital tools—from Google to Twitter to Facebook and smartphones—are giving us new ways to learn, talk, and share our ideas. Thompson harnesses the latest discoveries in social science to explore how digital technology taps into our long-standing habits of mind—pushing them in powerful new directions. Our thinking will continue to evolve as newer tools enter our lives. Smarter Than You Think embraces and extols this transformation, presenting an exciting vision of the present and the future.

    Regarded by many as the most gifted and influential author and journalist in America today, Gladwell's rare ability to connect with audiences of such varied interests has ensured that each title become a phenomenal bestseller with more than ten million copies in print combined. Now, Gladwell's landmark investigations into the world around us are collected together for the first time. Beautifully repackaged and redesigned, including for the first time illustrations throughout each book, MALCOLM GLADWELL: COLLECTED is a perfect treasury of prose and provocation for Gladwell fans old and new.

    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.

    And human beings are gifted with an almost unlimited potential for learning and creativity. Now you can uncover your own hidden abilities, sharpen your senses, and liberate your unique intelligence—by following the example of the greatest genius of all time, Leonardo da Vinci.Acclaimed author Michael J. Gelb, who has helped thousands of people expand their minds to accomplish more than they ever thought possible, shows you how. Drawing on Da Vinci's notebooks, inventions, and legendary works of art, Gelb introduces Seven Da Vincian Principles—the essential elements of genius—from curiosità, the insatiably curious approach to life to connessione, the appreciation for the interconnectedness of all things. With Da Vinci as your inspiration, you will discover an exhilarating new way of thinking. And step-by-step, through exercises and provocative lessons, you will harness the power—and awesome wonder—of your own genius, mastering such life-changing abilities as: •Problem solving •Creative thinking •Self-expression •Enjoying the world around you •Goal setting and life balance •Harmonizing body and mindDrawing on Da Vinci's notebooks, inventions, and legendary works of art, acclaimed author Michael J. Gelb, introduces seven Da Vincian principles, the essential elements of genius, from curiosita, the insatiably curious approach to life, to connessione, the appreciation for the interconnectedness of all things. With Da Vinci as their inspiration, readers will discover an exhilarating new way of thinking. Step-by-step, through exercises and provocative lessons, anyone can harness the power and awesome wonder of their own genius, mastering such life-changing skills as problem solving, creative thinking, self-expression, goal setting and life balance, and harmonizing body and mind.