The science of complexity studies how single elements, such as a species or a stock, spontaneously organize into complicated structures like ecosystems and economies; stars become galaxies, and snowflakes avalanches almost as if these systems were obeying a hidden yearning for order. Drawing from diverse fields, scientific luminaries such as Nobel Laureates Murray Gell-Mann and Kenneth Arrow are studying complexity at a think tank called The Santa Fe Institute. The revolutionary new discoveries researchers have made there could change the face of every science from biology to cosmology to economics. M. Mitchell Waldrop's groundbreaking bestseller takes readers into the hearts and minds of these scientists to tell the story behind this scientific revolution as it unfolds.

    The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text.

    We live in an interesting time. Materially, everything is the best it’s ever been—we are freer, healthier and wealthier than any people in human history. Yet, somehow everything seems to be irreparably and horribly f*cked—the planet is warming, governments are failing, economies are collapsing, and everyone is perpetually offended on Twitter. At this moment in history, when we have access to technology, education and communication our ancestors couldn’t even dream of, so many of us come back to an overriding feeling of hopelessness.What’s going on? If anyone can put a name to our current malaise and help fix it, it’s Mark Manson. In 2016, Manson published The Subtle Art of Not Giving A F*ck, a book that brilliantly gave shape to the ever-present, low-level hum of anxiety that permeates modern living. He showed us that technology had made it too easy to care about the wrong things, that our culture had convinced us that the world owed us something when it didn’t—and worst of all, that our modern and maddening urge to always find happiness only served to make us unhappier. Instead, the “subtle art” of that title turned out to be a bold challenge: to choose your struggle; to narrow and focus and find the pain you want to sustain. The result was a book that became an international phenomenon, selling millions of copies worldwide while becoming the #1 bestseller in 13 different countries.Now, in Everthing Is F*cked, Manson turns his gaze from the inevitable flaws within each individual self to the endless calamities taking place in the world around us. Drawing from the pool of psychological research on these topics, as well as the timeless wisdom of philosophers such as Plato, Nietzsche, and Tom Waits, he dissects religion and politics and the uncomfortable ways they have come to resemble one another. He looks at our relationships with money, entertainment and the internet, and how too much of a good thing can psychologically eat us alive. He openly defies our definitions of faith, happiness, freedom—and even of hope itself.With his usual mix of erudition and where-the-f*ck-did-that-come-from humor, Manson takes us by the collar and challenges us to be more honest with ourselves and connected with the world in ways we probably haven’t considered before. It’s another counterintuitive romp through the pain in our hearts and the stress of our soul. One of the great modern writers has produced another book that will set the agenda for years to come.

    How long should it take before you stop having to force it and start doing it automatically?The surprising answers are found in Making Habits, Breaking Habits, a psychologist's popular examination of one of the most powerful and under-appreciated processes in the mind. Although people like to think that they are in control, much of human behavior occurs without any decision-making or conscious thought.Drawing on hundreds of fascinating studies, psychologist Jeremy Dean busts the myths to finally explain why seemingly easy habits, like eating an apple a day, can be surprisingly difficult to form, and how to take charge of your brain's natural “autopilot” to make any change stick.Witty and intriguing, Making Habits, Breaking Habits shows how behavior is more than just a product of what you think. It is possible to bend your habits to your will—and be happier, more creative, and more productive.

    "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems."

    By analyzing the lives of such past masters as Charles Darwin, Benjamin Franklin, Albert Einstein, and Leonard da Vinci, as well as by interviewing nine contemporary masters, including tech guru Paul Graham and animal rights advocate Temple Grandin, Greene debunks our culture’s many myths about genius and distills the wisdom of the ages to reveal the secret to greatness. With this seminal text as a guide, readers will learn how to unlock the passion within and become masters.

    Bell, a leading figure in mathematics in America for half a century. Men of Mathematics accessibly explains the major mathematics, from the geometry of the Greeks through Newton's calculus and on to the laws of probability, symbolic logic, and the fourth dimension. In addition, the book goes beyond pure mathematics to present a series of engrossing biographies of the great mathematicians -- an extraordinary number of whom lived bizarre or unusual lives. Finally, Men of Mathematics is also a history of ideas, tracing the majestic development of mathematical thought from ancient times to the twentieth century. This enduring work's clear, often humorous way of dealing with complex ideas makes it an ideal book for the non-mathematician.

    This notion follows us into adulthood, where we tend to simply accept these established beliefs about our skillsets (i.e. that we don’t have “a math brain” or that we aren’t “the creative type”). These damaging—and as new science has revealed, false—assumptions have influenced all of us at some time, affecting our confidence and willingness to try new things and limiting our choices, and, ultimately, our futures.Stanford University professor, bestselling author, and acclaimed educator Jo Boaler has spent decades studying the impact of beliefs and bias on education. In Limitless Mind , she explodes these myths and reveals the six keys to unlocking our boundless learning potential. Her research proves that those who achieve at the highest levels do not do so because of a genetic inclination toward any one skill but because of the keys that she reveals in the book. Our brains are not “fixed,” but entirely capable of change, growth, adaptability, and rewiring. Want to be fluent in mathematics? Learn a foreign language? Play the guitar? Write a book? The truth is not only that anyone at any age can learn anything, but the act of learning itself fundamentally changes who we are, and as Boaler argues so elegantly in the pages of this book, what we go on to achieve.

    and now, The Fourth Dimension is this handy paperback. The result is a fantastic, enlightening, and mind-expanding reading experience. In text, pictures, and puzzles, master science and science fiction writer Rudy Rucker immerses his readers in an amazing exploration of a mysterious realm — a realm once seen only by mystics, physicists, and mathematicians. More accessible than Gödel, Escher, Bach and more playful than The Tao of Physics, Rucker's The Fourth Dimension is the most engaging tour of other dimensions since Flatland.David Povilaitis' 200 drawings illustrate Rucker's heady insights while dozens of puzzles and problems make the book a delight to the eye and mind. As Eileen Pollack has written in her rave review, The Fourth Dimension is "magical ... Its effects persist beyond its covers." That's because, like everything else in the fourth dimension, this is more than a book, it is a mental spaceship capable of grand tours of universes far beyond our own.

    Czerski provides the tools to alter the way we see everything around us by linking ordinary objects and occurrences, like popcorn popping, coffee stains, and fridge magnets, to big ideas like climate change, the energy crisis, or innovative medical testing. She provides answers to vexing questions: How do ducks keep their feet warm when walking on ice? Why does it take so long for ketchup to come out of a bottle? Why does milk, when added to tea, look like billowing storm clouds? In an engaging voice at once warm and witty, Czerski shares her stunning breadth of knowledge to lift the veil of familiarity from the ordinary.

    A how-to manual for hacking your head.

    There's a wonderful mix of science, history and wit, all in bite-sized chapters on a broad range of topics.Urgent and essential, Numbers Don't Lie inspires readers to interrogate what they take to be true in these significant times. Smil is on a mission to make facts matter, because after all, numbers may not lie, but which truth do they convey?'The best book to read to better understand our world. Once in a while a book comes along that helps us see our planet more clearly. By showing us numbers about science, health, green technology and more, Smil's book does just that. It should be on every bookshelf!' Linda Yueh, author of The Great Economists'He is rigorously numeric, using data to illuminate every topic he writes about. The word "polymath" was invented to describe people like him' Bill Gates 'Important' Mark Zuckerberg, on Energy 'One of the world's foremost thinkers on development history and a master of statistical analysis . . . The nerd's nerd' Guardian 'There is perhaps no other academic who paints pictures with numbers like Smil' Guardian 'In a world of specialized intellectuals, Smil is an ambitious and astonishing polymath who swings for fences . . . They're among the most data-heavy books you'll find, with a remarkable way of framing basic facts' Wired 'He's a slayer of bullshit' David Keith, Gordon McKay Professor of Applied Physics & Professor of Public Policy, Harvard UniversityVaclav Smil is Distinguished Professor Emeritus at the University of Manitoba. He is the author of over forty books on topics including energy, environmental and population change, food production and nutrition, technical innovation, risk assessment and public policy. No other living scientist has had more books (on a wide variety of topics) reviewed in Nature. A Fellow of the Royal Society of Canada, in 2010 he was named by Foreign Policy as one of the Top 100 Global Thinkers. This is his first book for a more general readership.

    Forget short-term symptoms like Donald Trump and Brexit, it is innovation itself that explains them and that will itself shape the 21st century for good and ill. Yet innovation remains a mysterious process, poorly understood by policy makers and businessmen, hard to summon into existence to order, yet inevitable and inexorable when it does happen.Matt Ridley argues in this book that we need to change the way we think about innovation, to see it as an incremental, bottom-up, fortuitous process that happens to society as a direct result of the human habit of exchange, rather than an orderly, top-down process developing according to a plan. Innovation is crucially different from invention, because it is the turning of inventions into things of practical and affordable use to people. It speeds up in some sectors and slows down in others. It is always a collective, collaborative phenomenon, not a matter of lonely genius. It is gradual, serendipitous, recombinant, inexorable, contagious, experimental and unpredictable. It happens mainly in just a few parts of the world at any one time. It still cannot be modelled properly by economists, but it can easily be discouraged by politicians. Far from there being too much innovation, we may be on the brink of an innovation famine.Ridley derives these and other lessons, not with abstract argument, but from telling the lively stories of scores of innovations, how they started and why they succeeded or in some cases failed. He goes back millions of years and leaps forward into the near future. Some of the innovation stories he tells are about steam engines, jet engines, search engines, airships, coffee, potatoes, vaping, vaccines, cuisine, antibiotics, mosquito nets, turbines, propellers, fertiliser, zero, computers, dogs, farming, fire, genetic engineering, gene editing, container shipping, railways, cars, safety rules, wheeled suitcases, mobile phones, corrugated iron, powered flight, chlorinated water, toilets, vacuum cleaners, shale gas, the telegraph, radio, social media, block chain, the sharing economy, artificial intelligence, fake bomb detectors, phantom games consoles, fraudulent blood tests, faddish diets, hyperloop tubes, herbicides, copyright and even – a biological innovation -- life itself.

    With the Big Bang, it went from a state of unimaginable density to an all-encompassing cosmic fireball to a simmering fluid of matter and energy, laying down the seeds for everything from dark matter to black holes to one rocky planet orbiting a star near the edge of a spiral galaxy that happened to develop life. But what happens at the end of the story? In billions of years, humanity could still exist in some unrecognizable form, venturing out to distant space, finding new homes and building new civilizations. But the death of the universe is final. What might such a cataclysm look like? And what does it mean for us? Dr. Katie Mack has been contemplating these questions since she was eighteen, when her astronomy professor first informed her the universe could end at any moment, setting her on the path toward theoretical astrophysics. Now, with lively wit and humor, she unpacks them in The End of Everything, taking us on a mind-bending tour through each of the cosmos’ possible finales: the Big Crunch; the Heat Death; Vacuum Decay; the Big Rip; and the Bounce. In the tradition of Neil DeGrasse’s bestseller Astrophysics for People in a Hurry, Mack guides us through major concepts in quantum mechanics, cosmology, string theory, and much more, in a wildly fun, surprisingly upbeat ride to the farthest reaches of everything we know.

    Simply stated, it asks whether every problem whose solution can be quickly checked by computer can also be quickly solved by computer. The Golden Ticket provides a nontechnical introduction to P-NP, its rich history, and its algorithmic implications for everything we do with computers and beyond. Lance Fortnow traces the history and development of P-NP, giving examples from a variety of disciplines, including economics, physics, and biology. He explores problems that capture the full difficulty of the P-NP dilemma, from discovering the shortest route through all the rides at Disney World to finding large groups of friends on Facebook. The Golden Ticket explores what we truly can and cannot achieve computationally, describing the benefits and unexpected challenges of this compelling problem.