Maths is enjoying a resurgence in popularity. So how can you avoid being the only dinner guest who has no idea who Fermat was, or what he proved? The more you know about Maths, the less of a science it becomes. 30 Second Maths takes the top 50 most engaging mathematical theories, and explains them to the general reader in half a minute, using nothing more than two pages, 200 words and one picture. Read at your own pace, and discover that maths can be more fascinating than you ever imagined.

    Pittsburghers joked their town was the city of champions…and the Pirates. Big Data Baseball is the story of how the 2013 Pirates, mired in the longest losing streak in North American pro sports history, adopted drastic big-data strategies to end the drought, make the playoffs, and turn around the franchise's fortunes.Award-winning journalist Travis Sawchik takes you behind the scenes to expertly weave together the stories of the key figures who changed the way the small-market Pirates played the game. For manager Clint Hurdle and the front office staff to save their jobs, they could not rely on a free agent spending spree, instead they had to improve the sum of their parts and find hidden value. They had to change. From Hurdle shedding his old-school ways to work closely with Neal Huntington, the forward-thinking data-driven GM and his team of talented analysts; to pitchers like A. J. Burnett and Gerrit Cole changing what and where they threw; to Russell Martin, the undervalued catcher whose expert use of the nearly-invisible skill of pitch framing helped the team's pitchers turn more balls into strikes; to Clint Barmes, a solid shortstop and one of the early adopters of the unconventional on-field shift which forced the entire infield to realign into positions they never stood in before. Under Hurdle's leadership, a culture of collaboration and creativity flourished as he successfully blended whiz kid analysts with graybeard coaches—a kind of symbiotic teamwork which was unique to the sport.Big Data Baseball is Moneyball on steroids. It is an entertaining and enlightening underdog story that uses the 2013 Pirates season as the perfect lens to examine the sport's burgeoning big-data movement. With the help of data-tracking systems like PitchF/X and TrackMan, the Pirates collected millions of data points on every pitch and ball in play to create a tome of color-coded reports that revealed groundbreaking insights for how to win more games without spending a dime. In the process, they discovered that most batters struggled to hit two-seam fastballs, that an aggressive defensive shift on the field could turn more batted balls into outs, and that a catcher's most valuable skill was hidden. All these data points which aren't immediately visible to players and spectators, are the bit of magic that led the Pirates to spin straw in to gold, finish the 2013 season in second place, end a twenty-year losing streak.

    Our Big Bang, our distant future, parallel worlds, the sub-atomic and intergalactic - none of them are what they seem. But there is a way to understand this immense strangeness - mathematics. Seeking an answer to the fundamental puzzle of why our universe seems so mathematical, Tegmark proposes a radical idea: that our physical world not only is described by mathematics, but that it is mathematics. This may offer answers to our deepest questions: How large is reality? What is everything made of? Why is our universe the way it is?Table of ContentsPreface 1 What Is Reality? Not What It Seems • What’s the Ultimate Question? • The Journey Begins Part One: Zooming Out 2 Our Place in Space Cosmic Questions • How Big Is Space? • The Size of Earth • Distance to the Moon • Distance to the Sun and the Planets • Distance to the Stars • Distance to the Galaxies • What Is Space? 3 Our Place in TimeWhere Did Our Solar System Come From? • Where Did theGalaxies Come From? • Where Did the Mysterious MicrowavesCome From? • Where Did the Atoms Come From? 4 Our Universe by NumbersWanted: Precision Cosmology • Precision Microwave-Background Fluctuations • Precision Galaxy Clustering • The Ultimate Map of Our Universe • Where Did Our Big Bang Come From? 5 Our Cosmic Origins What’s Wrong with Our Big Bang? • How Inflation Works • The Gift That Keeps on Giving • Eternal Inflation 6 Welcome to the Multiverse The Level I Multiverse • The Level II Multiverse • Multiverse Halftime Roundup Part Two: Zooming In 7 Cosmic Legos Atomic Legos • Nuclear Legos • Particle-Physics Legos • Mathematical Legos • Photon Legos • Above the Law? • Quanta and Rainbows • Making Waves • Quantum Weirdness • The Collapse of Consensus • The Weirdness Can’t Be Confined • Quantum Confusion 8 The Level III Multiverse The Level III Multiverse • The Illusion of Randomness • Quantum Censorship • The Joys of Getting Scooped • Why Your Brain Isn’t a Quantum Computer • Subject, Object and Environment • Quantum Suicide • Quantum Immortality? • Multiverses Unified • Shifting Views: Many Worlds or Many Words? Part Three: Stepping Back 9 Internal Reality, External Reality and Consensus Reality External Reality and Internal Reality • The Truth, the Whole Truth and Nothing but the Truth • Consensus Reality • Physics: Linking External to Consensus Reality 10 Physical Reality and Mathematical Reality Math, Math Everywhere! • The Mathematical Universe Hypothesis • What Is a Mathematical Structure? 11 Is Time an Illusion? How Can Physical Reality Be Mathematical? • What Are You? • Where Are You? (And What Do You Perceive?) • When Are You? 12 The Level IV Multiverse Why I Believe in the Level IV Multiverse • Exploring the Level IV Multiverse: What’s Out There? • Implications of the Level IV Multiverse • Are We Living in a Simulation? • Relation Between the MUH, the Level IV Multiverse and Other Hypotheses •Testing the Level IV Multiverse 13 Life, Our Universe and Everything How Big Is Our Physical Reality? • The Future of Physics • The Future of Our Universe—How Will It End? • The Future of Life •The Future of You—Are You Insignificant? Acknowledgments Suggestions for Further Reading Index

    In the paper, Wigner observed that the mathematical structure of a physical theory often points the way to further advances in that theory and even to empirical predictions.

    It is the complex dynamics of flow that structures our atmosphere, land, and oceans.Part of a trilogy of books exploring the science of patterns in nature by acclaimed science writer Philip Ball, this volume explores the elusive rules that govern flow - the science of chaotic behavior.

    Jerry King is no exception. His informal, nontechnical book, as its title implies, is organized around what Bertrand Russell called the 'supreme beauty' of mathematics--a beauty 'capable of a stern perfection such as only the greatest art can show.'NATUREIn this clear, concise, and superbly written volume, mathematics professor and poet Jerry P. King reveals the beauty that is at the heart of mathematics--and he makes that beauty accessible to all readers. Darting wittily from Euclid to Yeats, from Poincare to Rembrandt, from axioms to symphonies, THE ART OF MATHEMATICS explores the difference between real, rational, and complex numbers; analyzes the intellectual underpinnings of pure and applied mathematics; and reveals the fundamental connection between aesthetics and mathematics. King also sheds light on how mathematicians pursue their research and how our educational system perpetuates the damaging divisions between the two cultures.

    Thoroughly updated, this edition offers new, faster techniques for solving differential equations generated by the emergence of high-speed computers.

    With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot. Holt offers a painless and playful introduction to many of our most beautiful but least understood ideas, from Einsteinian relativity to string theory, and also invites us to consider why the greatest logician of the twentieth century believed the U.S. Constitution contained a terrible contradiction--and whether the universe truly has a future.

    Just the right amount of science. Common sense and rational.” -- Wayne R. The greenhouse effect is always quoted—but that is a METAPHOR. What is the fundamental physical process that drives it? And how exactly does human activity play such a powerful role with it? How did we go from worrying about global warming to climate change…to carbon dioxide (CO2) emissions? "Great book - should me mandatory reading for anyone that uses the term 'Climate Change' " - Amazon purchaser Macsugar Are there gases more powerful and influential in the greenhouse effect than CO2? Yes, by a lot! As you will learn in this book… Why aren’t we spending more time, money, and attention focusing on those? Smart people want to get to the point of a problem and solve it as quickly, inexpensively, and effortlessly as possible. They know about the Pareto Principle, and you will too after you read this book. It is also called the 80/20 rule. What happens when we apply that principle to the global climate change “consensus”? “Thank You! I always thought the numbers were small, but I never took the time to do the math.” -- Mike S. There are many books that are long, technical, and—frankly, irrelevant—on the topic of climate change. Here are the most important questions that nobody has bothered to answer in straightforward, simple and short language, until now: * What are basic facts about our planet’s atmosphere? And what do they tell us about the fundamental physics of climate change? * What are the basic physics and assumptions behind the anthropogenic global warming (AGW) hypothesis or belief? Are they valid? * What element or compound is the single greatest factor in temperature control in our atmosphere? Hint—it isn’t carbon dioxide. How does carbon dioxide compare with this other chemical? "Takes less than an hour to read... A must-read for every official policy-maker at every level... This deserves 6 stars out of 5!" -- Terry Dunleavy (Amazon reviewer) “Brilliant, what a refreshing approach.” -- Christopher K. Before we spend more time, money, and emotional energy on the presumed EFFECTS and CONSEQUENCES of global warming and climate change (things like rising temperatures, rising sea levels, etc., etc.), shouldn’t we all have a BASIC UNDERSTANDING of the FUNDAMENTAL PROCESSES AND PHYSICS of our planet’s atmosphere? If you have any questions, or doubts about that, this book is for you. “Very good. I am a geophysicist.” -- Ben B. Even better, you’ll learn (or re-learn) a very simple and indisputable fact about our atmosphere that makes the entire controversy look ridiculous. Use this information as a test (or a bet) the next time you talk with someone on the “other side” of the climate change debate. “A very useful contribution to bringing sanity and reason back to the analysis of AGW.” – Tom P. The climate change threat is consuming more of our precious time, energy, and resources. So is the debate about what to do about it. Don’t allow yourself be a part of the problem—get this book so that you can be a part of the solution! If you are convinced that AGW is the biggest threat facing our planet, this book has facts and

    joins Ford Motor Co. in 1948, he has no idea the part he'll play in automotive history. Morsey's arrival comes as Henry Ford II and other titans in the industry are about to kill the vaunted V-8 engine. He sees it as his sole mission to talk them out of it. In The Man Who Saved the V-8, he shares the never-before-told story of how his crusade saved the engine that would go on to power iconic cars like the Ford Thunderbird and Mustang. "To this day, I have no idea how a young, newly hired manager like myself...had the nerve to challenge the most powerful men inside Ford Motor Company and tell them they were wrong," Morsey says. "But that is exactly what I did." The twenty-nine-year-old executive embarks on massive market research. He works with manufacturing experts to find ways to produce the V-8 engine more efficiently. After finding success, he goes on to continue playing a central role in some of the most pivotal decisions that would ensure Ford remains one of the powerhouses in the automotive industry. The Man Who Saved the V-8 tells the story of his successes and lessons learned.

    Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio. Even as he initiates us into the mysteries of real numbers, functions, and limits, Berlinski explores the furthest implications of his subject, revealing how the calculus reconciles the precision of numbers with the fluidity of the changing universe. "An odd and tantalizing book by a writer who takes immense pleasure in this great mathematical tool, and tries to create it in others."--New York Times Book Review

    Right?! Machine Learning is a branch of computer science that wants to stop programming computers using a detailed list of commands to follow blindly. Instead, their aim is to implement high-level routines that teach computers how to approach new and unknown problems – these are called algorithms. In practice, they want to give computers the ability to Learn and to Adapt. We can use these algorithms to obtain insights, recognize patterns and make predictions from data, images, sounds or videos we have never seen before – or even knew existed. Unfortunately, the true power and applications of today’s Machine Learning Algorithms remain deeply misunderstood by most people. Through this book I want fix this confusion, I want to shed light on the most relevant Machine Learning Algorithms used in the industry. I will show you exactly how each algorithm works, why it works and when you should use it. Supervised Learning Algorithms K-Nearest Neighbour Naïve Bayes Regressions Unsupervised Learning Algorithms: Support Vector Machines Neural Networks Decision Trees

    How is the European Union's biggest and most powerful economy making a clean break with coal, oil and nuclear energy? It is something most Americans would say is impossible, but already 25 percent of Germany's energy comes from renewable sources. It is on track to reach 80 percent by 2050, and some experts say it could reach 100 percent by then.Germany's energiewende, or energy transformation, is really a very American story that revolves around self-reliant individuals, a responsive democracy, and a national can-do vision. The book tells this remarkable and important story in a narrative directed to ordinary readers.

    With problems and solutions. Includes 99 illustrations.

    Yet unlike Einstein, with whom he formed a warm and abiding friendship, Gödel has long escaped all but the most casual scrutiny of his life.Stephen Budiansky’s Journey to the Edge of Reason is the first biography to fully draw upon Gödel’s voluminous letters and writings—including a never-before-transcribed shorthand diary of his most intimate thoughts—to explore Gödel’s profound intellectual friendships, his moving relationship with his mother, his troubled yet devoted marriage, and the debilitating bouts of paranoia that ultimately took his life. It also offers an intimate portrait of the scientific and intellectual circles in prewar Vienna, a haunting account of Gödel’s and Jewish intellectuals’ flight from Austria and Germany at the start of the Second World War, and a vivid re-creation of the early days of Princeton’s Institute for Advanced Study, where Gödel and Einstein both worked.Eloquent and insightful, Journey to the Edge of Reason is a fully realized portrait of the odd, brilliant, and tormented man who has been called the greatest logician since Aristotle, and illuminates the far-reaching implications of Gödel’s revolutionary ideas for philosophy, mathematics, artificial intelligence, and man’s place in the cosmos.