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

    For some of us, the word conjures up memories of ten-pound textbooks and visions of tedious abstract equations. And yet, in reality, calculus is fun, accessible, and surrounds us everywhere we go. In Everyday Calculus, Oscar Fernandez shows us how to see the math in our coffee, on the highway, and even in the night sky.Fernandez uses our everyday experiences to skillfully reveal the hidden calculus behind a typical day's events. He guides us through how math naturally emerges from simple observations-how hot coffee cools down, for example-and in discussions of over fifty familiar events and activities. Fernandez demonstrates that calculus can be used to explore practically any aspect of our lives, including the most effective number of hours to sleep and the fastest route to get to work. He also shows that calculus can be both useful-determining which seat at the theater leads to the best viewing experience, for instance-and fascinating-exploring topics such as time travel and the age of the universe. Throughout, Fernandez presents straightforward concepts, and no prior mathematical knowledge is required. For advanced math fans, the mathematical derivations are included in the appendixes.Whether you're new to mathematics or already a curious math enthusiast, Everyday Calculus invites you to spend a day discovering the calculus all around you. The book will convince even die-hard skeptics to view this area of math in a whole new way.

    In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space.Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man’s journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century’s leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat’s last theorem, that had seemed intractable before.At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.

    It is an easy-to-use handbook of scientifically proven, field-tested methods to improve skills—your skills, your kids’ skills, your organization’s skills—in sports, music, art, math, and business. The product of five years of reporting from the world’s greatest talent hotbeds and interviews with successful master coaches, it distills the daunting complexity of skill development into 52 clear, concise directives. Whether you’re age 10 or 100, whether you’re on the sports field or the stage, in the classroom or the corner office, this is an essential guide for anyone who ever asked, “How do I get better?”“The Little Book of Talent should be given to every graduate at commencement, every new parent in a delivery room, every executive on the first day of work. It is a guidebook—beautiful in its simplicity and backed by hard science—for nurturing excellence.”—Charles Duhigg, bestselling author of The Power of Habit   “It’s so juvenile to throw around hyperbolic terms such as ‘life-changing,’ but there’s no other way to describe The Little Book of Talent. I was avidly trying new things within the first half hour of reading it and haven’t stopped since. Brilliant. And yes: life-changing.”—Tom Peters, co-author of In Search of Excellence

     Let me test my presumption with a preview of four these ‘old’ stories. If I told you there was once a west coast sex cult with dozens of young girls, single ladies, and married women, who all fornicated with one well-endowed “prophet,” and he occasionally found it necessary to carry-out bondage S&M sessions here and there, you may not be surprised at all. But what if that sex cult began in 1903 and ended in 1906 with a couple of murders and suicides, does that sound like anything you have read about before? Or, how about a cheater who murders his inconvenient wife, disassembles her over a fifteen hour period, then puts her bones in the same stove he cooks breakfast for his sons before sending them off to school? If that doesn’t surprise you, perhaps the ending will–but you’ll have to find out for yourself. In ‘The Dandy and the Squire,’ a smooth-talking peacock from Kentucky visits his northern ‘cousins,’ and charms three of the women into his bed. He’s a big time operator who talks fancy, dresses fancy, and tells great stories of his days as an adventurer, riverboat gambler, and sharp-minded deal maker. He’s so smooth, he’s able to murder the patriarch’s son, make him look like the bad guy, and marry the boy’s tender-hearted sister before the Yankees get wise to his lies. Good thing, too, because he had also talked the father into giving him the family farm. Chapter Five is the stranger-than-fiction story of ‘Shoebox Annie.’ During the early 20th Century, this trollish-looking woman introduced her freakish-looking son to a life of crime. Their decade’s long spree of lyin’, cheatin’, and stealin’ led them to become America’s first mother and son team of serial killers. They were so good at disposing of bodies, none of their four victims have ever been found. If ‘old’ stories sound boring to readers of contemporary true crime, I hope this book will change minds, and fully reveal just how wicked and decadent our ancestors were. And deadly. Volume II in the Vintage True Crime Stories series is a wrecking ball that smashes to pieces that phrase, “The Good Old Days.” Maybe you will believe me when you get to the last page.

    Peter D'Adamo and Catherine Whitney reveal the simple secret to healthy, vigorous, and disease-free living: basing your diet on your blood type. If you've ever suspected that not everyone should eat the same thing or do the same exercise, you're right. In fact, what foods we absorb well and how our bodies handle stress differ with each blood type. Your blood type reflects your internal chemistry. It is the key that unlocks the mysteries of disease, longevity, fitness, and emotional strength. It determines your susceptibility to illness, the foods you should eat, and ways to avoid the most troubling health problems. In Eat Right 4 Your Type, Dr. D'Adamo draws on over fifteen years of research to reveal: - Which foods, spices, teas, and condiments help maintain optimal health and ideal weight - Which vitamins and supplements to emphasize or avoid - Whether your stress is relieved better through aerobics or meditation - Whether you should walk, swim or play tennis or golf as your mode of exercise - How knowing your blood type can help you avoid many common viruses and infections and fight back against life-threatening diseases - How to slow down the aging process by avoiding factors that cause rapid cell deterioration Whether your blood type is O, A, B, or AB, Eat Right 4 Your Type will help you design a total health program that's perfect for you. MORE THAN 7 MILLION COPIES SOLD WORLDWIDE!

    The algorithms you'll use most often as a programmer have already been discovered, tested, and proven. If you want to take a hard pass on Knuth's brilliant but impenetrable theories and the dense multi-page proofs you'll find in most textbooks, this is the book for you. This fully-illustrated and engaging guide makes it easy for you to learn how to use algorithms effectively in your own programs.Grokking Algorithms is a disarming take on a core computer science topic. In it, you'll learn how to apply common algorithms to the practical problems you face in day-to-day life as a programmer. You'll start with problems like sorting and searching. As you build up your skills in thinking algorithmically, you'll tackle more complex concerns such as data compression or artificial intelligence. Whether you're writing business software, video games, mobile apps, or system utilities, you'll learn algorithmic techniques for solving problems that you thought were out of your grasp. For example, you'll be able to:Write a spell checker using graph algorithmsUnderstand how data compression works using Huffman codingIdentify problems that take too long to solve with naive algorithms, and attack them with algorithms that give you an approximate answer insteadEach carefully-presented example includes helpful diagrams and fully-annotated code samples in Python. By the end of this book, you will know some of the most widely applicable algorithms as well as how and when to use them.

    Since then, the ways we process written language have changed dramatically with many concerned about both their own changes and that of children. New research on the reading brain chronicles these changes in the brains of children and adults as they learn to read while immersed in a digitally dominated medium.Drawing deeply on this research, this book comprises a series of letters Wolf writes to us—her beloved readers—to describe her concerns and her hopes about what is happening to the reading brain as it unavoidably changes to adapt to digital mediums. Wolf raises difficult questions, including:Will children learn to incorporate the full range of "deep reading" processes that are at the core of the expert reading brain?Will the mix of a seemingly infinite set of distractions for children’s attention and their quick access to immediate, voluminous information alter their ability to think for themselves?With information at their fingertips, will the next generation learn to build their own storehouse of knowledge, which could impede the ability to make analogies and draw inferences from what they know?Will all these influences, in turn, change the formation in children and the use in adults of "slower" cognitive processes like critical thinking, personal reflection, imagination, and empathy that comprise deep reading and that influence both how we think and how we live our lives?Will the chain of digital influences ultimately influence the use of the critical analytical and empathic capacities necessary for a democratic society?How can we preserve deep reading processes in future iterations of the reading brain?Who are the "good readers" of every epoch?Concerns about attention span, critical reasoning, and over-reliance on technology are never just about children—Wolf herself has found that, though she is a reading expert, her ability to read deeply has been impacted as she has become, inevitably, increasingly dependent on screens.Wolf draws on neuroscience, literature, education, technology, and philosophy and blends historical, literary, and scientific facts with down-to-earth examples and warm anecdotes to illuminate complex ideas that culminate in a proposal for a biliterate reading brain. Provocative and intriguing, Reader, Come Home is a roadmap that provides a cautionary but hopeful perspective on the impact of technology on our brains and our most essential intellectual capacities—and what this could mean for our future.

    It is the best and most successful guide to reading comprehension for the general reader. And now it has been completely rewritten and updated. You are told about the various levels of reading and how to achieve them – from elementary reading, through systematic skimming and inspectional reading, to speed reading, you learn how to pigeonhole a book, X-ray it, extract the author's message, criticize. You are taught the different reading techniques for reading practical books, imaginative literature, plays, poetry, history, science and mathematics, philosophy and social science. Finally, the authors offer a recommended reading list and supply reading tests whereby you can measure your own progress in reading skills, comprehension and speed.This a previously-published edition of ISBN 9780671212094

    Lacking the ability to measure their longitude, sailors throughout the great ages of exploration had been literally lost at sea as soon as they lost sight of land. Thousands of lives, and the increasing fortunes of nations, hung on a resolution.The scientific establishment of Europe—from Galileo to Sir Issac Newton—had mapped the heavens in both hemispheres in its certain pursuit of a celestial answer. In stark contrast, one man, John Harrison, dared to imagine a mechanical solution—a clock that would keep precise time at sea, something no clock had ever been able to do on land. Longitude is a dramatic human story of an epic scientific quest and Harrison's forty-year obsession with building his perfect timekeeper, known today as the chronometer. Full of heroism and chicanery, it is also a fascinating brief history of astronomy, navigation, and clock-making, and opens a new window on our world.On its 10th anniversary, a gift edition of this classic book, with a forward by one of history's greatest explorers, and eight pages of color illustrations.

    This book covers relevant geometric principles and how to represent objects algebraically so they can be computed and applied. Recent major developments in the theory and practice of scene reconstruction are described in detail in a unified framework. Richard Hartley and Andrew Zisserman provide comprehensive background material and explain how to apply the methods and implement the algorithms. First Edition HB (2000): 0-521-62304-9

    You proceed at your own rate and any difficulties you may encounter are resolved before you move on to the next topic. With a step-by-step programmed approach that is complemented by hundreds of worked examples and exercises, Advanced Engineering Mathematics is ideal as an on-the-job reference for professionals or as a self-study guide for students.Uses a unique technique-oriented approach that takes the reader through each topic step-by-step.Features a wealth of worked examples and progressively more challenging exercises.Contains Test Exercises, Learning Outcomes, Further Problems, and Can You? Checklists to guide and enhance learning and comprehension.Expanded coverage includes new chapters on Z Transforms, Fourier Transforms, Numerical Solutions of Partial Differential Equations, and more Complex Numbers.Includes a new chapter, Introduction to Invariant Linear Systems, and new material on difference equations integrated into the Z transforms chapter.

    Breaking down the symbols themselves, they pose a series of questions: What is energy? What is mass? What has the speed of light got to do with energy and mass? In answering these questions, they take us to the site of one of the largest scientific experiments ever conducted. Lying beneath the city of Geneva, straddling the Franco-Swiss boarder, is a 27 km particle accelerator, known as the Large Hadron Collider. Using this gigantic machine—which can recreate conditions in the early Universe fractions of a second after the Big Bang—Cox and Forshaw will describe the current theory behind the origin of mass.Alongside questions of energy and mass, they will consider the third, and perhaps, most intriguing element of the equation: 'c' - or the speed of light. Why is it that the speed of light is the exchange rate? Answering this question is at the heart of the investigation as the authors demonstrate how, in order to truly understand why E=mc2, we first must understand why we must move forward in time and not backwards and how objects in our 3-dimensional world actually move in 4-dimensional space-time. In other words, how the very fabric of our world is constructed. A collaboration between two of the youngest professors in the UK, Why Does E=mc2? promises to be one of the most exciting and accessible explanations of the theory of relativity in recent years.

    But how does virality actually work? In The Rules of Contagion, epidemiologist Adam Kucharski explores topics including gun violence, online manipulation, and, of course, outbreaks of disease to show how much we get wrong about contagion, and how astonishing the real science is.Why did the president retweet a Mussolini quote as his own? Why do financial bubbles take off so quickly? And why are disinformation campaigns so effective? By uncovering the crucial factors driving outbreaks, we can see how things really spread -- and what we can do about it.Whether you are an author seeking an audience, a defender of truth, or simply someone interested in human social behavior, The Rules of Contagion is an essential guide to modern life.

    It tells the story of two parents from different cultural, linguistic, and ethnic-racial backgrounds who joined to raise their two children with their heritage languages outside their native countries. It also tells the children's story and the way they negotiated three cultures and languages and developed a trilingual identity. It sheds light on how parental support contributed to the children's simultaneous acquisition of three languages in an environment where the main input of the two heritage languages came respectively from the father and from the mother. It addresses the challenges and the unique language developmental characteristics of the two children during their trilingual acquisition process.