But this book will help you to do something that humans have only recently understood how to do: to count to regions that no animal has ever reached. By the end of this book you'll be able to count to infinity... and beyond. On our way to infinity we'll discover how the ancient Babylonians used their bodies to count to 60 (which gave us 60 minutes in the hour), how the number zero was only discovered in the 7th century by Indian mathematicians contemplating the void, why in China going into the red meant your numbers had gone negative and why numbers might be our best language for communicating with alien life.But for millennia, contemplating infinity has sent even the greatest minds into a spin. Then at the end of the nineteenth century mathematicians discovered a way to think about infinity that revealed that it is a number that we can count. Not only that. They found that there are an infinite number of infinities, some bigger than others. Just using the finite neurons in your brain and the finite pages in this book, you'll have your mind blown discovering the secret of how to count to infinity.Do something amazing and learn a new skill thanks to the Little Ways to Live a Big Life books!

    I’m Tim. I’m a single cell in society’s body. U.S. society, to be specific.So let me explain why we’re here.As a writer and a generally thinky person, I’ve spent a lot of my life thinking about the society I live in, and societies in general. I’ve always imagined society as a kind of giant human—a living organism like each of us, only much bigger.When you’re a single cell in the body of a giant, it’s hard to understand what the giant’s doing, or why it is the way it is, because you can’t really zoom out and look at the whole thing all at once. But we do our best.The thing is, when I’ve recently tried to imagine what society might look like, I haven’t really been picturing this:Giant stick figure: "I am grown up."Based on what I see around me, in person and online, it seems like my society is actually more like this:Giant stick figure throwing a giant tantrum because their chocolate ice cream fell on the ground.Individual humans grow older as they age—but it kind of seems like the giant human I live in has been getting more childish each year that goes by.So I decided to write a blog post about this. But then something else happened.When I told people I was planning to write a post about society, and the way people are acting, and the way the media is acting, and the way the government is acting, and the way everyone else is acting, people kept saying the same thing to me.Don’t do it. Don’t touch it. Write about something else. Anything else. It’s just not worth it.They were right. With so many non-controversial topics to write about, why take on something so loaded and risk alienating a ton of readers? I listened to people’s warnings, and I thought about moving on to something else, but then I was like, “Wait what? I live inside a giant and the giant is having a six-year-old meltdown in the grocery store candy section and that’s a not-okay thing for me to talk about?”It hit me that what I really needed to write about was that—about why it’s perilous to write about society."

    KEY TOPICS: This classic book enables readers to make connections between classical and modern physics - an indispensable part of a physicist's education. In this new edition, Beams Medal winner Charles Poole and John Safko have updated the book to include the latest topics, applications, and notation, to reflect today's physics curriculum. They introduce readers to the increasingly important role that nonlinearities play in contemporary applications of classical mechanics. New numerical exercises help readers to develop skills in how to use computer techniques to solve problems in physics. Mathematical techniques are presented in detail so that the book remains fully accessible to readers who have not had an intermediate course in classical mechanics. MARKET: For college instructors and students.

    He's certainly been thinking about it lately. May, a freshly minted astrophysics Ph.D., joins forces with legendary astronomer Patrick Moore and astrophysicist Chris Lintott in Bang! to consider the history of the universe from the Big Bang to Heat Death.Space, time, and matter were birthed 13.7 billion years ago and will continue on longer than we are able to comprehend. Infinitesimally small at first, the Universe is immense and ever expanding. Bang! explains how it all started, takes you on a tour of what is known about the evolution of the Universe, and posits how the end of time will come about.This fascinating book includes photographs, short biographies of key figures, an at-a-glance timeline, a glossary of terms, and suggested resources for further exploration.Based on the work of history’s most brilliant scientific minds, this amazing story features clear, straightforward discussions of the most perplexing and compelling aspects of existence—from the formation of stars, planets, and other galactic bodies to black holes, quasars, anti-matter, and dark matter to the emergence of life and the possibility that it could exist elsewhere.Pick up a copy of Bang! It will, it will rock you.

    Using a "physics first" approach to the subject, renowned relativist James B. Hartle provides a fluent and accessible introduction that uses a minimum of new mathematics and is illustrated with a wealth of exciting applications. KEY TOPICS: The emphasis is on the exciting phenomena of gravitational physics and the growing connection between theory and observation. The Global Positioning System, black holes, X-ray sources, pulsars, quasars, gravitational waves, the Big Bang, and the large scale structure of the universe are used to illustrate the widespread role of how general relativity describes a wealth of everyday and exotic phenomena. MARKET: For anyone interested in physics or general relativity.

    Today, scientists are attempting to measure the entire universe and to determine its origin. Although the methods have changed, the quest to chart the horizons of space and time continues to be one of the great adventures of science.Measuring the Universe is an eloquent chronicle of the men and women– from Aristarchus to Cassini, Sir Isaac Newton to Henrietta Leavitt and Stephen Hawking–who have gradually unlocked the mysteries of "how far" and in so doing have changed our ideas about the size and nature of the universe and our place in it. Kitty Ferguson reveals their methods to have been as inventive as their results were–and are–eye-opening. Advances such as Copernicus's revolutionary insights about the arrangement of the solar system, William Herschel's meticulous creation of the first three-dimensional map of the universe, and Edwin Hubble's astonishing discovery that the universe is expanding have by turns revolutionized our concept of the universe. Connecting centuries of breakthroughs with the political and cultural events surrounding them, Ferguson makes astronomy part of the sweep of history.To measure the seemingly immeasurable, scientists have always pushed the boundaries of the imagination–today, for example, facing the paradox of an ever-expanding universe that doesn't appear to expand into anything. In Kitty Fergeson's skillfill hands, the unimaginable becomes accessible and the splendid quest something we all can share.

    A project of CERN, the European Organization for Nuclear Research, its audacious purpose is to re-create, in a 16.5-mile-long circular tunnel under the French-Swiss countryside, the immensely hot and dense conditions that existed some 13.7 billion years ago within the first trillionth of a second after the fiery birth of our universe. The collider is now crashing protons at record energy levels never created by scientists before, and it will reach even higher levels by 2013. Its superconducting magnets guide two beams of protons in opposite directions around the track. After accelerating the beams to 99.9999991 percent of the speed of light, it collides the protons head-on, annihilating them in a flash of energy sufficient—in accordance with Einstein’s elegant statement of mass-energy equivalence, E=mc2—to coalesce into a shower of particles and phenomena that have not existed since the first moments of creation. Within the LHC’s detectors, scientists hope to see empirical confirmation of key theories in physics and cosmology.In telling the story of what is perhaps the most anticipated experiment in the history of science, Amir D. Aczel takes us inside the control rooms at CERN at key moments when an international team of top researchers begins to discover whether this multibillion-euro investment will fulfill its spectacular promise. Through the eyes and words of the men and women who conceived and built CERN and the LHC—and with the same clarity and depth of knowledge he demonstrated in the bestselling Fermat’s Last Theorem—Aczel enriches all of us with a firm grounding in the scientific concepts we will need to appreciate the discoveries that will almost certainly spring forth when the full power of this great machine is finally unleashed.Will the Higgs boson make its breathlessly awaited appearance, confirming at last the Standard Model of particles and their interactions that is among the great theoretical achievements of twentieth-century physics? Will the hidden dimensions posited by string theory be revealed? Will we at last identify the nature of the dark matter that makes up more than 90 percent of the cosmos? With Present at the Creation, written by one of today’s finest popular interpreters of basic science, we can all follow the progress of an experiment that promises to greatly satisfy the curiosity of anyone who ever concurred with Einstein when he said, “I want to know God’s thoughts—the rest is details.”

    You experience it passing every day when you watch clocks tick, bread toast, and children grow. But most physicists see things differently, from Newton to Einstein to today’s quantum theorists. For them, time isn’t real. You may think you experience time passing, but they say it’s just an illusion.Lee Smolin, author of the controversial bestseller The Trouble with Physics, argues this limited notion of time is holding physics back. It’s time for a major revolution in scientific thought. The reality of time could be the key to the next big breakthrough in theoretical physics.What if the laws of physics themselves were not timeless? What if they could evolve? Time Reborn offers a radical new approach to cosmology that embraces the reality of time and opens up a whole new universe of possibilties. There are few ideas that, like our notion of time, shape our thinking about literally everything, with major implications for physics and beyond—from climate change to the economic crisis. Smolin explains in lively and lucid prose how the true nature of time impacts our world.

    He ventures to the largest underground research facility in the world, deep beneath Italy's Gran Sasso mountains, where scientists gaze into the heart of the Sun using the most elusive of particles, the ghostly neutrino. He visits CERN in Switzerland to explore the Antimatter Factory, where the stuff of science fiction is manufactured daily (and we're close to knowing whether it falls up). And he reveals what the latest data from the Large Hadron Collider may be telling us about the fundamental nature of matter.Along the way, Cliff illuminates the history of physics, chemistry, and astronomy that brought us to our present understanding--and misunderstandings--of the world, while offering readers a front-row seat to one of the most dramatic intellectual journeys human beings have ever embarked on.A transfixing deep dive into origins of our world, How to Make an Apple Pie from Scratch examines not just the makeup of our universe, but the awe-inspiring, improbable fact that it exists at all.

    Focused on groups, rings and fields, this text gives students a firm foundation for more specialized work by emphasizing an understanding of the nature of algebraic structures. KEY TOPICS: Sets and Relations; GROUPS AND SUBGROUPS; Introduction and Examples; Binary Operations; Isomorphic Binary Structures; Groups; Subgroups; Cyclic Groups; Generators and Cayley Digraphs; PERMUTATIONS, COSETS, AND DIRECT PRODUCTS; Groups of Permutations; Orbits, Cycles, and the Alternating Groups; Cosets and the Theorem of Lagrange; Direct Products and Finitely Generated Abelian Groups; Plane Isometries; HOMOMORPHISMS AND FACTOR GROUPS; Homomorphisms; Factor Groups; Factor-Group Computations and Simple Groups; Group Action on a Set; Applications of G-Sets to Counting; RINGS AND FIELDS; Rings and Fields; Integral Domains; Fermat's and Euler's Theorems; The Field of Quotients of an Integral Domain; Rings of Polynomials; Factorization of Polynomials over a Field; Noncommutative Examples; Ordered Rings and Fields; IDEALS AND FACTOR RINGS; Homomorphisms and Factor Rings; Prime and Maximal Ideas; Gr�bner Bases for Ideals; EXTENSION FIELDS; Introduction to Extension Fields; Vector Spaces; Algebraic Extensions; Geometric Constructions; Finite Fields; ADVANCED GROUP THEORY; Isomorphism Theorems; Series of Groups; Sylow Theorems; Applications of the Sylow Theory; Free Abelian Groups; Free Groups; Group Presentations; GROUPS IN TOPOLOGY; Simplicial Complexes and Homology Groups; Computations of Homology Groups; More Homology Computations and Applications; Homological Algebra; Factorization; Unique Factorization Domains; Euclidean Domains; Gaussian Integers and Multiplicative Norms; AUTOMORPHISMS AND GALOIS THEORY; Automorphisms of Fields; The Isomorphism Extension Theorem; Splitting Fields; Separable Extensions; Totally Inseparable Extensions; Galois Theory; Illustrations of Galois Theory; Cyclotomic Extensions; Insolvability of the Quintic; Matrix Algebra MARKET: For all readers interested in abstract algebra.

    Uncle John and his loony lab partners will take you back to the Big Bang and forward to the distant future. You’ll see the science in everything around (and inside) you, and learn the truth about the most egregious science myths (such as—you can’t “sweat like a pig” because pigs don’t sweat). How many amazing facts await your visual cortex in these 494 pages made up of atoms (print version) or bits and bytes (e-book)? As Carl Sagan would have said, “Billions and Billions!” So put on your thinking cap and check out…Pluto deniedKitchen chemistryFootball gets physics-alPlanet Earth’s sudden hot flashesFood’s incredible journey…through youThe science of surfing, skating, and snowboardingHow they plugged the hole in the ozone layerHow “defenseless” animals stay aliveSci-fi that’s more fi than sciAncient astronomersKnow your cloudsAnd much, much more!

    Full of insights, arguments and philosophical perspectives, the book covers an amazing array of topics. Beginning in antiquity with Democritus, it progresses through logic and set theory, computability and complexity theory, quantum computing, cryptography, the information content of quantum states and the interpretation of quantum mechanics. There are also extended discussions about time travel, Newcomb's Paradox, the anthropic principle and the views of Roger Penrose. Aaronson's informal style makes this fascinating book accessible to readers with scientific backgrounds, as well as students and researchers working in physics, computer science, mathematics and philosophy.

    By replacing equations with diagrams, the book allows non-specialist readers to fully understand the concepts in relativity without the slow, painful progress so often associated with a complicated scientific subject. It allows readers not only to know how relativity works, but also to intuitively understand it.

    - This is the best kind of popular science: informed, impassioned, and highly accessible.- Compare it to Stephen Hawking's The Universe in a Nutshell, but broader in scope and much more readable.- A crossover for the Young Adult market, now in the perfect format.

    Over five decades, Star Trek's celebration of mankind's technical achievements and positive view of the future have earned it an enduring place in our global culture. Its scientific vision has also had a profound effect on the past thirty years of technological breakthroughs. Join William Shatner, the original captain of the Starship Enterprise, as he reveals how Star Trek has influenced and inspired some of our greatest scientific minds -- the people behind the future we will all share. In interviews with dozens of scientists we learn about the inventions that will revolutionise our lives and the discoveries that will make it truly possible to explore the last great frontier -- space. As one Nobel Laureate commented on being shown a wood and plastic model of the engine core from a Star Trek: The Next Generation starship: I'm working on that. From the technicalities of warp speed to real-life replicators to the likelihood of our being able to beam across continents, this always-informative book takes us on a fascinating and eye-opening voyage to