Yet Euler's formula is so simple it can be explained to a child. Euler's Gem tells the illuminating story of this indispensable mathematical idea.From ancient Greek geometry to today's cutting-edge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. In 1750, Euler observed that any polyhedron composed of V vertices, E edges, and F faces satisfies the equation V-E+F=2. David Richeson tells how the Greeks missed the formula entirely; how Descartes almost discovered it but fell short; how nineteenth-century mathematicians widened the formula's scope in ways that Euler never envisioned by adapting it for use with doughnut shapes, smooth surfaces, and higher dimensional shapes; and how twentieth-century mathematicians discovered that every shape has its own Euler's formula. Using wonderful examples and numerous illustrations, Richeson presents the formula's many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map.Filled with a who's who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem's development, Euler's Gem will fascinate every mathematics enthusiast.

    Here he recounts in his inimitable voice his experience trading ideas on atomic physics with Einstein and Bohr and ideas on gambling with Nick the Greek; cracking the uncrackable safes guarding the most deeply held nuclear secrets; accompanying a ballet on his bongo drums; painting a naked female toreador. In short, here is Feynman's life in all its eccentric—a combustible mixture of high intelligence, unlimited curiosity, and raging chutzpah.

    Really big. You just won't believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it's a long way down the street to the chemist, but that's just peanuts to space.' Douglas Adams, Hitch-hiker's Guide to the GalaxyWe human beings have trouble with infinity - yet infinity is a surprisingly human subject. Philosophers and mathematicians have gone mad contemplating its nature and complexity - yet it is a concept routinely used by schoolchildren. Exploring the infinite is a journey into paradox. Here is a quantity that turns arithmetic on its head, making it feasible that 1 = 0. Here is a concept that enables us to cram as many extra guests as we like into an already full hotel. Most bizarrely of all, it is quite easy to show that there must be something bigger than infinity - when it surely should be the biggest thing that could possibly be. Brian Clegg takes us on a fascinating tour of that borderland between the extremely large and the ultimate that takes us from Archimedes, counting the grains of sand that would fill the universe, to the latest theories on the physical reality of the infinite. Full of unexpected delights, whether St Augustine contemplating the nature of creation, Newton and Leibniz battling over ownership of calculus, or Cantor struggling to publicise his vision of the transfinite, infinity's fascination is in the way it brings together the everyday and the extraordinary, prosaic daily life and the esoteric.Whether your interest in infinity is mathematical, philosophical, spiritual or just plain curious, this accessible book offers a stimulating and entertaining read.

    The stories show that, as James Gleick puts it in the foreword, "inspiration strikes willy-nilly." One researcher thinks of quantum chaotic systems at a bus stop; another suddenly realizes a path to proving a theorem of number theory while in a friend's backyard; a statistician has a "bathroom sink epiphany" and discovers the key to solving the Gaussian correlation inequality. Readers of The Prime Number Conspiracy, says Quanta editor-in-chief Thomas Lin, are headed on "breathtaking intellectual journeys to the bleeding edge of discovery strapped to the narrative rocket of humanity's never-ending pursuit of knowledge."Quanta is the only popular publication that offers in-depth coverage of the latest breakthroughs in understanding our mathematical universe. It communicates mathematics by taking it seriously, wrestling with difficult concepts and clearly explaining them in a way that speaks to our innate curiosity about our world and ourselves. Readers of this volume will learn that prime numbers have decided preferences about the final digits of the primes that immediately follow them (the "conspiracy" of the title); consider whether math is the universal language of nature (allowing for "a unified theory of randomness"); discover surprising solutions (including a pentagon tiling proof that solves a century-old math problem); ponder the limits of computation; measure infinity; and explore the eternal question "Is mathematics good for you?"ContributorsAriel Bleicher, Robbert Dijkgraaf, Kevin Hartnett, Erica Klarreich, Thomas Lin, John Pavlus, Siobhan Roberts, Natalie WolchoverCopublished with Quanta Magazine

    Packed with amusing anecdotes, quizzes, and handy calculation tips for every situation, Maths on the Back of an Envelope is an invaluable introduction to the art of estimation, and a welcome reminder that sometimes our own brain is the best tool we have to deal with numbers.

    This is a very old science and its gems have lost their charm for us through everyday use. We have tried in this book to refresh them for you. The main part of the book is made up of problems. The best way to deal with them is: Solve the problem by yourself - compare your solution with the solution in the book (if it exists) - go to the next problem. However, if you have difficulties solving a problem (and some of them are quite difficult), you may read the hint or start to read the solution. If there is no solution in the book for some problem, you may skip it (it is not heavily used in the sequel) and return to it later. The book is divided into sections devoted to different topics. Some of them are very short, others are rather long. Of course, you know arithmetic pretty well. However, we shall go through it once more, starting with easy things. 2 Exchange of terms in addition Let's add 3 and 5: 3+5=8. And now change the order: 5+3=8. We get the same result. Adding three apples to five apples is the same as adding five apples to three - apples do not disappear and we get eight of them in both cases. 3 Exchange of terms in multiplication Multiplication has a similar property. But let us first agree on notation.

    Call it the algebra oracle: By plugging in the right variables, GEEK LOGIK answers life’s most persistent questions. It covers Dating and Romance, Career and Finance, and everyday decisions like Should I get a tattoo? Can I still wear tight jeans? Is it time to see a therapist? How many beers should I have at the company picnic? How does it work? Take a simple issue that comes up once or twice a week: Should I call in sick? Fill in the variables honestly, such as D for doctor’s note (enter 1 for “no,†10 for “yes,†and 5 for “yes, but it’s a forgeryâ€), R for importance of job (1-10, with 10 being “personally responsible for Earth’s orbit around Sunâ€), Fj for how much fun you have at work (1-10, with 10 being “personal trainer for underwear modelsâ€), N for how much you need the money (1-10, with 10 being “I owe the mobâ€), then do the math, and voilà—if the product, Hooky, is greater than 1, enjoy your very own Ferris Bueller’s Day Off. Includes a pocket calculator so that prospective geeks can immediately solve the equation on the back cover: Should I buy this book?

    Taking us on a journey through every fundamental field of science, as well as the history of civilization, art, moral values, and the theory of political institutions, Deutsch tracks how we form new explanations and drop bad ones, explaining the conditions under which progress—which he argues is potentially boundless—can and cannot happen. Hugely ambitious and highly original, The Beginning of Infinity explores and establishes deep connections between the laws of nature, the human condition, knowledge, and the possibility for progress.

    

    This box set is over 1,200 pages in print and will be available to purchase or borrow in Kindle Unlimited for only a short period of time.Experience the series The Guardian book review says, “...reads like a superior collaboration between Dan Brown and Michael Crichton.” With over 4,000 reviews on Amazon and nearly 25,000 ratings on GoodReads, The Extinction Files has become a phenomenon in both the US and abroad, where it has been translated in 21 languages. SELECTED PRAISE FOR A.G. RIDDLE “I finished the book fast because I just couldn’t wait...” -- WIRED GeekDad on Departure “Riddle... keep(s) the focus on his characters... rather than the technological marvels” -- Publisher’s Weekly on Departure “Well-constructed and tightly-wound as a fine Swiss watch--DEPARTURE has non-stop action, an engaging plot and, of course, wheels within wheels.” -- Diana Gabaldon, bestselling author of OutlanderDescription of Book One: Pandemic A worldwide pandemic...A scientific experiment that could change humanity forever...A race to find a cure--and unravel humanity’s darkest secrets.* * *In Kenya, a deadly outbreak spreads quickly. Local villagers are infected, as are two American college students on summer break.The CDC and WHO send a team, led by Dr. Peyton Shaw. In Africa, Peyton soon discovers that this outbreak is very different from any she’s ever investigated. It appears to be part of a global experiment, one designed to unleash a new era of human existence.As the virus spreads around the world, Peyton uncovers clues that lead to a dark secret in her past. With only hours left to stop the plague, she faces a choice that will change her life forever.Can Peyton stop the outbreak in time? And what’s the truth behind the virus? Is humanity being engineered for some purpose? Is this the end of life as we know it?

    Eager to raise money for more computers, books, and other critical supplies, when the auctioneer announces that a date with Ashleigh is on the auction block, she goes with it. Too bad her ex casts the winning bid.Billionaire Chase Matthews hadn't planned on spending December in Emerald Falls. And he certainly hadn't planned on offering the winning bid for a date with his ex. But now that both of those things have happened, he'll have to deal with the fallout.When Chase tells Ashleigh that his mother is dying and that her only wish is to see him happily engaged, he makes her an offer she can't refuse. But will her wounded heart be able to remember that this is all pretend?

     Moody Dragons. Snarky Elves. Fierce Mermaids. And two unlikely heroes who are fated to save them all. This complete boxset includes the following full-length novels: Book 1: The Prince Returns Book 2: The Elven Alliance Book 3: The Mere Treaty Book 4: The Crowns' Accord

      You’re probably wondering why you’ve never heard of us. It’s because we’re THAT good. We’re experts at covert ops. Misdirection is our middle name. We’re invisible up until the exact moment we want you to see us. . . . Our successes are undeniably impressive: we’ve battled the Overworld mobs, dealt with enemy factions, and defeated the ender dragon multiple times.   Study this book carefully and you just might manage to stay alive as long as we have.   THE CHIEFCollect all of the official Minecraft books:Minecraft: The IslandMinecraft: The CrashMinecraft: The Survivors’ Book of SecretsMinecraft: Exploded Builds: Medieval FortressMinecraft: Guide to ExplorationMinecraft: Guide to CreativeMinecraft: Guide to the Nether & the EndMinecraft: Guide to RedstoneMinecraft: MobestiaryMinecraft: Guide to Enchantments & PotionsMinecraft: Guide to PVP MinigamesMinecraft: Guide to Farming

    Sam Hunt faces up to the big three-o, and begins to feel that it might just be the beginning of the end.