That they exist, Simon Singh reveals, underscores the brilliance of the shows' writers, many of whom have advanced degrees in mathematics in addition to their unparalleled sense of humor. While recounting memorable episodes such as “Bart the Genius” and “Homer3,” Singh weaves in mathematical stories that explore everything from p to Mersenne primes, Euler's equation to the unsolved riddle of P v. NP; from perfect numbers to narcissistic numbers, infinity to even bigger infinities, and much more. Along the way, Singh meets members of The Simpsons' brilliant writing team-among them David X. Cohen, Al Jean, Jeff Westbrook, and Mike Reiss-whose love of arcane mathematics becomes clear as they reveal the stories behind the episodes. With wit and clarity, displaying a true fan's zeal, and replete with images from the shows, photographs of the writers, and diagrams and proofs, The Simpsons and Their Mathematical Secrets offers an entirely new insight into the most successful show in television history.

    . . full of intellectual treats and tricks, of whimsy and deep scientific philosophy. It is highbrow entertainment at its best, a teasing challenge to all who aspire to think about the universe." — New York Herald TribuneOne of the world's foremost nuclear physicists (celebrated for his theory of radioactive decay, among other accomplishments), George Gamow possessed the unique ability of making the world of science accessible to the general reader.He brings that ability to bear in this delightful expedition through the problems, pleasures, and puzzles of modern science. Among the topics scrutinized with the author's celebrated good humor and pedagogical prowess are the macrocosm and the microcosm, theory of numbers, relativity of space and time, entropy, genes, atomic structure, nuclear fission, and the origin of the solar system.In the pages of this book readers grapple with such crucial matters as whether it is possible to bend space, why a rocket shrinks, the "end of the world problem," excursions into the fourth dimension, and a host of other tantalizing topics for the scientifically curious. Brimming with amusing anecdotes and provocative problems, One Two Three . . . Infinity also includes over 120 delightful pen-and-ink illustrations by the author, adding another dimension of good-natured charm to these wide-ranging explorations.Whatever your level of scientific expertise, chances are you'll derive a great deal of pleasure, stimulation, and information from this unusual and imaginative book. It belongs in the library of anyone curious about the wonders of the scientific universe. "In One Two Three . . . Infinity, as in his other books, George Gamow succeeds where others fail because of his remarkable ability to combine technical accuracy, choice of material, dignity of expression, and readability." — Saturday Review of Literature

    It offers superior coverage of all key areas, including descriptive chemistry, MO theory, bonding, and physical inorganic chemistry. Chapter topics are presented in logical order and include: basic concepts; nuclear properties; an introduction to molecular symmetry; bonding in polyatomic molecules; structures and energetics of metallic and ionic solids; acids, bases, and ions in aqueous solution; reduction and oxidation; non-aqueous media; and hydrogen. Four special topic chapters, chosen for their currency and interest, conclude the book. For researchers seeking the latest information in the field of inorganic chemistry.

    Shilov, Professor of Mathematics at the Moscow State University, covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional algebras and their representations, with an appendix on categories of finite-dimensional spaces.The author begins with elementary material and goes easily into the advanced areas, covering all the standard topics of an advanced undergraduate or beginning graduate course. The material is presented in a consistently clear style. Problems are included, with a full section of hints and answers in the back.Keeping in mind the unity of algebra, geometry and analysis in his approach, and writing practically for the student who needs to learn techniques, Professor Shilov has produced one of the best expositions on the subject. Because it contains an abundance of problems and examples, the book will be useful for self-study as well as for the classroom.

    The books published on the subject are so technical that only a person trained in pure physics and higher mathematics is able to fully understand them. In order to make a popular explanation of this far-reaching theory available, the present book is published.

    A highly acclaimed action strategy RPG, the guide covers the best tips for completing each quest along with information on multiple outcomes and how they will affect your hero. Learn what can befall your hero with each promise you make and discover what happens if you keep it. Also includes area information, illustrated maps and a real estate guide with prices, rents and repairs plus much more.

    In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes, everyday examples, and ruminations on history, literature, and more, Tammet allows us to share his unique insights and delight in the way numbers, fractions, and equations underpin all our lives. Inspired by the complexity of snowflakes, Anne Boleyn's eleven fingers, or his many siblings, Tammet explores questions such as why time seems to speed up as we age, whether there is such a thing as an average person, and how we can make sense of those we love. Thinking In Numbers will change the way you think about math and fire your imagination to see the world with fresh eyes.

    From the first lesson to the last, each chapter introduces games of increasing complexity and then teaches the game theoretical tools necessary to solve them. Inside, you will find: All the basics fully explained, including pure strategy Nash equilibrium, mixed strategy Nash equilibrium, the mixed strategy algorithm, how to calculate payoffs, strict dominance, weak dominance, iterated elimination of strictly dominated strategies, iterated elimination of weakly dominated strategies, and more! Dozens of games solved, including the prisoner's dilemma, stag hunt, matching pennies, zero sum games, battle of the sexes/Bach or Stravinsky, chicken/snowdrift, pure coordination, deadlock, and safety in numbers! Crystal clear, line-by-line calculations of every step, with more than 200 images so you don't miss a thing! Tons of applications: war, trade, game shows, and duopolistic competition. Quick, efficient, and to the point, Game Theory 101: The Basics is perfect for introductory game theory, intermediate microeconomics, and political science.

    Step 1: Shedding Light on Light Sources Step 2: Conquer ISO Settings Step 3: Understanding Aperture/Depth of Field Step 4: Choosing a Shutter Speed Step 5: Composition Step 6: Tripods Step 7: Filters Heather Hummel Photography Spreads Pixel Dust on Land and Seascapes. Her photography has been on exhibit at Agora Gallery in the Chelsea District of New York City, C'ville Coffee in Charlottesville, VA and Valley View Hospital in Glenwood Springs, CO. Additionally, she licenses her photos through ImageBrief.

    Drawing from Scientific American's "Fact or Fiction" and "Strange But True" columns, we've selected fifty-eight of the most surprising, fascinating, useful, and just plain wacky topics confronted by our writers over the years.

    . . a fantastic book to read." 2058. As superpowers squabble over the remaining oil, and civilization limps on in a virtual universe, a cunning and ruthless genius uses the digital connectivity of our world to manipulate governments, subliminally sway the masses - and even kill - in his quest for immortality.The first bionic soldier­ - now mentally broken, a prodigy hacker abused as a weapon, a psychopath seeking redemption, and the CEO who created the cyber universe - and unwittingly - the means to rule both, are all that stands in his way.

    Though the answers may seem simple, their profound implications make the prisoner's dilemma one of the great unifying concepts of science. Watching players bluff in a poker game inspired John von Neumann--father of the modern computer and one of the sharpest minds of the century--to construct game theory, a mathematical study of conflict and deception. Game theory was readily embraced at the RAND Corporation, the archetypical think tank charged with formulating military strategy for the atomic age, and in 1950 two RAND scientists made a momentous discovery.Called the prisoner's dilemma, it is a disturbing and mind-bending game where two or more people may betray the common good for individual gain. Introduced shortly after the Soviet Union acquired the atomic bomb, the prisoner's dilemma quickly became a popular allegory of the nuclear arms race. Intellectuals such as von Neumann and Bertrand Russell joined military and political leaders in rallying to the preventive war movement, which advocated a nuclear first strike against the Soviet Union. Though the Truman administration rejected preventive war the United States entered into an arms race with the Soviets and game theory developed into a controversial tool of public policy--alternately accused of justifying arms races and touted as the only hope of preventing them.A masterful work of science writing, Prisoner's Dilemma weaves together a biography of the brilliant and tragic von Neumann, a history of pivotal phases of the cold war, and an investigation of game theory's far-reaching influence on public policy today. Most important, Prisoner's Dilemma is the incisive story of a revolutionary idea that has been hailed as a landmark of twentieth-century thought.

    But getting started with keto and sticking with it can be tough. That's where Keto Quick Start comes in.In her signature practical style, Diane makes keto doable for everyone, whether you're completely new to very low carb eating or you've tried it before and want to find a better way to make it work for you. Keeping the focus on real foods that nourish your body, she walks you through a gentle transition to keto and helps you figure out how to make it sustainable for the long term. Keto Quick Start targets everyday real-world concerns such as what to expect in the first few weeks and how to know if you're on the right track, how to determine if you need more carbs and how to incorporate those carbs in a healthy way, how to customize keto for your personal goals (especially weight loss), and things to be aware of if you’re concerned about a particular health issue.Keto Quick Start includes 100 delicious keto recipes, four weekly meal plans, more than a dozen easy meal ideas (no recipe required!), and troubleshooting tips and tricks. It also features a unique and easy-to-use template that makes tracking your food quick and simple. The recipes include: Lemon Blueberry Keto Muffins Kale, Bacon & Goat Cheese Frittata Spaghetti Bolognese Bake Powered-Up Bacon Cheeseburger Shrimp Pad Thai Pesto-Stuffed Mushrooms Chocolate Orange Fudge Creamy Peanut Butter Bites

    No new cells. No major changes. If you grew up depressed, angry, sad, aggressive, or nasty, you'd be that way for life. And, as you grew older, there'd be nowhere to go but down, as disease, age, or injury wiped out precious, irreplaceable brain cells. But over the past five, ten, twenty years, all that's changed. Using fMRI and PET scanning technology, neuroscientists can now look deep inside the human brain and they've discovered that it's amazingly flexible, resilient, and plastic. Pictures of the Mind: What the New Neuroscience Tells Us About Who We Are shows you what they've discovered and what it means to all of us. Through author Miriam Boleyn-Fitzgerald's masterfully written narrative and use stunning imagery, you'll watch human brains healing, growing, and adapting to challenges. You'll gain powerful new insights into the interplay between environment and genetics, begin understanding how people can influence their own intellectual abilities and emotional makeup, and understand the latest stunning discoveries about coma and "locked-in" syndrome. You'll learn about the tantalizing discoveries that may lead to cures for traumatic brain injury, stroke, emotional disorders, PTSD, drug addiction, chronic pain, maybe even Alzheimer's. Boleyn-Fitzgerald shows how these discoveries are transforming our very understanding of the "self," from an essentially static entity to one that can learn and change throughout life and even master the art of happiness.

    It deals with one powerful obsession that preoccupied Escher: what he called "the regular division of the plane," the puzzlelike interlocking of birds, fish, lizards, and other natural forms in continuous patterns. Schattschneider asks, "How did he do it?" She answers the question by analyzing Escher's notebooks." Visions of Symmetry includes many of Escher's masterworks, as well as hundreds of lesser-known examples of his work. This new edition also features a foreward and an illustrated epilogue that reveals new information about Escher's inspiration and shows how his ideas of symmetry have influenced mathematicians, computer scientists, and contemporary artists.