Focused on helping students understand and construct proofs and expanding their mathematical maturity, this best-selling text is an accessible introduction to discrete mathematics. Johnsonbaugh's algorithmic approach emphasizes problem-solving techniques. The Seventh Edition reflects user and reviewer feedback on both content and organization.

    But soon a trumpet makes a duet, a french horn a trio, and so on until the entire orchestra is assembled on stage. Written in elegant and rhythmic verse and illustrated with playful and flowing artwork, this unique counting book is the perfect introduction to musical groups. Readers of all ages are sure to shout “Encore!” when they reach the final page of this joyous celebration of classical music.

    It is based on the idea that everyone acts competitively and in his own best interest. With the help of mathematical models, it is possible to anticipate the actions of others in nearly all life's enterprises. This book includes down-to-earth examples and solutions, as well as charts and illustrations designed to help teach the concept. In The Complete Idiot's Guide® to Game Theory, Dr. Edward C. Rosenthal makes it easy to understand game theory with insights into:? The history of the disciple made popular by John Nash, the mathematician dramatized in the film A Beautiful Mind? The role of social behavior and psychology in this amazing discipline? How important game theory has become in our society and why

    There's little money, but there are plenty of beans-in fact, Ma cooks them for supper every single night! Beans start looking better when Marshall sees the contest posted in the furniture store window. HOW MANY BEANS ARE IN THE JAR? WIN THIS BRAND NEW SEWING MACHINE! Ma needs that sewing machine-but how can Lomans possibly guess right? Then Marshall remembers something he learned in arithmetic class. Becky Birtha's engaging story, based on her grandmother's memories of Depression years in the African American community, is illustrated by Nicole Tadgell's expressive paintings.

    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.

    Together, the Paskowitz clan lived a vagabonding bohemian existence, eschewing material possessions in favor of intangible riches like health and good cheer . . . all the while careening along the world's coastlines in search of the perfect wave.In "Scratching the Horizon, " Izzy Paskowitz looks back at his unusual upbringing, and his lifelong passion for the sport that carries his family's stamp. As the fourth-oldest child in a family of inveterate surfers, rock stars, and beach bums, he is uniquely qualified to shine a light on a childhood that has come to symbolize the surfing credo, a reckless young adulthood that nearly cost him his sanity, and a maturing sense of self and purpose that allows him to lift others on the back of his experience.As the father of a son with autism and the founder of "Surfers Healing," a foundation devoted to expanding the horizons of children with autism through surfing, Paskowitz has found a way to connect the surreal aspects of his childhood to the harsh realities of adulthood, and he shares these discoveries in this wickedly entertaining and transforming memoir.

    In this lively picture book, children discover a world of shapes all around them: Rectangles are ice-cream carts and stone metates, triangles are slices of watermelon and quesadillas. Many of the featured objects are Latino in origin, but all are universal in appeal. With rich, boisterous illustrations, a fun-to-read rhyming text, and an informative glossary, this playful concept book will reinforce the shapes found in every child's day!

    Can two fish, tails going swish, help? What about three moose, munching on spruce? Will four crickets, chirping in the thickets, be able to pull the unlucky duck out of the muck? With bright, spirited illustrations by Jane Chapman, this counting tale by Phyllis Root is a feast of sounds and numbers that will have young listeners scrambling to join the slippy, sloppy fun.

    In two years, this ring of card savants earned more than three million dollars. Filled with tense action and incredibly close calls, this is a real-life adventure that could have stepped straight out of a Hollywood film.

    The first person narration gives this book a friendly, personal feel that makes Galileo's remarkable achievements and ideas completely accessible to young readers. And Christensen's artwork glows with the light of the stars he studied.Galileo's contributions were so numerous—the telescope! the microscope!—and his ideas so world-changing—the sun-centric solar system!—that Albert Einstein called him "the father of modern science." But in his own time he was branded a heretic and imprisoned in his home. He was a man who insisted on his right to pursue the truth, no matter what the cost—making his life as interesting and instructive as his ideas.

    In Dataclysm, Christian Rudder uses it to show us who we truly are.   For centuries, we’ve relied on polling or small-scale lab experiments to study human behavior. Today, a new approach is possible. As we live more of our lives online, researchers can finally observe us directly, in vast numbers, and without filters. Data scientists have become the new demographers.   In this daring and original book, Rudder explains how Facebook "likes" can predict, with surprising accuracy, a person’s sexual orientation and even intelligence; how attractive women receive exponentially more interview requests; and why you must have haters to be hot. He charts the rise and fall of America’s most reviled word through Google Search and examines the new dynamics of collaborative rage on Twitter. He shows how people express themselves, both privately and publicly. What is the least Asian thing you can say? Do people bathe more in Vermont or New Jersey? What do black women think about Simon & Garfunkel? (Hint: they don’t think about Simon & Garfunkel.) Rudder also traces human migration over time, showing how groups of people move from certain small towns to the same big cities across the globe. And he grapples with the challenge of maintaining privacy in a world where these explorations are possible.   Visually arresting and full of wit and insight, Dataclysm is a new way of seeing ourselves—a brilliant alchemy, in which math is made human and numbers become the narrative of our time.

    Zip. Zilch. Nada. That's what all the other numbers think of Zero. He doesn't add anything in addition. He's of no use in division. And don't even ask what he does in multiplication. (Hint: Poof!) But Zero knows he's worth a lot, and when the other numbers get into trouble, he swoops in to prove that his talents are innumerable.

    Connecting games to math, science, and psychology, GameTek has grown to be one of the most popular parts of the show.This volume commemorates the anniversary with a collection of over seventy of the best segments, many with annotations and illustrations.With chapters on everything from Rock, Paper, Scissors to the Prisoner’s Dilemma to Player Engagement to Quasicrystals to Buddha’s Forbidden Games, GameTek is sure to delight not just game designers and players, but anyone who wants to learn about the world from a new perspective.Sections:• Game Theory• Math• Psychology• Science• Game Mechanics• Psychology Games• HistoryFrom the first time I heard it, the GameTek segment in The Dice Tower podcast became my favorite part of the show. Listening to Geoff is like going to your favorite lesson with your favorite teacher. He teaches about games (yay!) and does it in a very interesting way with lots of examples. He does amazing stuff. He knows about the construction of games, he knows the theory, he knows all that stuff behind the scenes that we gamers do not see when just playing a game and having fun.Ignacy Trzewiczek, Portal GamesThere are many hobby game 'experts' out there, dying to give you their opinion on how the industry works, how games work, what types of games are best, and so on. Geoff Engelstein is the expert that requires your attention. He is a scholar of games, and his research on games and other principles that apply to gaming is matched by none.Stephen Buonocore, Stronghold GamesOver the years, I’ve listened to a lot of people talk about board games, yet the short snippets that Geoff puts out are the ones that I find myself thinking about in the quiet of the night. His are the segments that you laugh at and say, “I have NO idea what you are talking about” — but later on use to show people just how intellectual you are.Tom Vasel, The Dice Tower

    The book is non-theoretical, explaining concepts intuitively and teaching problem solving through worked examples and step-by-step instructions. This edition places more emphasis on conceptual understanding and understanding results. This edition also features increased emphasis on Excel, MINITAB, and the TI-83 Plus and TI 84-Plus graphing calculators, computing technologies commonly used in such courses.

    Virtually everything in our lives is digital, numerical, or quantified. The story of how and where we got these numerals, which we so depend on, has for thousands of years been shrouded in mystery. Finding Zero is an adventure filled saga of Amir Aczel's lifelong obsession: to find the original sources of our numerals. Aczel has doggedly crisscrossed the ancient world, scouring dusty, moldy texts, cross examining so-called scholars who offered wildly differing sets of facts, and ultimately penetrating deep into a Cambodian jungle to find a definitive proof. Here, he takes the reader along for the ride.The history begins with the early Babylonian cuneiform numbers, followed by the later Greek and Roman letter numerals. Then Aczel asks the key question: where do the numbers we use today, the so-called Hindu-Arabic numerals, come from? It is this search that leads him to explore uncharted territory, to go on a grand quest into India, Thailand, Laos, Vietnam, and ultimately into the wilds of Cambodia. There he is blown away to find the earliest zero—the keystone of our entire system of numbers—on a crumbling, vine-covered wall of a seventh-century temple adorned with eaten-away erotic sculptures. While on this odyssey, Aczel meets a host of fascinating characters: academics in search of truth, jungle trekkers looking for adventure, surprisingly honest politicians, shameless smugglers, and treacherous archaeological thieves—who finally reveal where our numbers come from.