Ian Hacking here presents a philosophical critique of early ideas about probability, induction and statistical inference and the growth of this new family of ideas in the fifteenth, sixteenth and seventeenth centuries. The contemporary debate centres round such figures as Pascal, Leibniz and Jacques Bernoulli. What brought about the change in ideas? The author invokes in his explanation a wider intellectual framework involving the growth of science, economics and the theology of the period.

    

    In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number π , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time.Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.

    Make the bet more attractive for them: the game could have 10 or 20 rounds, and you’ll give them the privilege of starting first in every s-i-n-g-l-e round. “Piece of cake!” they will think and they will take the bet. Only to discover in despair, 10 or 20 rounds later, that it is impossible to beat you, even once. This book reveals a simple system that will help you never lose a single game from the moment you learn them. Let us repeat that.After reading this book and for the rest of your life, you will never, ever lose a game of Tic-Tac-Toe again! How is it possible never to lose in Tic-Tac-Toe? Tic-Tac-Toe is a “solved” game, meaning that there are mathematically proven strategies to defend yourself against losing. If you play with these optimal strategies in mind, you may win and you can’t lose. If your opponent also plays with the optimal strategies in mind, neither will win, and the game will always end in a draw.However, very few people really know these strategies.This book reveals an easy system of only 8 strategies that will make you a Tic-Tac-Toe Master. If you learn and start applying these 8 strategies, we guarantee that you will never lose a game of Tic-Tac-Toe again. Is it easy to learn these strategies? Very easy! These 8 strategies are presented in 8 mini chapters, with illustrations and step-by-step explanations. Even a kid can read this book and learn the strategies!In just 1 hour you will have learnt all 8 strategies and you will be ready to start applying them. Will I have to think too hard to apply these strategies? As a matter of fact, all you have to do is to memorize our simple system. As soon as you learn this system, every game will be a no-brainer for you. Our system tells you exactly how to play or how to respond to your opponent’s move. Simple as A-B-C.For example, if your opponent plays first and chooses a corner, our system tells you exactly how to respond in order to eliminate any chance of losing the game. Is this for real? Do you guarantee that I will never lose a TTT game again? YES!!! We challenge you to read this book and then immediately start playing Tic-Tac-Toe online, against a computer, applying everything you have learnt. You will discover that even a computer can’t beat you.Your new super powers in Tic-Tac-Toe will blow your mind! Start right now! Buy the book, learn the strategies and NEVER lose a Tic-Tac-Toe game again from that moment and for the rest of your life!Scroll to the top of the page and click the BUY WITH 1-CLICK Button!

    Cosmic Universe and Human History, microcosm and macrocosm, inorganic and living matter coexist and form a unique unity manifested in multiple forms. The Physical and the Mental constitute the form and the content of the World. The world does not consist of subjects and objects, the “subject” and the “object” are metaphysical abstractions of the single and indivisible Wholeness. Man’s finite knowledge separates the Whole into parts and studies fragmentarily the beings. The Wholeness is manifested in multiple forms and each form encapsulates the Wholeness. The rational explanation of the excerpts and the intuitive apprehension of the Wholeness are required to combine and create the open thought and the holistic knowledge. This means that the measurement should be defined by the ''measure'', but the responsibility for determining the ''measure'' depends on the man. This requires that man overcomes the anthropocentric arrogance and the narcissistic selfishness and he joins the Cosmic World in a friendly and creative manner.

    

    FWUMP! A secret door suddenly closed behind them . . .Matt and Bibi use math to escape from a pharaoh's tomb!When the Zills family is summoned to Egypt to help find the hidden burial site of an ancient pharaoh, Matt and Bibi are locked into an adventure they did not expect. Stuck inside a pyramid with only each other, their dog Riley, and geometric hieroglyphics to help them find their way, the twins must use their math knowledge to solve the riddles on the walls and locate the burial chamber. Luckily, the two know their stuff when it comes to geometric solids.

    It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.

    

    

    An extremely clever account.--The New Yorker.

    . . refuge and home to poets and gangsters, tycoons and politicians, preachers and outlaws, musicians and spiritualists, outcasts and rebels . . . Stephen Silverman and Raphael Silver tell of the turning points that made the Catskills so vital to the development of America: Henry Hudson’s first spotting the distant blue mountains in 1609; the New York State constitutional convention, resulting in New York’s own Declaration of Independence from Great Britain and its own constitution, causing the ire of the invading British army . . . the Catskills as a popular attraction in the 1800s, with the construction of the Catskill Mountain House and its rugged imitators that offered WASP guests “one-hundred percent restricted” accommodations (“Hebrews will knock vainly for admission”), a policy that remained until the Catskills became the curative for tubercular patients, sending real-estate prices plummeting and the WASP enclave on to richer pastures . . . Here are the gangsters (Jack “Legs” Diamond and Dutch Schultz, among them) who sought refuge in the Catskill Mountains, and the resorts that after World War II catered to upwardly mobile Jewish families, giving rise to hundreds of hotels inspired by Grossinger’s, the original “Disneyland with knishes”—the Concord, Brown’s Hotel, Kutsher’s Hotel, and others—in what became known as the Borscht Belt and Sour Cream Alps, with their headliners from movies and radio (Phil Silvers, Eddie Cantor, Milton Berle, et al.), and others who learned their trade there, among them Moss Hart (who got his start organizing summer theatricals), Sid Caesar, Lenny Bruce, Mel Brooks, Woody Allen, and Joan Rivers. Here is a nineteenth-century America turning away from England for its literary and artistic inspiration, finding it instead in Washington Irving’s “Rip Van Winkle” and his childhood recollections (set in the Catskills) . . . in James Fenimore Cooper’s adventure-romances, which provided a pastoral history, describing the shift from a colonial to a nationalist mentality . . . and in the canvases of Thomas Cole, Asher B. Durand, Frederick Church, and others that caught the grandeur of the wilderness and that gave texture, color, and form to Irving’s and Cooper’s imaginings. Here are the entrepreneurs and financiers who saw the Catskills as a way to strike it rich, plundering the resources that had been likened to “creation,” the Catskills’ tanneries that supplied the boots and saddles for Union troops in the Civil War . . . and the bluestone quarries whose excavated rock became the curbs and streets of the fast-growing Eastern Seaboard.  Here are the Catskills brought fully to life in all of their intensity, beauty, vastness, and lunacy.

    Those first pioneering citizens of the Big Easy were thieves, vagabonds and criminals of all kinds. By the time Louisiana fell under American control, New Orleans had become a city of debauchery and corruption camouflaged by decadence. It was also considered one of the country's most dangerous cities, with a reputation of crime and loose morals. Rampant gambling and prostitution were the norm in nineteenth-century New Orleans, and over one-third of today's French Quarter was considered a hotbed of sin. Tales in this volume include that of the notorious Axeman who plagued the streets of the Crescent City in the early 1900s and Kate Townsend, a prostitute who was murdered by her own lover, a man who later was awarded her inheritance.

    Confident America has been conquered, Satan prepares to initiate the final stage of his master plan, but it requires a willing partner—will she say yes?Convinced his demon general Lord Nefarious has successfully conquered America, Satan himself now decides it’s time for him to step out of the shadows and complete his master plan. But for it to succeed, he must find a willing partner… On the run, frightened, and alone, Rae is cornered one fateful night in a rundown motel room by the devil himself. He has a once-in-eternity offer for her—the chance to change the world forever. But to convince her to freely accept it, Satan needs to connect with Rae’s past, present, and future to prove to her he can be trusted after all. A showdown for the ages is officially on, and humanity hangs in the balance.

    Providing a concise introduction to abstract algebra, this work unfolds some of the fundamental systems with the aim of reaching applicable, significant results.