Originally written to define the relation between the theories of transfinite numbers and mathematical games, the resulting work is a mathematically sophisticated but eminently enjoyable guide to game theory. By defining numbers as the strengths of positions in certain games, the author arrives at a new class, the surreal numbers, that includes both real numbers and ordinal numbers. These surreal numbers are applied in the author's mathematical analysis of game strategies. The additions to the Second Edition present recent developments in the area of mathematical game theory, with a concentration on surreal numbers and the additive theory of partizan games.

    More than a possibility, it is becoming a necessity: whether our hand is forced by climate change and resource depletion or whether future catastrophes compel us to abandon Earth, one day we will make our homes among the stars.World-renowned physicist and futurist Michio Kaku explores in rich, accessible detail how humanity might gradually develop a sustainable civilization in outer space. With his trademark storytelling verve, Kaku shows us how science fiction is becoming reality: mind-boggling developments in robotics, nanotechnology, and biotechnology could enable us to build habitable cities on Mars; nearby stars might be reached by microscopic spaceships sailing through space on laser beams; and technology might one day allow us to transcend our physical bodies entirely.With irrepressible enthusiasm and wonder, Dr. Kaku takes readers on a fascinating journey to a future in which humanity could finally fulfil its long-awaited destiny among the stars - and perhaps even achieve immortality.

    Mirroring his theory, Minsky boldly casts The Society of Mind as an intellectual puzzle whose pieces are assembled along the way. Each chapter -- on a self-contained page -- corresponds to a piece in the puzzle. As the pages turn, a unified theory of the mind emerges, like a mosaic. Ingenious, amusing, and easy to read, The Society of Mind is an adventure in imagination.

    There’s a famous piece of writing advice—offered by Ernest Hemingway, Stephen King, and myriad writers in between—not to use -ly adverbs like “quickly” or “fitfully.” It sounds like solid advice, but can we actually test it? If we were to count all the -ly adverbs these authors used in their careers, do they follow their own advice compared to other celebrated authors? What’s more, do great books in general—the classics and the bestsellers—share this trait?In Nabokov’s Favorite Word Is Mauve, statistician and journalist Ben Blatt brings big data to the literary canon, exploring the wealth of fun findings that remain hidden in the works of the world’s greatest writers. He assembles a database of thousands of books and hundreds of millions of words, and starts asking the questions that have intrigued curious word nerds and book lovers for generations: What are our favorite authors’ favorite words? Do men and women write differently? Are bestsellers getting dumber over time? Which bestselling writer uses the most clichés? What makes a great opening sentence? How can we judge a book by its cover? And which writerly advice is worth following or ignoring?

    Why, he wondered, do we inflict a full menu of mathematics—algebra, geometry, trigonometry, even calculus—on all young Americans, regardless of their interests or aptitudes?The Math Myth expands Hacker’s scrutiny of many widely held assumptions, like the notions that mathematics broadens our minds, that mastery of azimuths and asymptotes will be needed for most jobs, that the entire Common Core syllabus should be required of every student. He worries that a frenzied emphasis on STEM is diverting attention from other pursuits and subverting the spirit of the country.In fact, Hacker honors mathematics as a calling (he has been a professor of mathematics) and extols its glories and its goals. Yet he shows how mandating it for everyone prevents other talents from being developed and acts as an irrational barrier to graduation and careers. He proposes alternatives, including teaching facility with figures, quantitative reasoning, and understanding statistics.The Math Myth is sure to spark a heated and needed national conversation not just about mathematics but about the kind of people and society we want to be.

    Who has not wondered about how the human body works? Can a person drink too much water? How does gravity make things fall? From topics as varied as the Earth and atoms to sports and music, we all carry with us those questions we've always wanted answered but never knew whom to ask.Mysteries lurk in our bodies, our houses, the outdoors, in the sky above us, and the universe beyond us. Now, award-winning high school science teacher Larry Scheckel tackles 250 questions that help us to more clearly understand all of these mysteries. Scheckel perfected the art of explaining science topics not only as a science teacher for more than 38 years in his native Wisconsin, but also through writing a weekly column in his local paper, the "Tomah Journal," in which each week he'd field a question like those that are collected in this book.

    Yet in The Science of Interstellar, Kip Thorne, the physicist who assisted Nolan on the scientific aspects of Interstellar, shows us that the movie’s jaw-dropping events and stunning, never-before-attempted visuals are grounded in real science. Thorne shares his experiences working as the science adviser on the film and then moves on to the science itself. In chapters on wormholes, black holes, interstellar travel, and much more, Thorne’s scientific insights—many of them triggered during the actual scripting and shooting of Interstellar—describe the physical laws that govern our universe and the truly astounding phenomena that those laws make possible.Interstellar and all related characters and elements are trademarks of and © Warner Bros. Entertainment Inc. (s14).

    Based on a National Magazine Award-winning article, this masterful biography of Hungarian-born Paul Erdos is both a vivid portrait of an eccentric genius and a layman's guide to some of this century's most startling mathematical discoveries.

    Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio. Even as he initiates us into the mysteries of real numbers, functions, and limits, Berlinski explores the furthest implications of his subject, revealing how the calculus reconciles the precision of numbers with the fluidity of the changing universe. "An odd and tantalizing book by a writer who takes immense pleasure in this great mathematical tool, and tries to create it in others."--New York Times Book Review

    But what if you could have your computer do them for you?In "Automate the Boring Stuff with Python," you'll learn how to use Python to write programs that do in minutes what would take you hours to do by hand no prior programming experience required. Once you've mastered the basics of programming, you'll create Python programs that effortlessly perform useful and impressive feats of automation to: Search for text in a file or across multiple filesCreate, update, move, and rename files and foldersSearch the Web and download online contentUpdate and format data in Excel spreadsheets of any sizeSplit, merge, watermark, and encrypt PDFsSend reminder emails and text notificationsFill out online formsStep-by-step instructions walk you through each program, and practice projects at the end of each chapter challenge you to improve those programs and use your newfound skills to automate similar tasks.Don't spend your time doing work a well-trained monkey could do. Even if you've never written a line of code, you can make your computer do the grunt work. Learn how in "Automate the Boring Stuff with Python.""

    Hardy, in the years before World War I. Through their eyes the reader is taken on a journey through numbers theory. Ramanujan would regularly telescope 12 steps of logic into two - the effect is said to be like Dr Watson in the train of some argument by Sherlock Holmes. The language of symbols and infinitely large (and small) regions of mathematics should be rendered with clarity for the general reader.

    As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.

    Yet this is the first book to tell the story of rain. Cynthia Barnett's  Rain begins four billion years ago with the torrents that filled the oceans, and builds to the storms of climate change. It weaves together science—the true shape of a raindrop, the mysteries of frog and fish rains—with the human story of our ambition to control rain, from ancient rain dances to the 2,203 miles of levees that attempt to straitjacket the Mississippi River. It offers a glimpse of our "founding forecaster," Thomas Jefferson, who measured every drizzle long before modern meteorology. Two centuries later, rainy skies would help inspire Morrissey’s mopes and Kurt Cobain’s grunge. Rain is also a travelogue, taking readers to Scotland to tell the surprising story of the mackintosh raincoat, and to India, where villagers extract the scent of rain from the monsoon-drenched earth and turn it into perfume. Now, after thousands of years spent praying for rain or worshiping it; burning witches at the stake to stop rain or sacrificing small children to bring it; mocking rain with irrigated agriculture and cities built in floodplains; even trying to blast rain out of the sky with mortars meant for war, humanity has finally managed to change the rain. Only not in ways we intended. As climate change upends rainfall patterns and unleashes increasingly severe storms and drought, Barnett shows rain to be a unifying force in a fractured world. Too much and not nearly enough, rain is a conversation we share, and this is a book for everyone who has ever experienced it.

    These themes include mathematical reasoning, combinatorial analysis, discrete structures, algorithmic thinking, and enhanced problem-solving skills through modeling. Its intent is to demonstrate the relevance and practicality of discrete mathematics to all students. The Fifth Edition includes a more thorough and linear presentation of logic, proof types and proof writing, and mathematical reasoning. This enhanced coverage will provide students with a solid understanding of the material as it relates to their immediate field of study and other relevant subjects. The inclusion of applications and examples to key topics has been significantly addressed to add clarity to every subject. True to the Fourth Edition, the text-specific web site supplements the subject matter in meaningful ways, offering additional material for students and instructors. Discrete math is an active subject with new discoveries made every year. The continual growth and updates to the web site reflect the active nature of the topics being discussed. The book is appropriate for a one- or two-term introductory discrete mathematics course to be taken by students in a wide variety of majors, including computer science, mathematics, and engineering. College Algebra is the only explicit prerequisite.

    From early concepts of whether the world was a disk floating in water (Thales) or pear-shaped (Columbus), Davis explains earthquakes, rain forests, Atlantis and whether there are canaries on the Canary Islands. In short, he covers the scientific, physical, and political history of the Earth and does his level best to raise our collective geographic IQ while entertaining us.