Clear, comprehensive coverage of utility theory, 2-person zero-sum games, 2-person non-zero-sum games, n-person games, individual and group decision-making, more. Bibliography.

    Sousa discusses the cognitive mechanisms for learning mathematics and the environmental and developmental factors that contribute to mathematics difficulties. This award-winning text examines:Children's innate number sense and how the brain develops an understanding of number relationships Rationales for modifying lessons to meet the developmental learning stages of young children, preadolescents, and adolescents How to plan lessons in PreK-12 mathematics Implications of current research for planning mathematics lessons, including discoveries about memory systems and lesson timing Methods to help elementary and secondary school teachers detect mathematics difficulties Clear connections to the NCTM standards and curriculum focal points

    Over 100 problems at ends of chapters. Answers in back of book. 1962 edition.

    It offers targeted assessment, easy-to-follow instruction, hundreds of reinforcement activities, and simulated GED tests for all five GED subject areas: Test 1 Language Arts, Writing; Test 2 Social Studies; Test 3 Science; Test 4 Language Arts, Reading; Test 5 Mathematics. A half-length Pretest for each subject helps pinpoint strengths and weaknesses for targeting study. Clear instruction, followed by hundred of practice questions in official GED format help to build confidence. A Posttest for each subject is followed by a second Practice Test in official GED format to determine readiness for the actual test.

    Communities that have lived side by side for decades are locked in a violent conflict. Yards from a burning mosque, the body of a teenage boy is found hanging from a meat-hook. A sign dangles around his neck, proclaiming his crime. 'Terrorist.' Seasoned detective Ewan Striker is called in to investigate the murder. His enquiries lead him to form an unlikely alliance with rookie cop Tag Westland. Together, they discover dark forces are at work on both sides, and find themselves in a race against time to prevent the biggest terrorist atrocity ever seen on English soil.

    Shows how any proof can be understood as a sequence of techniques. Covers the full range of techniques used in proofs, such as the contrapositive, induction, and proof by contradiction. Explains how to identify which techniques are used and how they are applied in the specific problem. Illustrates how to read written proofs with many step-by-step examples. Includes new, expanded appendices related to discrete mathematics, linear algebra, modern algebra and real analysis.

    More and more leading businesses today use estimation questions in interviews to test applicants' abilities to think on their feet. Guesstimation enables anyone with basic math and science skills to estimate virtually anything--quickly--using plausible assumptions and elementary arithmetic.Lawrence Weinstein and John Adam present an eclectic array of estimation problems that range from devilishly simple to quite sophisticated and from serious real-world concerns to downright silly ones. How long would it take a running faucet to fill the inverted dome of the Capitol? What is the total length of all the pickles consumed in the US in one year? What are the relative merits of internal-combustion and electric cars, of coal and nuclear energy? The problems are marvelously diverse, yet the skills to solve them are the same. The authors show how easy it is to derive useful ballpark estimates by breaking complex problems into simpler, more manageable ones--and how there can be many paths to the right answer. The book is written in a question-and-answer format with lots of hints along the way. It includes a handy appendix summarizing the few formulas and basic science concepts needed, and its small size and French-fold design make it conveniently portable. Illustrated with humorous pen-and-ink sketches, Guesstimation will delight popular-math enthusiasts and is ideal for the classroom.

    what is 8?What is the next letter in the sequence: M, V, E, M, J, S, U, ?Which of the following words is the odd one out: CHAT, COMMENT, ELF, MANGER, PAIN, POUR?GCHQ is a top-secret intelligence and security agency which recruits some of the very brightest minds. Over the years, their codebreakers have helped keep our country safe, from the Bletchley Park breakthroughs of WWII to the modern-day threat of cyberattack. So it comes as no surprise that, even in their time off, the staff at GCHQ love a good puzzle. Whether they're recruiting new staff or challenging each other to the toughest Christmas quizzes and treasure hunts imaginable, puzzles are at the heart of what GCHQ does. Now they're opening up their archives of decades' worth of codes, puzzles and challenges for everyone to try.In this book you will find:- Tips on how to get into the mindset of a codebreaker- Puzzles ranging in difficulty from easy to brain-bending- A competition section where we search for Britain's smartest puzzlerGood luck!

    By the mid-1990s the old school grizzled traders had been replaced by a new breed of quantitative analysts, applying mathematics to the "art" of trading and making of it a science. A similar phenomenon is happening in poker. The grizzled "road gamblers" are being replaced by a new generation of players who have challenged many of the assumptions that underlie traditional approaches to the game. One of the most important features of this new approach is a reliance on quantitative analysis and the application of mathematics to the game. This book provides an introduction to quantitative techniques as applied to poker and to a branch of mathematics that is particularly applicable to poker, game theory, in a manner that makes seemingly difficult topics accessible to players without a strong mathematical background.

    Escher -- goes to some of the strangest spots imaginable. It takes us to a place where the purely intellectual enters our daily world: where our outraged senses, overloaded with grocery bills, the price of gas, and what to eat for lunch, are expected to absorb really bizarre ideas. And no better guide to this weird universe exists than the brilliant thinker Clifford A. Pickover, the 21st century's answer to Buckminster Fuller. Come along as Pickover traces the origins of the Mobius strip from the mid-1800s, when the visionary scientist Dr. August Mobius became the first to describe the properties of one-sided surfaces, to the present, where it is an integral part of mathematics, magic, science, art, engineering, literature, and music. It has become a metaphor for change, strangeness, looping, and rejuvenation. Touching on everything from molecules and metal sculptures to postage stamps, architectural structures, and models of our entire universe, The Mobius Strip is lavishly illustrated and gives readers a glimpse into other worlds and new ways of thinking as Pickover reaches across cultures and dimensions.

    Written by the well-known mathematics teacher consultant, this volume's collection of over 200 clearly illustrated mathematical ideas, concepts, puzzles, and games shows where they turn up in the real world. You'll find out what a googol is, visit hotel infinity, read a thorny logic problem that was stumping them back in the 8th century.THE JOY OF MATHEMATICS is designed to be opened at random...it's mini essays are self-contained providing the reader with an enjoyable way to explore and experience mathematics at its best.

    This book will teach you the basic poker mathematics you need to know in order to improve and outplay your opponents, and focuses on foundational poker mathematics - the ones you’ll use day in and day out at the poker table; and probably the ones your opponents neglect.

    Thorp invented card counting, proving the seemingly impossible: that you could beat the dealer at the blackjack table. As a result he launched a gambling renaissance. His remarkable success--and mathematically unassailable method--caused such an uproar that casinos altered the rules of the game to thwart him and the legions he inspired. They barred him from their premises, even put his life in jeopardy. Nonetheless, gambling was forever changed.Thereafter, Thorp shifted his sights to "the biggest casino in the world" Wall Street. Devising and then deploying mathematical formulas to beat the market, Thorp ushered in the era of quantitative finance we live in today. Along the way, the so-called godfather of the quants played bridge with Warren Buffett, crossed swords with a young Rudy Giuliani, detected the Bernie Madoff scheme, and, to beat the game of roulette, invented, with Claude Shannon, the world's first wearable computer.Here, for the first time, Thorp tells the story of what he did, how he did it, his passions and motivations, and the curiosity that has always driven him to disregard conventional wisdom and devise game-changing solutions to seemingly insoluble problems. An intellectual thrill ride, replete with practical wisdom that can guide us all in uncertain financial waters, A Man for All Markets is an instant classic--a book that challenges its readers to think logically about a seemingly irrational world.Praise for A Man for All Markets"In A Man for All Markets, [Thorp] delightfully recounts his progress (if that is the word) from college teacher to gambler to hedge-fund manager. Along the way we learn important lessons about the functioning of markets and the logic of investment."--The Wall Street Journal"[Thorp] gives a biological summation (think Richard Feynman's Surely You're Joking, Mr. Feynman!) of his quest to prove the aphorism 'the house always wins' is flawed. . . . Illuminating for the mathematically inclined, and cautionary for would-be gamblers and day traders"-- Library Journal

    Authors Ruth Parker and Cathy Humphreys introduce  Making Number Talks Matter: Developing Mathematical Practices and Deepening Understanding, Grades 3-10 , taking the readers into classrooms where their Number Talks routines are taught.Parker and Humphreys apply their 15 minute lessons to inspire and initiate math talks. Through vignettes in the book, you'll meet other teachers learning how to listen closely to students and how to prompt them into figuring out solutions to problems. You will learn how to make on-the-spot decisions, continually advancing and deepening the conversation.  Making Number Talks Matter  includes:Sample Problems: Making Number Talks Matter is filled with a range of Number Talks problems, 10-15 minute warm-up routines that lend themselves to mental math and comparison of strategiesNavigating Rough Spots: Learn how to create a safe environment for tricky, problematic, or challenging student discussions that can arise when talking through problems and sharing ideasResponding to Mistakes: Ways to handle misconceptions and mathematical errors that come up during the course of Number Talk conversations Making Number Talks Matter  is filled with teaching tips for honoring student contributions while still correcting errors, and teaching concepts while nudging independent thinking. Through daily practice and open conversation, you can build a solid foundation for the study of mathematics and make Number Talks Matter.

    Although it is great to play games for entertainment, many chess players want to take their game to the next level. But that is not that easy. Just playing might improve your chess proficiency, but it does not improve your problem solving skills, as that requires different thinking processes. To develop those processes, you need strategies developed by chess experts.Here is your Chance!Meet Tim and Anthea.They know what it takes to bring chess to the next level, as they have done that for themselves. How? Through the use of chess tactics. And NOW... it is your turn!Let Tim and Anthea assist you in improving your chess game by using their specially developed Chess Tactics ebook. This is not just another tactics books, as Tim and Anthea have perfected their ebook by learning from the mistakes other chess authors made. The great part of Tactics Time! 1001 Chess Tactics from the Games of Everyday Chess Players is that:it is error FREE and double checked!it contains original tactics 100% new;it consists of tactics from real chess players.Many chess books have cool problems and patterns that really are rare and unrealistic, and not needed. Although these are fun to play, they are not really the best way to improve your chess game. That is why this book is different as Tim and Anthea want you to focus on getting good at playing patterns that happen all the time.But that is not all. Tim and Anthea have chosen to make their ebook very easy to read, leaving out unnecessary information or page fillers. You will see one chess problem per page, with the solution presented to you on the next page. No more need to skip back and forth through the whole book to find that brain wrecking solution.If the following applies to you...You want to improve your game to win;You want to enjoy chess tactics from real games;You are frustrated with other chess tactics books;You have a busy life and are looking for a quick and proven way to improve;You enjoy chess and want to teach chess tactics to others,...then Tactics Time! 1001 Chess Tactics is definitely the right chess book for you.Buy Tactics Time! 1001 Chess Tactics from the Games of Everyday Chess Players today to improve your chess game one tactic at a time.