This updated edition of Ross's classic bestseller provides an introduction to elementary probability theory and stochastic processes, and shows how probability theory can be applied to the study of phenomena in fields such as engineering, computer science, management science, the physical and social sciences, and operations research. With the addition of several new sections relating to actuaries, this text is highly recommended by the Society of Actuaries.This book now contains a new section on compound random variables that can be used to establish a recursive formula for computing probability mass functions for a variety of common compounding distributions; a new section on hiddden Markov chains, including the forward and backward approaches for computing the joint probability mass function of the signals, as well as the Viterbi algorithm for determining the most likely sequence of states; and a simplified approach for analyzing nonhomogeneous Poisson processes. There are also additional results on queues relating to the conditional distribution of the number found by an M/M/1 arrival who spends a time t in the system; inspection paradox for M/M/1 queues; and M/G/1 queue with server breakdown. Furthermore, the book includes new examples and exercises, along with compulsory material for new Exam 3 of the Society of Actuaries.This book is essential reading for professionals and students in actuarial science, engineering, operations research, and other fields in applied probability.

    Since its publication in 1908, it has been a classic work to which successive generations of budding mathematicians have turned at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of a missionary with the rigor of a purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit.

    This distinguished little book is a brisk introduction to a series of mathematical concepts, a history of their development, and a concise summary of how today's reader may use them.

    This is not true. In fact, chess is accessible and can be played by anyone with a brain, a pair of eyes, and imagination. The ultimate guide for beginnersIf you've never played the game of chess or are still discovering it, this book is for you. It is a basic and comprehensive guide that will introduce you to the game and teach you everything you need to know, from the setup of a chess board to the delivery of checkmate. It is filled with advice for beginners, basic tactics, strategies, and diagrams to help you visualize every step of your progress. The start of a lifelong King's huntThe objective of this book is not to make you a chess master. That is an accomplishment that takes decades of research, regular practice, and an insane amount of talent. The goal here is for you to become a decent chess player. After reading this book, you will be able to play games with anyone, practice regularly, and sharpen your chess muscles until you reach a decent level of play. The more you'll play, the better you'll get. But it all starts with the basics which you will acquire in this book. So don't hesitate. If you've always wanted to learn to play chess, now is the time. Just scroll up and grab your copy now!

    Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, it covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic gets a lavishly illustrated spread with stunning color art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.

    Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations.

    A class can be skilled and motivated to learn without a teacher always having to lead. Engaging learners in this way unpicks intrinsic motivation, the foundation that underpins a productive learning environment and helps to develop independent learning.Based on five years of intensive research through Osiris Education's award-winning Outstanding Teaching Intervention program this book is packed with proven advice and innovative tools that were developed in these successful outstanding lessons. Written in the same humorous, thought-provoking style with which they both teach and train, the authors aim to challenge all who teach, from newly qualified teachers to seasoned professionals, to reflect on their day-to-day practice and set an agenda for sustainable improvement.

     In MATH WITH BAD DRAWINGS, Ben Orlin answers math's three big questions: Why do I need to learn this? When am I ever going to use it? Why is it so hard? The answers come in various forms-cartoons, drawings, jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone.Eschewing the tired old curriculum that begins in the wading pool of addition and subtraction and progresses to the shark infested waters of calculus (AKA the Great Weed Out Course), Orlin instead shows us how to think like a mathematician by teaching us a new game of Tic-Tac-Toe, how to understand an economic crisis by rolling a pair of dice, and the mathematical reason why you should never buy a second lottery ticket. Every example in the book is illustrated with his trademark "bad drawings," which convey both his humor and his message with perfect pitch and clarity. Organized by unconventional but compelling topics such as "Statistics: The Fine Art of Honest Lying," "Design: The Geometry of Stuff That Works," and "Probability: The Mathematics of Maybe," MATH WITH BAD DRAWINGS is a perfect read for fans of illustrated popular science.

    But then the English-major-turned-award-winning-science-writer had a change of heart and decided to revisit the equations and formulas that had haunted her for years. The Calculus Diaries is the fun and fascinating account of her year spent confronting her math phobia head on. With wit and verve, Ouellette shows how she learned to apply calculus to everything from gas mileage to dieting, from the rides at Disneyland to shooting craps in Vegas-proving that even the mathematically challenged can learn the fundamentals of the universal language.

    Offering time-tested problems, conceptual and visual pedagogy, and a state-of-the-art media package, this 11th edition looks to the future of university physics, in terms of both content and approach.

    Do you have a nagging voice in the back of your head, telling you that you aren’t good enough? A study at the University of Ohio showed that the average human suffers from negative self-talk at least 13 times a day.And this self-talk actually has serious knock on effects into your physical and mental wellbeing.However, what may surprise you is…Everybody, including the most successful people on the planet…suffers from this!It’s how you deal with it that matters.Because you can overcome this, no matter how bad this habit in ingrained in you right nowHere’s just a fraction of what you’ll  learn: How to identify the 4 true causes of negative self-talk 6 ways to increase positive thinking 4 simple exercises (which take no more than 3 minutes) to foster good daily habits The surprising physical benefits of positive thinking 2 “silly” ways to make even the most negative situations seem small One subtle change in your words which brings massive positive effects in your actions A fun way to use stories to supercharge your energy levels and fill your mind with gratitude It's not a bad thing that we talk to ourselves a lot -- but the words we choose to say to ourselves can be defeating.By taking the time to fill your mind with more positive phrases.You can push yourself toward success, not away from failure.In this easy to understand book…written in plain English…designed to be read in one sitting…you can quickly identify negative thoughts pattern…and replace them with more positive onesSo if you want to start making more positive changes in your life…scroll up and hit “buy now with 1 click” to get your book instantly

    These college-tested—and often surprising—strategies include:• Don’t do all your reading• Drop classes every term• Become a club president• Care about your grades, Ignore your GPA• Never pull an all-nighter• Take three days to write a paper• Always be working on a “grand project”• Do one thing better than anyone else you knowProving that success has little to do with being a genius workaholic, and everything to do with playing the game, How to Win at College is the must-have guide for making the most of these four important years—and getting an edge on life after graduation.

    How can we catch schools that cheat on standardized tests? How does Netflix know which movies you’ll like? What is causing the rising incidence of autism? As best-selling author Charles Wheelan shows us in Naked Statistics, the right data and a few well-chosen statistical tools can help us answer these questions and more.For those who slept through Stats 101, this book is a lifesaver. Wheelan strips away the arcane and technical details and focuses on the underlying intuition that drives statistical analysis. He clarifies key concepts such as inference, correlation, and regression analysis, reveals how biased or careless parties can manipulate or misrepresent data, and shows us how brilliant and creative researchers are exploiting the valuable data from natural experiments to tackle thorny questions.And in Wheelan’s trademark style, there’s not a dull page in sight. You’ll encounter clever Schlitz Beer marketers leveraging basic probability, an International Sausage Festival illuminating the tenets of the central limit theorem, and a head-scratching choice from the famous game show Let’s Make a Deal—and you’ll come away with insights each time. With the wit, accessibility, and sheer fun that turned Naked Economics into a bestseller, Wheelan defies the odds yet again by bringing another essential, formerly unglamorous discipline to life.

    How To is a guide to the third kind of approach. It's full of highly impractical advice for everything from landing a plane to digging a hole.Bestselling author and cartoonist Randall Munroe explains how to predict the weather by analyzing the pixels of your Facebook photos. He teaches you how to tell if you're a baby boomer or a 90's kid by measuring the radioactivity of your teeth. He offers tips for taking a selfie with a telescope, crossing a river by boiling it, and powering your house by destroying the fabric of space-time. And if you want to get rid of the book once you're done with it, he walks you through your options for proper disposal, including dissolving it in the ocean, converting it to a vapor, using tectonic plates to subduct it into the Earth's mantle, or launching it into the Sun.By exploring the most complicated ways to do simple tasks, Munroe doesn't just make things difficult for himself and his readers. As he did so brilliantly in What If?, Munroe invites us to explore the most absurd reaches of the possible. Full of clever infographics and amusing illustrations, How To is a delightfully mind-bending way to better understand the science and technology underlying the things we do every day.

    From the Difference Engine to magic squares and from the Fibonacci rabbits to Fermat's Last Theorem, this book features the weird world of numbers, imaginary, real or infinite.