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.

    At a time when 7 million people in the U.S. alone identify as belonging to more than one race, interest in issues of multiracial identity is rapidly growing. Overflowing with uplifting elements—including charming images, handwritten statements from the children, first-person text from their parents, a foreword by Dr. Maya Soetoro-Ng (President Obama's sister), and an afterword by international star Cher (who is part Cherokee)—this volume is an inspiring vision of the future.

    In these cautionary tales of greedy gamblers, reckless businessmen, and ruthless con men, Sherlock Holmes uses his deep understanding of probability, statistics, decision theory, and game theory to solve crimes and protect the innocent. But it's not just the characters in these well-crafted stories that are deceived by statistics or fall prey to gambling fallacies. We all suffer from the results of poor decisions. In this illuminating collection, Bruce entertains while teaching us to avoid similar blunders. From "The Execution of Andrews" to "The Case of the Gambling Nobleman," there has never been a more exciting way to learn when to take a calculated risk-and how to spot a scam.

    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.

    With his inimitable ability to translate complex foreign policy and economic issues, Friedman explains how the flattening of the world happened at the dawn of the 21st century; what it means to countries, companies, communities and individuals; and how governments and societies can, and must, adapt.

    At the age of five, Jazz transitioned to life as a girl, with the support of her parents. A year later, her parents allowed her to share her incredible journey in her first Barbara Walters interview, aired at a time when the public was much less knowledgeable or accepting of the transgender community. This groundbreaking interview was followed over the years by other high-profile interviews, a documentary, the launch of her YouTube channel, a picture book, and her own reality TV series—I Am Jazz—making her one of the most recognizable activists for transgender teens, children, and adults. In her remarkable memoir, Jazz reflects on these very public experiences and how they have helped shape the mainstream attitude toward the transgender community. But it hasn't all been easy. Jazz has faced many challenges, bullying, discrimination, and rejection, yet she perseveres as she educates others about her life as a transgender teen. Through it all, her family has been beside her on this journey, standing together against those who don't understand the true meaning of tolerance and unconditional love. Now Jazz must learn to navigate the physical, social, and emotional upheavals of adolescence—particularly high school—complicated by the unique challenges of being a transgender teen. Making the journey from girl to woman is never easy—especially when you began your life in a boy's body.

    In ancient Greece, young Pythagoras discovers a special number pattern (the Pythagorean theorem) and uses it to solve problems involving right triangles.Book Details: Format: Paperback Publication Date: 4/1/2004 Pages: 32 Reading Level: Age 8 and Up

    Along the way, Bonner and Wiggin cast a wide angle lens that looks back in history and ahead to the coming century: showing how dramatic changes in the economic power of the United States will inevitably impact every American.Reveals the financial realities the United States currently faces and what the ultimate outcome may be Weaves together the worlds of politics, economics, and personal finance in a way that underscores the severity of the situation Addresses the events leading up to the implosion of the U.S. financial system Looks ahead to help you avoid the pitfalls presented by a weaker United States Other titles by Bonner: Empire of Debt, Financial Reckoning Day, and Mobs, Messiahs, and MarketsOther titles by Wiggin: I.O.U.S.A., Demise of the Dollar, and Financial Reckoning DayThe United States is heading down a difficult path. The New Empire of Debt clearly shows how this has happened and discusses what you can do to overcome the financial challenges that will arise as the situation deteriorates.

    Bullying, once thought of as the province of queen bees and goons, has taken on new, complex, and insidious forms, as parents and educators know all too well. No writer is better poised to explore this territory than Emily Bazelon, who has established herself as a leading voice on the social and legal aspects of teenage drama. In Sticks and Stones, she brings readers on a deeply researched, clear-eyed journey into the ever-shifting landscape of teenage meanness and its sometimes devastating consequences. The result is an indispensable book that takes us from school cafeterias to courtrooms to the offices of Facebook, the website where so much teenage life, good and bad, now unfolds. Along the way, Bazelon defines what bullying is and, just as important, what it is not. She explores when intervention is essential and when kids should be given the freedom to fend for themselves. She also dispels persistent myths: that girls bully more than boys, that online and in-person bullying are entirely distinct, that bullying is a common cause of suicide, and that harsh criminal penalties are an effective deterrent. Above all, she believes that to deal with the problem, we must first understand it. Blending keen journalistic and narrative skills, Bazelon explores different facets of bullying through the stories of three young people who found themselves caught in the thick of it. Thirteen-year-old Monique endured months of harassment and exclusion before her mother finally pulled her out of school. Jacob was threatened and physically attacked over his sexuality in eighth grade—and then sued to protect himself and change the culture of his school. Flannery was one of six teens who faced criminal charges after a fellow student’s suicide was blamed on bullying and made international headlines. With grace and authority, Bazelon chronicles how these kids’ predicaments escalated, to no one’s benefit, into community-wide wars. Cutting through the noise, misinformation, and sensationalism, she takes us into schools that have succeeded in reducing bullying and examines their successful strategies. The result is a groundbreaking book that will help parents, educators, and teens themselves better understand what kids are going through today and what can be done to help them through it.Praise for Sticks and Stones “Intelligent, rigorous . . . [Emily Bazelon] is a compassionate champion for justice in the domain of childhood’s essential unfairness.”—Andrew Solomon, The New York Times Book Review   “[Bazelon] does not stint on the psychological literature, but the result never feels dense with studies; it’s immersive storytelling with a sturdy base of science underneath, and draws its authority and power from both.”—New York   “A humane and closely reported exploration of the way that hurtful power relationships play out in the contemporary public-school setting . . . As a parent herself, [Bazelon] brings clear, kind analysis to complex and upsetting circumstances.”—The Wall Street Journal   “Bullying isn’t new. But our attempts to respond to it are, as Bazelon explains in her richly detailed, thought-provoking book. . . . Comprehensive in her reporting and balanced in her conclusions, Bazelon extracts from these stories useful lessons for young people, parents and principals alike.” —The Washington Post

     Celebrated writer and contrarian Bill James has voraciously read true crime throughout his life and has been interested in writing a book on the topic for decades. Now, with Popular Crime, James takes readers on an epic journey from Lizzie Borden to the Lindbergh baby, from the Black Dahlia to O. J. Simpson, explaining how crimes have been committed, investigated, prosecuted and written about, and how that has profoundly influenced our culture over the last few centuries— even if we haven’t always taken notice. Exploring such phenomena as serial murder, the fluctuation of crime rates, the value of evidence, radicalism and crime, prison reform and the hidden ways in which crimes have shaped, or reflected, our society, James chronicles murder and misdeeds from the 1600s to the present day. James pays particular attention to crimes that were sensations during their time but have faded into obscurity, as well as still-famous cases, some that have never been solved, including the Lindbergh kidnapping, the Boston Strangler and JonBenet Ramsey. Satisfyingly sprawling and tremendously entertaining, Popular Crime is a professed amateur’s powerful examination of the incredible impact crime stories have on our society, culture and history.

    Douglas Riley’s ear-to-the-ground insights will give much-needed help to desperate parents who have one overriding question: Why does my child act like this? This compassionate yet no-nonsense therapist explains that explosive behavior is the mere tip of the iceberg. Instead of using a one-size-fits-all strategy, Dr. Riley identifies the eleven most common causes of explosions and accordingly tailors his treatment strategies to address the underlying cause of the behavior. What Your Explosive Child Is Trying to Tell You is a lifeline for parents who are at their wits’ end. DR. DOUGLAS RILEY is a clinical psychologist whose practice focuses on children and adolescents who are explosive, oppositional, depressed, or have difficulties with concentration and learning. He is the author of The Defiant Child: A Parent’s Guide to Oppositional Defiant Disorder as well as The Depressed Child: A Parent’s Guide for Rescuing Kids.

    (The also-rans that year included Tom Wolfe, Verlyn Klinkenborg, and Oliver Sacks.) Hayes's work in this genre has also appeared in such anthologies as The Best American Magazine Writing, The Best American Science and Nature Writing, and The Norton Reader. Here he offers us a selection of his most memorable and accessible pieces--including "Clock of Ages"--embellishing them with an overall, scene-setting preface, reconfigured illustrations, and a refreshingly self-critical "Afterthoughts" section appended to each essay.

    Brian Greene, one of the world's leading string theorists, peels away the layers of mystery surrounding string theory to reveal a universe that consists of eleven dimensions, where the fabric of space tears and repairs itself, and all matter—from the smallest quarks to the most gargantuan supernovas—is generated by the vibrations of microscopically tiny loops of energy.Today physicists and mathematicians throughout the world are feverishly working on one of the most ambitious theories ever proposed: superstring theory. String theory, as it is often called, is the key to the Unified Field Theory that eluded Einstein for more than thirty years. Finally, the century-old antagonism between the large and the small-General Relativity and Quantum Theory-is resolved. String theory proclaims that all of the wondrous happenings in the universe, from the frantic dancing of subatomic quarks to the majestic swirling of heavenly galaxies, are reflections of one grand physical principle and manifestations of one single entity: microscopically tiny vibrating loops of energy, a billionth of a billionth the size of an atom. In this brilliantly articulated and refreshingly clear book, Greene relates the scientific story and the human struggle behind twentieth-century physics' search for a theory of everything.Through the masterful use of metaphor and analogy, The Elegant Universe makes some of the most sophisticated concepts ever contemplated viscerally accessible and thoroughly entertaining, bringing us closer than ever to understanding how the universe works.

    . . but he only actually made it halfway. His terrible treatment of everyone he met cut his life journey short. Queen Isabella of Spain is remembered for financing Columbus’s expeditions—and for creating the Spanish Inquisition. J. Bruce Ismay commissioned the unsinkable marvel of the sea, the Titanic—and then jumped the line of women and children to escape death on a lifeboat. Readers will be fascinated well past the final curtain and will empathize with the flawed humanity of these achievers.Famous successful “failures” include:Marco Polo • Queen Isabella of Spain • King Montezuma II • Anne Boleyn • Ferdinand Magellan • Isaac Newton • Benedict Arnold • George Armstrong Custer • Vincent Van Gogh • Susan B. Anthony • Thomas Alva Edison • J. Bruce Ismay • Amelia M. Earhart • Joseph Jefferson Jackson (“Shoeless Joe”)

    After all, her mother and her older sisters had gotten pregnant as teenagers; from an outsider’s perspective, it was practically a family tradition. Gaby had ambitions that didn’t include teen motherhood. But she wondered: how would she be treated if she “lived down” to others' expectations? Would everyone ignore the years she put into being a good student and see her as just another pregnant teen statistic with no future? These questions sparked Gaby’s school project: faking her own pregnancy as a high school senior to see how her family, friends, and community would react. What she learned changed her life forever, and made international headlines in the process.In The Pregnancy Project, Gaby details how she was able to fake her own pregnancy—hiding the truth from even her siblings and boyfriend’s parents—and reveals all that she learned from the experience. But more than that, Gaby’s story is about fighting stereotypes, and how one girl found the strength to come out from the shadow of low expectations to forge a bright future for herself.