The Coin Toss


Book Description

The coin toss is really just a metaphor for a random event that has only two possible outcomes. The actual tossing of a real coin is just one way to realize such an event. There are many examples of questions that are equivalent to a coin toss. For example: Will the stock market close up or down tomorrow? Will a die roll come up with an even or odd number? Will we make contact with extraterrestrials within the next ten years? Will a car drive by in the next minute? Will tomorrow be sunny or cloudy? Will my medical test result be negative or positive? Will I enjoy this movie? Will the next joke be funny? Will the Earth's average temperature go up next year?Because a coin toss is equivalent to such a wide variety of questions, the results in this book are widely applicable.Because the coin toss is the simplest random event you can imagine, many questions about coin tossing can be asked and answered in great depth. The simplicity of the coin toss also opens the road to more advanced probability theories dealing with events with an infinite number of possible outcomes.This book is very mathematical. Some knowledge of calculus, discrete math, and generating functions is helpful to get the most out of it. A review of discrete math is provided in the index,




Why Flip a Coin?


Book Description




The Prime Number Conspiracy


Book Description

The Pulitzer Prize–winning magazine’s stories of mathematical explorations show that inspiration strikes haphazardly, revealing surprising solutions and exciting discoveries—with a foreword by James Gleick These stories from Quanta Magazine map the routes of mathematical exploration, showing readers how cutting-edge research is done, while illuminating the productive tension between conjecture and proof, theory and intuition. The stories show that, as James Gleick puts it in the foreword, “inspiration strikes willy-nilly.” One researcher thinks of quantum chaotic systems at a bus stop; another suddenly realizes a path to proving a theorem of number theory while in a friend's backyard; a statistician has a “bathroom sink epiphany” and discovers the key to solving the Gaussian correlation inequality. Readers of The Prime Number Conspiracy, says Quanta editor-in-chief Thomas Lin, are headed on “breathtaking intellectual journeys to the bleeding edge of discovery strapped to the narrative rocket of humanity's never-ending pursuit of knowledge.” Winner of the 2022 Pulitzer Prize for Explanatory Reporting, Quanta is the only popular publication that offers in-depth coverage of the latest breakthroughs in understanding our mathematical universe. It communicates mathematics by taking it seriously, wrestling with difficult concepts and clearly explaining them in a way that speaks to our innate curiosity about our world and ourselves. Readers of this volume will learn that prime numbers have decided preferences about the final digits of the primes that immediately follow them (the “conspiracy” of the title); consider whether math is the universal language of nature (allowing for “a unified theory of randomness”); discover surprising solutions (including a pentagon tiling proof that solves a century-old math problem); ponder the limits of computation; measure infinity; and explore the eternal question “Is mathematics good for you?” Contributors Ariel Bleicher, Robbert Dijkgraaf, Kevin Hartnett, Erica Klarreich, Thomas Lin, John Pavlus, Siobhan Roberts, Natalie Wolchover Copublished with Quanta Magazine




The FLIP of a COIN


Book Description

The life of Tommy Allsup a great multi-genre guitarist who played the first lead guitar on a Buddy Holly recording, and as a Cricket on February 3 1959 in Clear Lake, Iowa, Tommy finally flipped a coin with Richie Valens, for Valens wanted to take Tommy's place on the fateful plane that crashed and killed Buddy Holly and others. Tommy lost, but won. He became a major record producer, a session man on 6500 recording sessions, a Grammar Music Award winner, the organizer of The Original Texas Playboys and many other outstanding activities and accomplishments in western swing, rock and roll and popular music. He is an Oklahoman of Cherokee Indian descent who has lived in Texas, Los Angeles and Nashville.




Probability And Random Number: A First Guide To Randomness


Book Description

This is a book of elementary probability theory that includes a chapter on algorithmic randomness. It rigorously presents definitions and theorems in computation theory, and explains the meanings of the theorems by comparing them with mechanisms of the computer, which is very effective in the current computer age.Random number topics have not been treated by any books on probability theory, only some books on computation theory. However, the notion of random number is necessary for understanding the essential relation between probability and randomness. The field of probability has changed very much, thus this book will make and leave a big impact even to expert probabilists.Readers from applied sciences will benefit from this book because it presents a very proper foundation of the Monte Carlo method with practical solutions, keeping the technical level no higher than 1st year university calculus.




From Coin Toss to Championship


Book Description

Title: From Coin Toss to Champions FROM COIN TOSS TO CHAMPIONS 1971: The Year of the Milwaukee Bucks is the definitive, game-by-game history of the NBA champion Milwaukee Bucks by renowned Wisconsin sports historian Rick Schabowski. This is the in-depth story of how the new Bucks franchise won the rights to negotiate with Lew Alcindor (later Kareem Abdul-Jabbar) by the single flip of a coin, traded for the great Oscar Robertson, and became NBA champs. Pairing The Big and the ascending Lew on a dynamic all-around team, the Bucks fought back fierce challenges all around the NBA, posted a 66-16 regular season record, and nearly coasted to hoisting the NBA championship trophy. The meticulously researched Coin Toss takes the reader through the greatest season so far in Milwaukee professional basketball history with detailed accounts of every game, insights into player, coach and competitor thinking, vital stats, and historic news accounts. In Coin Toss, Schabowski has served up a full menu for traditional Bucks fans who want to relive the championship year, for young fans who want to know about the tradition and excitement that the current Bucks build on, and for true basketball buffs who want to set the record straight. As the new Milwaukee Bucks make believers of everyone, From Coin Toss to Champions is destined to become a classic and a vital part of Milwaukee's, Bucks', and NBA history.




Teaching Statistics


Book Description

Students in the sciences, economics, psychology, social sciences, and medicine take introductory statistics. Statistics is increasingly offered at the high school level as well. However, statistics can be notoriously difficult to teach as it is seen by many students as difficult and boring, if not irrelevant to their subject of choice. To help dispel these misconceptions, Gelman and Nolan have put together this fascinating and thought-provoking book. Based on years of teaching experience the book provides a wealth of demonstrations, examples and projects that involve active student participation. Part I of the book presents a large selection of activities for introductory statistics courses and combines chapters such as, 'First week of class', with exercises to break the ice and get students talking; then 'Descriptive statistics' , collecting and displaying data; then follows the traditional topics - linear regression, data collection, probability and inference. Part II gives tips on what does and what doesn't work in class: how to set up effective demonstrations and examples, how to encourage students to participate in class and work effectively in group projects. A sample course plan is provided. Part III presents material for more advanced courses on topics such as decision theory, Bayesian statistics and sampling.




Friday Night Lights


Book Description

Return once again to the enduring account of the Permian Panthers of Odessa -- the winningest high school football team in Texas history.




A Coin Toss Determined My Future


Book Description

John A. Nichols, retired professor of medieval history, earned his B.A. degree at Geneva College, M.A. at Fairleigh Dickinson University, and Ph.D. at Kent State University. After teaching at high schools for four years, he accepted a teaching position at Slippery Rock University where he stayed for 40 years. On retirement, Dr. Nichols accepted offers to share his historical expertize as a destination and/or special interest speaker on cruise ships. His autobiography traces a life from a rural township outside Pittsburgh, PA to that of a noted medieval historian who was at the forefront of writing and teaching about women?s history. His courses and publications laid the foundation to advance our understanding of the contributions of all women but especially medieval religious women.




Grooks


Book Description