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Mathematics and Sports

Author: Joseph A. Gallian

Publisher: MAA

Published: 2010

Total Pages: 344

ISBN-13: 0883853493

This is an eclectic compendium of the essays solicited for the 2010 Mathematics Awareness Month Web page on the theme of 'Mathematics and Sports'. In keeping with the goal of promoting mathematics awareness to a broad audience, all of the articles are accessible to university-level mathematics students and many are accessible to the general public. The book is divided into sections by the kind of sports. The section on American football includes an article that evaluates a method for reducing the advantage of the winner to a coin flip in an NFL overtime game; the section on track and field examines the ultimate limit on how fast a human can run 100 metres; the section on baseball includes an article on the likelihood of streaks; the section on golf has an article that describes the double-pendulum model of a golf swing and an article on modelling Tiger Woods' career.

Mathematics and Sports

Author: Leonid Efimovich Sadovskiĭ

Publisher: American Mathematical Soc.

Published: 1993

Total Pages: 152

ISBN-13: 0821895001

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"Some scientists claim that strong tobacco and spirits clear the head and spur creativity. It would be well, however, to try other means: to exercise, jog, swim, or learn to play games like tennis, basketball, badminton, volleyball, and so on...[N]ot only checkers, chess, cards, or billiards are a source of interesting problems. Other sports provide them as well. Mathematical methods are increasingly applied in sports. Just think how many yet-unsolved problems arise when we study the interaction between ball and racket or between ball and court." - from the introduction. This unique book presents simple mathematical models of various aspects of sports, with applications to sports training and competitions. Requiring only a background in precalculus, it would be suitable as a textbook for courses in mathematical modeling and operations research at the high school or college level. Coaches and those who do sports will find it interesting as well. The lively writing style and wide range of topics make this book especially appealing.

Sports Math

Author: Roland B. Minton

Publisher: CRC Press

Published: 2016-11-03

Total Pages: 279

ISBN-13: 1498706290

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Can you really keep your eye on the ball? How is massive data collection changing sports? Sports science courses are growing in popularity. The author’s course at Roanoke College is a mix of physics, physiology, mathematics, and statistics. Many students of both genders find it exciting to think about sports. Sports problems are easy to create and state, even for students who do not live sports 24/7. Sports are part of their culture and knowledge base, and the opportunity to be an expert on some area of sports is invigorating. This should be the primary reason for the growth of mathematics of sports courses: the topic provides intrinsic motivation for students to do their best work. From the Author: "The topics covered in Sports Science and Sports Analytics courses vary widely. To use a golfing analogy, writing a book like this is like hitting a drive at a driving range; there are many directions you can go without going out of bounds. At the driving range, I pick out a small target to focus on, and that is what I have done here. I have chosen a sample of topics I find very interesting. Ideally, users of this book will have enough to choose from to suit whichever version of a sports course is being run." "The book is very appealing to teach from as well as to learn from. Students seem to have a growing interest in ways to apply traditionally different areas to solve problems. This, coupled with an enthusiasm for sports, makes Dr. Minton’s book appealing to me."—Kevin Hutson, Furman University

The Hidden Mathematics of Sport

Author: Rob Eastaway

Publisher: Portico

Published: 2021-06-10

Total Pages: 273

ISBN-13: 1911622749

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This fascinating book explores the mathematics involved in all your favourite sports. The Hidden Mathematics of Sport takes a unique and fascinating look at sport by exploring the mathematics behind the action. You'll discover the best tactics for taking a penalty, the pros and cons of being a consistent golfer, the surprising connection between American football and cricket, the quirky history of league tables, the unusual location of England's earliest 'football' matches and how to avoid marathon tennis matches. Whatever your sporting interests, from boxing to figure skating, from rugby to horse racing, you will find plenty to absorb and amuse you in this insightful book. Word count: 35,000 words

Analytic Methods in Sports

Author: Thomas A. Severini

Publisher: CRC Press

Published: 2020-04-15

Total Pages: 327

ISBN-13: 1000050947

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One of the greatest changes in the sports world in the past 20 years has been the use of mathematical methods to analyze performances, recognize trends and patterns, and predict results. Analytic Methods in Sports: Using Mathematics and Statistics to Understand Data from Baseball, Football, Basketball, and Other Sports, Second Edition provides a concise yet thorough introduction to the analytic and statistical methods that are useful in studying sports. The book gives you all the tools necessary to answer key questions in sports analysis. It explains how to apply the methods to sports data and interpret the results, demonstrating that the analysis of sports data is often different from standard statistical analyses. The book integrates a large number of motivating sports examples throughout and offers guidance on computation and suggestions for further reading in each chapter. Features Covers numerous statistical procedures for analyzing data based on sports results Presents fundamental methods for describing and summarizing data Describes aspects of probability theory and basic statistical concepts that are necessary to understand and deal with the randomness inherent in sports data Explains the statistical reasoning underlying the methods Illustrates the methods using real data drawn from a wide variety of sports Offers many of the datasets on the author’s website, enabling you to replicate the analyses or conduct related analyses New to the Second Edition R code included for all calculations A new chapter discussing several more advanced methods, such as binary response models, random effects, multilevel models, spline methods, and principal components analysis, and more Exercises added to the end of each chapter, to enable use for courses and self-study

Mathematics and Sports

Author: Leonid Efimovich Sadovskiĭ

Publisher: American Mathematical Soc.

Published:

Total Pages: 168

ISBN-13: 9780821897294

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Mathematics in Games, Sports, and Gambling

Author: Ronald J. Gould

Publisher: CRC Press

Published: 2015-10-28

Total Pages: 376

ISBN-13: 1498719538

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Mathematics in Games, Sports, and Gambling: The Games People Play, Second Edition demonstrates how discrete probability, statistics, and elementary discrete mathematics are used in games, sports, and gambling situations. With emphasis on mathematical thinking and problem solving, the text draws on numerous examples, questions, and problems to expla

Optimal Sports Math, Statistics, and Fantasy

Author: Robert L. Kissell

Publisher: Academic Press

Published: 2017-04-06

Total Pages: 352

ISBN-13: 0128052937

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Optimal Sports Math, Statistics, and Fantasy provides the sports community—students, professionals, and casual sports fans—with the essential mathematics and statistics required to objectively analyze sports teams, evaluate player performance, and predict game outcomes. These techniques can also be applied to fantasy sports competitions. Readers will learn how to: Accurately rank sports teams Compute winning probability Calculate expected victory margin Determine the set of factors that are most predictive of team and player performance Optimal Sports Math, Statistics, and Fantasy also illustrates modeling techniques that can be used to decode and demystify the mysterious computer ranking schemes that are often employed by post-season tournament selection committees in college and professional sports. These methods offer readers a verifiable and unbiased approach to evaluate and rank teams, and the proper statistical procedures to test and evaluate the accuracy of different models. Optimal Sports Math, Statistics, and Fantasy delivers a proven best-in-class quantitative modeling framework with numerous applications throughout the sports world. Statistical approaches to predict winning team, probabilities, and victory margin Procedures to evaluate the accuracy of different models Detailed analysis of how mathematics and statistics are used in a variety of different sports Advanced mathematical applications that can be applied to fantasy sports, player evaluation, salary negotiation, team selection, and Hall of Fame determination

Mathletics

Author: Wayne L. Winston

Publisher: Princeton University Press

Published: 2022-02-22

Total Pages: 608

ISBN-13: 0691189293

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How to use math to improve performance and predict outcomes in professional sports Mathletics reveals the mathematical methods top coaches and managers use to evaluate players and improve team performance, and gives math enthusiasts the practical skills they need to enhance their understanding and enjoyment of their favorite sports—and maybe even gain the outside edge to winning bets. This second edition features new data, new players and teams, and new chapters on soccer, e-sports, golf, volleyball, gambling Calcuttas, analysis of camera data, Bayesian inference, ridge regression, and other statistical techniques. After reading Mathletics, you will understand why baseball teams should almost never bunt; why football overtime systems are unfair; why points, rebounds, and assists aren’t enough to determine who’s the NBA’s best player; and more.

Sports & Mathematics

Author: Reza Noubary

Publisher: Xlibris Corporation

Published: 2020-12-07

Total Pages: 129

ISBN-13: 1664143505

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Sports and Mathematics The universal popularity of sports has inspired a goldmine of interesting examples for mathematicians, sport fans, and for the teaching and learning. Sports provide an inexhaustible source of fascinating and challenging problems. Today most sports can be studied from a mathematical perspective to valid quantitative results. Mathematical methods are applied to estimate an athlete's chances of success, identify the best training conditions, and to measure their effectiveness. Applied probability and statistics has been instrumental in analysis of vast amount of sport data available. Probabilistic Monte Carlo method are used for simulation model. In fact, it is generally recognized that the use of sports marks an exciting new direction in teaching and learning mathematics and related subjects. With the present state of education, ideas that connect mathematics to popular activities like sports is much needed. The goal of this book is to find a way to delight sport lovers about mathematics and mathematicians about sports to help them to see their connections. Its hope is to bring a variety of applications within the reach of sport fans with some mathematics background or interests.