Mathematics And Sports

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Mathematics and Sports

Author : Joseph A. Gallian
Publisher : MAA
Page : 344 pages
File Size : 40,9 Mb
Release : 2010
Category : Mathematics
ISBN : 9780883853498

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Mathematics and Sports by Joseph A. Gallian Pdf

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,Alekseĭ Leonidovich Sadovskiĭ
Publisher : American Mathematical Soc.
Page : 152 pages
File Size : 53,8 Mb
Release : 1993
Category : Sports & Recreation
ISBN : 9780821895009

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Mathematics and Sports by Leonid Efimovich Sadovskiĭ,Alekseĭ Leonidovich Sadovskiĭ Pdf

"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
Page : 279 pages
File Size : 52,9 Mb
Release : 2016-11-03
Category : Mathematics
ISBN : 9781498706292

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Sports Math by Roland B. Minton Pdf

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,John Haigh
Publisher : Portico
Page : 273 pages
File Size : 53,5 Mb
Release : 2021-06-10
Category : Mathematics
ISBN : 9781911622741

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The Hidden Mathematics of Sport by Rob Eastaway,John Haigh Pdf

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

Mathematics and Sports

Author : Leonid Efimovich Sadovskiĭ
Publisher : American Mathematical Soc.
Page : 168 pages
File Size : 46,8 Mb
Release : 2024-06-10
Category : Sports & Recreation
ISBN : 0821897292

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Mathematics and Sports by Leonid Efimovich Sadovskiĭ Pdf

"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.

The Mathematics of Projectiles in Sport

Author : Neville de Mestre
Publisher : Cambridge University Press
Page : 192 pages
File Size : 55,9 Mb
Release : 1990-04-19
Category : Mathematics
ISBN : 0521398576

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The Mathematics of Projectiles in Sport by Neville de Mestre Pdf

Of considerable interest to applied mathematicians as well as sporting enthusiasts is the mathematical theory underlying the many sporting activities documented here, ranging from the high jump to frisbees and soccer to table tennis.

Optimal Sports Math, Statistics, and Fantasy

Author : Robert L. Kissell,James Poserina
Publisher : Academic Press
Page : 352 pages
File Size : 42,5 Mb
Release : 2017-04-06
Category : Mathematics
ISBN : 9780128052938

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Optimal Sports Math, Statistics, and Fantasy by Robert L. Kissell,James Poserina Pdf

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

Analytic Methods in Sports

Author : Thomas A. Severini
Publisher : CRC Press
Page : 327 pages
File Size : 52,7 Mb
Release : 2020-04-15
Category : Mathematics
ISBN : 9781000050943

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Analytic Methods in Sports by Thomas A. Severini Pdf

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 in Games, Sports, and Gambling

Author : Ronald J. Gould
Publisher : CRC Press
Page : 376 pages
File Size : 47,5 Mb
Release : 2015-10-28
Category : Mathematics
ISBN : 9781498719537

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Mathematics in Games, Sports, and Gambling by Ronald J. Gould Pdf

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

Mathletics

Author : Wayne L. Winston
Publisher : Princeton University Press
Page : 391 pages
File Size : 47,5 Mb
Release : 2012-03-18
Category : Mathematics
ISBN : 9781400842070

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Mathletics by Wayne L. Winston Pdf

How math can be used to improve performance and predict outcomes in professional sports Mathletics is a remarkably entertaining book that shows readers how to use simple mathematics to analyze a range of statistical and probability-related questions in professional baseball, basketball, and football, and in sports gambling. How does professional baseball evaluate hitters? Is a singles hitter like Wade Boggs more valuable than a power hitter like David Ortiz? Should NFL teams pass or run more often on first downs? Could professional basketball have used statistics to expose the crooked referee Tim Donaghy? Does money buy performance in professional sports? In Mathletics, Wayne Winston describes the mathematical methods that top coaches and managers use to evaluate players and improve team performance, and gives math enthusiasts the practical tools they need to enhance their understanding and enjoyment of their favorite sports—and maybe even gain the outside edge to winning bets. Mathletics blends fun math problems with sports stories of actual games, teams, and players, along with personal anecdotes from Winston's work as a sports consultant. Winston uses easy-to-read tables and illustrations to illuminate the techniques and ideas he presents, and all the necessary math concepts—such as arithmetic, basic statistics and probability, and Monte Carlo simulations—are fully explained in the examples. 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 much, much more. In a new epilogue, Winston discusses the stats and numerical analysis behind some recent sporting events, such as how the Dallas Mavericks used analytics to become the 2011 NBA champions.

Mathletics

Author : Wayne L. Winston,Scott Nestler,Konstantinos Pelechrinis
Publisher : Princeton University Press
Page : 608 pages
File Size : 53,6 Mb
Release : 2022-02-22
Category : Computers
ISBN : 9780691189291

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Mathletics by Wayne L. Winston,Scott Nestler,Konstantinos Pelechrinis Pdf

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
Page : 129 pages
File Size : 46,8 Mb
Release : 2020-12-07
Category : Mathematics
ISBN : 9781664143500

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Sports & Mathematics by Reza Noubary Pdf

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.

Lessons for Teaching Concepts in Mathematics and Statistics Using Sports

Author : Heather Ervin,Reza Noubary
Publisher : Unknown
Page : 242 pages
File Size : 49,8 Mb
Release : 2017-12-31
Category : Mathematics
ISBN : 1516520696

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Lessons for Teaching Concepts in Mathematics and Statistics Using Sports by Heather Ervin,Reza Noubary Pdf

This two-volume anthology uses engaging examples from the world of sports to introduce students to critical concepts in mathematics and statistics. Volume I is organized into eleven sections, which use data from golf, long jump, soccer, hockey, NASCAR, and wrestling to help illustrate statistical reasoning and effective data analysis. Topics discussed include population and samples, graphical methods, measures of central tendency, and measures of variability. The text also covers relative standing, detecting outliers, basic probability, and normal distribution and rules, including Chebyshev's Rule and the Empirical Rule. Each lesson includes Common Core Standards, a comprehensive teaching guide, printable practice problems, and solutions. Lessons for Teaching Concepts in Mathematics and Statistics Using Sports, Volume 1 is well-suited for undergraduate courses in mathematics, statistics, and education. The book may be used independently or as a companion text. It can also be used for middle school and high school statistics courses. Heather Ervin earned her B.S. in mathematics from Bloomsburg University, her M.S. in statistics from Lehigh University, and her Ph.D. in mathematics education from Pennsylvania State University. She is an assistant professor of mathematics at Bloomsburg University. Her research interests include preservice elementary and middle school teachers' understanding and knowledge of fraction models, mathematics preparation of high school students for collegiate mathematics, and teaching statistics through sports. Reza Noubary earned his B.Sc. and M.Sc. degrees in mathematics from Tehran University, and his M.Sc. and Ph.D. in statistics from Manchester University. He is a professor of mathematics at Bloomsburg University. His research interests include time series analysis, geostatistics, reliability, risk analysis, and applications of mathematics in sports.

Introductory Mathematics and Statistics through Sports

Author : Tricia Muldoon Brown,Eric B. Kahn
Publisher : Oxford University Press
Page : 144 pages
File Size : 46,7 Mb
Release : 2019-06-11
Category : Mathematics
ISBN : 9780192572660

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Introductory Mathematics and Statistics through Sports by Tricia Muldoon Brown,Eric B. Kahn Pdf

Sport is a wildly popular and accessible pastime that most students find interest in. The link between mathematics and sports - particularly between statistics and sports - is well known, but is rarely used as a method for sparking a real interest and better understanding of mathematics at university level. Introductory Mathematics and Statistics through Sports develops this connection, and uses sport as a tool to help students get to grips with mathematics and statistics. It contains valuable resources, such as activities and writing projects for use in quantitative reasoning or introductory statistics classrooms. These inquiry-based activities and open-ended writing projects are all set in the authentic framework of a sporting environment and are designed to promote critical thinking and mathematical application skills that students can apply outside of the classroom. All activities and projects have been classroom-tested and are ready to be implemented as they are, or can be easily personalized by instructors with a helpful run-down of successes and misunderstandings for each project. Introductory Mathematics and Statistics through Sports places great emphasis on the communication, application, and internalization of mathematics for students whose primary interests are not necessarily in STEM fields.

X Games In Mathematics: Sports Training That Counts!

Author : Timothy P Chartier
Publisher : World Scientific
Page : 253 pages
File Size : 46,8 Mb
Release : 2020-12-02
Category : Mathematics
ISBN : 9789811223853

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X Games In Mathematics: Sports Training That Counts! by Timothy P Chartier Pdf

Sports analytics has gathered tremendous momentum as one of the most dynamic fields. Diving deep into the numbers of sports can be game changing or simply a fun exercise for fans. How do you get in the game with numbers? What questions can be explored? What actionable insights can be gleaned?Do you like sports? This book will detail ways to analyze athletics to gain insight that can otherwise be obscured. Like math? You'll find many mathematical topics not involving sports. You'll also see how sports analytics can train you broadly in mathematics.From coaching at the highest levels to national media broadcasts, analytics are becoming increasingly indispensable. Dive into the numbers behind soccer to basketball to baseball to boxing to swimming, dive into the numbers. Learn how to get in the game with sports and mathematics.