"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.
An Introductory Course in the Mathematics of Sports Science and Sports Analytics
Author: Roland B. Minton
Publisher: CRC Press
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 Features Provides an introduction to several topics within the field of sports analytics Contains numerous sports examples showing how things actually work Includes concrete examples of how Moneyball ideas actually work Covers sports illusions (can you really "keep your eye on the ball") in a unique way Discusses many of the concepts, terms, and metrics that are new to sports
Mathematics and Science for Sport and Exercise introduces students to the basic mathematical and scientific principles underpinning sport and exercise science. It is an invaluable course companion for students who have little prior experience of maths or science, and an ideal revision aid for higher level undergraduate students. The book explains the basic scientific principles that help us to understand sport, exercise and human movement, using a wide range of well-illustrated practical examples. Written by three leading sport scientists with many years experience teaching introductory courses, the book guides beginning students through those difficult to grasp areas of basic maths and science, and identifies the common problems and misconceptions that students often experience. It includes coverage of key areas such as: science of physical states – gas, liquid and solid science of biomechanics, motion and energy mathematical formulae, calculus, and differential equations statistics scientific report writing key concepts such as pressure, torque and velocity self-test features and highlighted key points throughout each chapter. Fully referenced, with guides to further reading, this book is an essential companion for all students on foundation or undergraduate level courses in sport and exercise science, kinesiology, and the human movement sciences.
Using Mathematics and Statistics to Understand Data from Baseball, Football, Basketball, and Other Sports
Author: Thomas A. Severini
Publisher: CRC Press
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
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
With an emphasis on mathematical thinking and problem solving, Mathematics in Games, Sports, and Gambling — The Games People Play shows how discrete probability, statistics, and elementary discrete mathematics are used in games, sports, and gambling situations. It draws on numerous examples, questions, and problems to explain the application of mathematical theory to various real-life games. Only requiring high school algebra, the text offers flexibility in choosing what material to cover in a basic mathematics course. It covers permutations in the two-deck matching game so derangements can be counted, introduces graphs to find matches when looking at extensions of the five-card trick, and studies lexicographic orderings and ideas of encoding for card tricks. The text also explores linear equations and weighted equations in the section on the NFL passer rating formula and presents graphing to show how data can be compared or displayed. For each topic, the author includes exercises based on real games and sports data.
"Discover how the rules of math are at work when balls drop into the net and when creating a piece of art. Full-color photographs and related age-appropriate math questions engage young readers and give real world applications to mathematics."--
Hit a home run with all your students! This handy reproducible book offers you and your students a series of engaging activities that use data and information drawn from the world of sports. Through the use of this real-life information, you can interest students and provide a meaningful context for building proficiency in essential math skills. More importantly, this valuable resource provides you with an easy-to-use approach for integrating problem-solving into your math curriculum. Whether addressing algebra or geometry, probability or statistics, this book is full of great ideas for making the connection between the real world and your classroom.
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.
The Mathematics of Dice, Slots, Roulette, Baccarat, Blackjack, Poker, Lottery and Sport Bets
Author: Catalin Barboianu
Publisher: INFAROM Publishing
Over the past two decades, gamblers have begun taking mathematics into account more seriously than ever before. While probability theory is the only rigorous theory modeling the uncertainty, even though in idealized conditions, numerical probabilities are viewed not only as mere mathematical information, but also as a decision-making criterion, especially in gambling. This book presents the mathematics underlying the major games of chance and provides a precise account of the odds associated with all gaming events. It begins by explaining in simple terms the meaning of the concept of probability for the layman and goes on to become an enlightening journey through the mathematics of chance, randomness and risk. It then continues with the basics of discrete probability (definitions, properties, theorems and calculus formulas), combinatorics and counting arguments for those interested in the supporting mathematics. These mathematic sections may be skipped by readers who do not have a minimal background in mathematics; these readers can skip directly to the Guide to Numerical Results to pick the odds and recommendations they need for the desired gaming situation. Doing so is possible due to the organization of that chapter, in which the results are listed at the end of each section, mostly in the form of tables. The chapter titled The Mathematics of Games of Chance presents these games not only as a good application field for probability theory, but also in terms of human actions where probability-based strategies can be tried to achieve favorable results. Through suggestive examples, the reader can see what are the experiments, events and probability fields in games of chance and how probability calculus works there. The main portion of this work is a collection of probability results for each type of game. Each game s section is packed with formulas and tables. Each section also contains a description of the game, a classification of the gaming events and the applicable probability calculations. The primary goal of this work is to allow the reader to quickly find the odds for a specific gaming situation, in order to improve his or her betting/gaming decisions. Every type of gaming event is tabulated in a logical, consistent and comprehensive manner. The complete methodology and complete or partial calculations are shown to teach players how to calculate probability for any situation, for every stage of the game for any game. Here, readers can find the real odds, returned by precise mathematical formulas and not by partial simulations that most software uses. Collections of odds are presented, as well as strategic recommendations based on those odds, where necessary, for each type of gaming situation. The book contains much new and original material that has not been published previously and provides great coverage of probabilities for the following games of chance: Dice, Slots, Roulette, Baccarat, Blackjack, Texas Hold em Poker, Lottery and Sport Bets. Most of games of chance are predisposed to probability-based decisions. This is why the approach is not an exclusively statistical one (like many other titles published on this subject), but analytical: every gaming event is taken as an individual applied probability problem to solve. A special chapter defines the probability-based strategy and mathematically shows why such strategy is theoretically optimal."
Math and sports go together like a ball and glove. Show your sports fans how relevant and integral math is to sports. High impact photos integrate with easy to understand explanations to show that hockey goalies use geometry, baseball strategy depends on statistics, basketball angles are key, and footballs won't go far if you don't calculate the proper distance for a pass. Produced in partnership with Sports Illustrated KIDS.
This book provides essential scientific background information and demonstrates how the theory can be used in the sport and exercise disciplines, it is written for students who need to revise, or who have little prior experience of maths and science
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.
How do the world’s greatest golfers improve their game? Practice, sure, but Roland Minton says mathematics and statistics are also key to their success. Golf by the Numbers analyzes the mathematical strategies behind the sport, giving fans a behind-the-scenes look at how numbers drive the game. Computers, GPS trackers, swing simulators, and high-speed cameras have introduced new and exciting ways of seeing and understanding the complicated and endlessly fascinating game of golf. Players like Phil Mickelson are so good because they review the results of every swing they take. Minton’s comprehensive analysis of statistics taken from the PGA Tour’s ShotLink system walks readers through the mountains of data that pros use to inform and refine their play. The result is an insider’s perspective of how the world’s greatest golfers apply mathematics to the sport. Minton discusses randomness in golf (especially how much luck is involved in putting) as well as aggressive and cautious strategies both on and off the greens, and he explains, by the numbers, just how Tiger Woods was so dominant from 2004 to 2009. Here is a book that tells some truly engaging stories of modern golf, featuring famous players and memorable tournaments, all through the lens of elementary probability theory. Minton’s informal style and clear and direct explanations make even the most detailed discussions accessible to all curious-minded golfers. His mathematical morsels are not only enjoyable to readâ€”they may even help you improve your game.