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An Introduction to Statistical Modeling of Extreme Values by Stuart Coles
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The Sabermetric Revolution: Assessing the Growth of Analytics in Baseball
Benjamin Baumer - 2013
Rocketed to popularity by the 2003 bestseller Moneyball and the film of the same name, the use of sabermetrics to analyze player performance has appeared to be a David to the Goliath of systemically advantaged richer teams that could be toppled only by creative statistical analysis. The story has been so compelling that, over the past decade, team after team has integrated statistical analysis into its front office. But how accurately can crunching numbers quantify a player's ability? Do sabermetrics truly level the playing field for financially disadvantaged teams? How much of the baseball analytic trend is fad and how much fact?The Sabermetric Revolution sets the record straight on the role of analytics in baseball. Former Mets sabermetrician Benjamin Baumer and leading sports economist Andrew Zimbalist correct common misinterpretations and develop new methods to assess the effectiveness of sabermetrics on team performance. Tracing the growth of front office dependence on sabermetrics and the breadth of its use today, they explore how Major League Baseball and the field of sports analytics have changed since the 2002 season. Their conclusion is optimistic, but the authors also caution that sabermetric insights will be more difficult to come by in the future. The Sabermetric Revolution offers more than a fascinating case study of the use of statistics by general managers and front office executives: for fans and fantasy leagues, this book will provide an accessible primer on the real math behind moneyball as well as new insight into the changing business of baseball.
Weapons of Math Destruction: How Big Data Increases Inequality and Threatens Democracy
Cathy O'Neil - 2016
Increasingly, the decisions that affect our lives--where we go to school, whether we can get a job or a loan, how much we pay for health insurance--are being made not by humans, but by machines. In theory, this should lead to greater fairness: Everyone is judged according to the same rules.But as mathematician and data scientist Cathy O'Neil reveals, the mathematical models being used today are unregulated and uncontestable, even when they're wrong. Most troubling, they reinforce discrimination--propping up the lucky, punishing the downtrodden, and undermining our democracy in the process.
How to Solve It: A New Aspect of Mathematical Method
George Pólya - 1944
Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.
Basketball on Paper: Rules and Tools for Performance Analysis
Dean Oliver - 2003
Basketball on Paper doesn’t diagram plays or explain how players get in shape, but instead demonstrates how to interpret player and team performance. Dean Oliver highlights general strategies for teams when they’re winning or losing and what aspects should be the focus in either situation. He describes and quantifies the jobs of team leaders and role players, then discusses the interactions between players and how to achieve the best fit. Oliver conceptualizes the meaning of teamwork and how to quantify the value of different types of players working together. He examines historically successful NBA teams and identifies what made them so successful: individual talent, a system of putting players together, or good coaching. Oliver then uses these statistical tools and case studies to evaluate the best players in history, such as Magic Johnson, Wilt Chamberlain, Bill Russell, and Charles Barkley and how they contributed to their teams’ success. He does the same for some of the NBA’s "oddball" players-Manute Bol, Muggsy Bogues, and Dennis Rodman and for the WNBA’s top players. Basketball on Paper is unique in its incorporation of business and analytical concepts within the context of basketball to measure the value of players in a cooperative setting. Whether you’re looking for strategies or new ideas to throw out while watching the ballgame at a sports bar, Dean Oliver’sBasketball on Paper will give you amazing new insights into teamwork, coaching, and success.
Calculus with Analytic Geometry [with Graphing Calculator Supplement]
Howard Anton
Change is the Only Constant: The Wisdom of Calculus in a Madcap World
Ben Orlin - 2019
By spinning 28 mathematical tales, Orlin shows us that calculus is simply another language to express the very things we humans grapple with every day -- love, risk, time, and most importantly, change. Divided into two parts, "Moments" and "Eternities," and drawing on everyone from Sherlock Holmes to Mark Twain to David Foster Wallace, Change is the Only Constant unearths connections between calculus, art, literature, and a beloved dog named Elvis. This is not just math for math's sake; it's math for the sake of becoming a wiser and more thoughtful human.
Geek Logik: 50 Foolproof Equations for Everyday Life
Garth Sundem - 2006
Call it the algebra oracle: By plugging in the right variables, GEEK LOGIK answers life’s most persistent questions. It covers Dating and Romance, Career and Finance, and everyday decisions like Should I get a tattoo? Can I still wear tight jeans? Is it time to see a therapist? How many beers should I have at the company picnic? How does it work? Take a simple issue that comes up once or twice a week: Should I call in sick? Fill in the variables honestly, such as D for doctor’s note (enter 1 for “no,†10 for “yes,†and 5 for “yes, but it’s a forgeryâ€), R for importance of job (1-10, with 10 being “personally responsible for Earth’s orbit around Sunâ€), Fj for how much fun you have at work (1-10, with 10 being “personal trainer for underwear modelsâ€), N for how much you need the money (1-10, with 10 being “I owe the mobâ€), then do the math, and voilà —if the product, Hooky, is greater than 1, enjoy your very own Ferris Bueller’s Day Off. Includes a pocket calculator so that prospective geeks can immediately solve the equation on the back cover: Should I buy this book?
Discrete Mathematical Structures with Applications to Computer Science
Jean-Paul Tremblay - 1975
All the Mathematics You Missed
Thomas A. Garrity - 2001
This book will offer students a broad outline of essential mathematics and will help to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential and analytical geometry, real analysis, point-set topology, probability, complex analysis, set theory, algorithms, and more. An annotated bibliography offers a guide to further reading and to more rigorous foundations.
Mathematical Elements for Computer Graphics
David F. Rogers - 1976
It presents in a unified manner an introduction to the mathematical theory underlying computer graphic applications. It covers topics of keen interest to students in engineering and computer science: transformations, projections, 2-D and 3-D curve definition schemes, and surface definitions. It also includes techniques, such as B-splines, which are incorporated as part of the software in advanced engineering workstations. A basic knowledge of vector and matrix algebra and calculus is required.
In Praise of Mathematics
Alain Badiou - 2015
Far from the thankless, pointless exercises they are often thought to be, mathematics and logic are indispensable guides to ridding ourselves of dominant opinions and making possible an access to truths, or to a human experience of the utmost value. That is why mathematics may well be the shortest path to the true life, which, when it exists, is characterized by an incomparable happiness.
Business Statistics: A First Course
David M. Levine - 1999
Focused more on concepts than on statistical methods, it shows readers how to properly use statistics to analyze data and demonstrates how computer software is an integral part of this analysis. "Using Statistics" scenarios discuss how statistics is used in a real business setting. Includes contemporary business applications, many with real data sets, and an integrated case that runs throughout chapters. "PHSTAT," a custom designed Excel add-in, is packaged with each book. Introduction and Data Collection. Presenting Data in Tables and Charts. Summarizing and Describing Numerical Data. Basic Probability and Probability Distributions. Sampling Distributions and Confidence Interval Estimation. Fundamentals of Hypothesis Testing: One-Sample Tests. Two-Sample and C-Sample Tests with Numerical Data. Hypothesis Testing with Categorical Data. Statistical Applications in Quality and Productivity Management. The Simple Linear Regression Model and Correlations. Introduction to Multiple Regression. Time Series Analysis. An accessible introduction or refresher on statistics for those in accounting, marketing, management, economics, and finance.
The Fractal Geometry of Nature
Benoît B. Mandelbrot - 1977
The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.
Becoming the Math Teacher You Wish You'd Had: Ideas and Strategies from Vibrant Classrooms
Tracy Zager - 2017
Pose the same question to students and many will use words like "boring", "useless", and even "humiliating". In
Becoming the Math Teacher You Wish You'd Had
, author Tracy Zager helps teachers close this gap by making math class more like mathematics. Tracy has spent years working with highly skilled math teachers in a diverse range of settings and grades. You'll find this book jam-packed with new ideas from these vibrant classrooms. How to Teach Student-Centered Mathematics: Zager outlines a problem-solving approach to mathematics for elementary and middle school educators looking for new ways to inspire student learningBig Ideas, Practical Application: This math book contains dozens of practical and accessible teaching techniques that focus on fundamental math concepts, including strategies that simulate connection of big ideas; rich tasks that encourage students to wonder, generalize, hypothesize, and persevere; and routines to teach students how to collaborateKey Topics for Elementary and Middle School Teachers:
Becoming the Math Teacher You Wish You'd Had
offers fresh perspectives on common challenges, from formative assessment to classroom management for elementary and middle school teachersAll teachers can move towards increasingly authentic and delightful mathematics teaching and learning. This important book helps develop instructional techniques that will make the math classes we teach so much better than the math classes we took.
Introducing Statistics: A Graphic Guide
Eileen Magnello - 2005
For the media, statistics are routinely 'damning', 'horrifying', or, occasionally, 'encouraging'. Yet, for all their ubiquity, most of us really don't know what to make of statistics. Exploring the history, mathematics, philosophy and practical use of statistics, Eileen Magnello - accompanied by Bill Mayblin's intelligent graphic illustration - traces the rise of statistics from the ancient Babylonians, Egyptians and Chinese, to the censuses of Romans and the Greeks, and the modern emergence of the term itself in Europe. She explores the 'vital statistics' of, in particular, William Farr, and the mathematical statistics of Karl Pearson and R.A. Fisher.She even tells how knowledge of statistics can prolong one's life, as it did for evolutionary biologist Stephen Jay Gould, given eight months to live after a cancer diagnoses in 1982 - and he lived until 2002. This title offers an enjoyable, surprise-filled tour through a subject that is both fascinating and crucial to understanding our world.