The Mathematics of Gambling

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Author :
Publisher : Lyle Stuart
ISBN 13 : 9780897460194
Total Pages : 161 pages
Book Rating : 4.4/5 (61 download)

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Book Synopsis The Mathematics of Gambling by : Edward Thorp

Download or read book The Mathematics of Gambling written by Edward Thorp and published by Lyle Stuart. This book was released on 1984 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Probability Guide to Gambling

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Author :
Publisher : INFAROM Publishing
ISBN 13 : 9738752035
Total Pages : 340 pages
Book Rating : 4.7/5 (387 download)

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Book Synopsis Probability Guide to Gambling by : Catalin Barboianu

Download or read book Probability Guide to Gambling written by Catalin Barboianu and published by INFAROM Publishing. This book was released on 2006 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Basic Gambling Mathematics

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Author :
Publisher : CRC Press
ISBN 13 : 1482208938
Total Pages : 285 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Basic Gambling Mathematics by : Mark Bollman

Download or read book Basic Gambling Mathematics written by Mark Bollman and published by CRC Press. This book was released on 2014-06-13 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understand the Math Underlying Some of Your Favorite Gambling Games Basic Gambling Mathematics: The Numbers Behind the Neon explains the mathematics involved in analyzing games of chance, including casino games, horse racing, and lotteries. The book helps readers understand the mathematical reasons why some gambling games are better for the player than others. It is also suitable as a textbook for an introductory course on probability. Along with discussing the mathematics of well-known casino games, the author examines game variations that have been proposed or used in actual casinos. Numerous examples illustrate the mathematical ideas in a range of casino games while end-of-chapter exercises go beyond routine calculations to give readers hands-on experience with casino-related computations. The book begins with a brief historical introduction and mathematical preliminaries before developing the essential results and applications of elementary probability, including the important idea of mathematical expectation. The author then addresses probability questions arising from a variety of games, including roulette, craps, baccarat, blackjack, Caribbean stud poker, Royal Roulette, and sic bo. The final chapter explores the mathematics behind "get rich quick" schemes, such as the martingale and the Iron Cross, and shows how simple mathematics uncovers the flaws in these systems.

Mathematics in Games, Sports, and Gambling

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Publisher : CRC Press
ISBN 13 : 1498719538
Total Pages : 376 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Mathematics in Games, Sports, and Gambling by : Ronald J. Gould

Download or read book Mathematics in Games, Sports, and Gambling written by Ronald J. Gould and published by CRC Press. This book was released on 2015-10-28 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Mathematics of Games and Gambling

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Publisher : MAA
ISBN 13 : 9780883856468
Total Pages : 200 pages
Book Rating : 4.8/5 (564 download)

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Book Synopsis Mathematics of Games and Gambling by : Edward W. Packel

Download or read book Mathematics of Games and Gambling written by Edward W. Packel and published by MAA. This book was released on 2006-12-14 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new edition of a favourite which introduces and develops some of the important and beautiful elementary mathematics needed for rational analysis of various gambling and game activities. Most of the standard casino games (roulette, craps, blackjack, keno), some social games (backgammon, poker, bridge) and various other activities (state lotteries, horse racing) are treated in ways that bring out their mathematical aspects. The mathematics developed ranges from the predictable concepts of probability, expectation, and binomial coefficients to some less well-known ideas of elementary game theory. The second edition includes new material on: • Sports betting and the mathematics behind it • Game theory applied to bluffing in poker and related to the 'Texas Holdem phenomenon' • The Nash equilibrium concept and its emergence in popular culture • Internet links to games and Java applets for practice and classroom use. Game-related exercises are included and solutions to some appear at the end of the book.

Calculated Bets

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Publisher : Cambridge University Press
ISBN 13 : 9780521009621
Total Pages : 252 pages
Book Rating : 4.0/5 (96 download)

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Book Synopsis Calculated Bets by : Steven S. Skiena

Download or read book Calculated Bets written by Steven S. Skiena and published by Cambridge University Press. This book was released on 2001-08-06 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: A story of using computer simulations and mathematical modeling techniques to predict the outcome of jai-alai matches and bet on them successfully.

Games, Gambling, and Probability

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Publisher : CRC Press
ISBN 13 : 1000400204
Total Pages : 516 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Games, Gambling, and Probability by : David G. Taylor

Download or read book Games, Gambling, and Probability written by David G. Taylor and published by CRC Press. This book was released on 2021-06-22 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many experiments have shown the human brain generally has very serious problems dealing with probability and chance. A greater understanding of probability can help develop the intuition necessary to approach risk with the ability to make more informed (and better) decisions. The first four chapters offer the standard content for an introductory probability course, albeit presented in a much different way and order. The chapters afterward include some discussion of different games, different "ideas" that relate to the law of large numbers, and many more mathematical topics not typically seen in such a book. The use of games is meant to make the book (and course) feel like fun! Since many of the early games discussed are casino games, the study of those games, along with an understanding of the material in later chapters, should remind you that gambling is a bad idea; you should think of placing bets in a casino as paying for entertainment. Winning can, obviously, be a fun reward, but should not ever be expected. Changes for the Second Edition: New chapter on Game Theory New chapter on Sports Mathematics The chapter on Blackjack, which was Chapter 4 in the first edition, appears later in the book. Reorganization has been done to improve the flow of topics and learning. New sections on Arkham Horror, Uno, and Scrabble have been added. Even more exercises were added! The goal for this textbook is to complement the inquiry-based learning movement. In my mind, concepts and ideas will stick with the reader more when they are motivated in an interesting way. Here, we use questions about various games (not just casino games) to motivate the mathematics, and I would say that the writing emphasizes a "just-in-time" mathematics approach. Topics are presented mathematically as questions about the games themselves are posed. Table of Contents Preface 1. Mathematics and Probability 2. Roulette and Craps: Expected Value 3. Counting: Poker Hands 4. More Dice: Counting and Combinations, and Statistics 5. Game Theory: Poker Bluffing and Other Games 6. Probability/Stochastic Matrices: Board Game Movement 7. Sports Mathematics: Probability Meets Athletics 8. Blackjack: Previous Methods Revisited 9. A Mix of Other Games 10. Betting Systems: Can You Beat the System? 11. Potpourri: Assorted Adventures in Probability Appendices Tables Answers and Selected Solutions Bibliography Biography Dr. David G. Taylor is a professor of mathematics and an associate dean for academic affairs at Roanoke College in southwest Virginia. He attended Lebanon Valley College for his B.S. in computer science and mathematics and went to the University of Virginia for his Ph.D. While his graduate school focus was on studying infinite dimensional Lie algebras, he started studying the mathematics of various games in order to have a more undergraduate-friendly research agenda. Work done with two Roanoke College students, Heather Cook and Jonathan Marino, appears in this book! Currently he owns over 100 different board games and enjoys using probability in his decision-making while playing most of those games. In his spare time, he enjoys reading, cooking, coding, playing his board games, and spending time with his six-year-old dog Lilly.

What's Luck Got to Do with It?

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Publisher : Princeton University Press
ISBN 13 : 1400834457
Total Pages : 297 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis What's Luck Got to Do with It? by : Joseph Mazur

Download or read book What's Luck Got to Do with It? written by Joseph Mazur and published by Princeton University Press. This book was released on 2010-05-17 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: The hazards of feeling lucky in gambling Why do so many gamblers risk it all when they know the odds of winning are against them? Why do they believe dice are "hot" in a winning streak? Why do we expect heads on a coin toss after several flips have turned up tails? What's Luck Got to Do with It? takes a lively and eye-opening look at the mathematics, history, and psychology of gambling to reveal the most widely held misconceptions about luck. It exposes the hazards of feeling lucky, and uses the mathematics of predictable outcomes to show when our chances of winning are actually good. Mathematician Joseph Mazur traces the history of gambling from the earliest known archaeological evidence of dice playing among Neolithic peoples to the first systematic mathematical studies of games of chance during the Renaissance, from government-administered lotteries to the glittering seductions of grand casinos, and on to the global economic crisis brought on by financiers' trillion-dollar bets. Using plenty of engaging anecdotes, Mazur explains the mathematics behind gambling—including the laws of probability, statistics, betting against expectations, and the law of large numbers—and describes the psychological and emotional factors that entice people to put their faith in winning that ever-elusive jackpot despite its mathematical improbability. As entertaining as it is informative, What's Luck Got to Do with It? demonstrates the pervasive nature of our belief in luck and the deceptive psychology of winning and losing. Some images inside the book are unavailable due to digital copyright restrictions.

The Perfect Bet

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Publisher : Basic Books
ISBN 13 : 0465098592
Total Pages : 288 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis The Perfect Bet by : Adam Kucharski

Download or read book The Perfect Bet written by Adam Kucharski and published by Basic Books. This book was released on 2016-02-23 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: "An elegant and amusing account" of how gambling has been reshaped by the application of science and revealed the truth behind a lucky bet (Wall Street Journal). For the past 500 years, gamblers-led by mathematicians and scientists-have been trying to figure out how to pull the rug out from under Lady Luck. In The Perfect Bet, mathematician and award-winning writer Adam Kucharski tells the astonishing story of how the experts have succeeded, revolutionizing mathematics and science in the process. The house can seem unbeatable. Kucharski shows us just why it isn't. Even better, he demonstrates how the search for the perfect bet has been crucial for the scientific pursuit of a better world.

The Theory of Gambling and Statistical Logic

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Publisher : Gulf Professional Publishing
ISBN 13 : 9780122407611
Total Pages : 476 pages
Book Rating : 4.4/5 (76 download)

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Book Synopsis The Theory of Gambling and Statistical Logic by : Richard A. Epstein

Download or read book The Theory of Gambling and Statistical Logic written by Richard A. Epstein and published by Gulf Professional Publishing. This book was released on 1995 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering all aspects of gambling, The Theory of Gambling and Statistical Logic is mathematically sophisticated, but can be read for what it says about the games and strategies, skipping the technicalities. The material is fascinating and detailed, and the analysis is masterful.

Roulette Odds and Profits

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Publisher : INFAROM Publishing
ISBN 13 : 9738752078
Total Pages : 210 pages
Book Rating : 4.7/5 (387 download)

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Book Synopsis Roulette Odds and Profits by : Catalin Barboianu

Download or read book Roulette Odds and Profits written by Catalin Barboianu and published by INFAROM Publishing. This book was released on 2008 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuing his series of books on the mathematics of gambling, the author shows how a simple-rule game such as roulette is suited to a complex mathematical model whose applications generate improved betting systems that take into account a player's personal playing criteria. The book is both practical and theoretical, but is mainly devoted to the application of theory. About two-thirds of the content is lists of categories and sub-categories of improved betting systems, along with all the parameters that might stand as the main objective criteria in a personal strategy - odds, profits and losses. The work contains new and original material not published before. The mathematical chapter describes complex bets, the profit function, the equivalence between bets and all their properties. All theoretical results are accompanied by suggestive concrete examples and can be followed by anyone with a minimal mathematical background because they involve only basic algebraic skills and set theory basics. The reader may also choose to skip the math and go directly to the sections containing applications, where he or she can pick desired numerical results from tables. The book offers no new so-called winning strategies, although it discusses them from a mathematical point of view. It does, however, offer improved betting systems and helps to organize a player's choices in roulette betting, according to mathematical facts and personal strategies. It is a must-have roulette handbook to be studied before placing your bets on the turn of either a European or American roulette wheel.

Mathematics of Casino Carnival Games

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Publisher : CRC Press
ISBN 13 : 1000192032
Total Pages : 281 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Mathematics of Casino Carnival Games by : Mark Bollman

Download or read book Mathematics of Casino Carnival Games written by Mark Bollman and published by CRC Press. This book was released on 2020-10-20 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are thousands of books relating to poker, blackjack, roulette and baccarat, including strategy guides, statistical analysis, psychological studies, and much more. However, there are no books on Pell, Rouleno, Street Dice, and many other games that have had a short life in casinos! While this is understandable — most casino gamblers have not heard of these games, and no one is currently playing them — their absence from published works means that some interesting mathematics and gaming history are at risk of being lost forever. Table games other than baccarat, blackjack, craps, and roulette are called carnival games, as a nod to their origin in actual traveling or seasonal carnivals. Mathematics of Casino Carnival Games is a focused look at these games and the mathematics at their foundation. Features • Exercises, with solutions, are included for readers who wish to practice the ideas presented • Suitable for a general audience with an interest in the mathematics of gambling and games • Goes beyond providing practical ‘tips’ for gamblers, and explores the mathematical principles that underpin gambling games

Gambling Theory and Other Topics

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Publisher : Two Plus Two Publishing LLC
ISBN 13 : 9781880685037
Total Pages : 420 pages
Book Rating : 4.6/5 (85 download)

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Book Synopsis Gambling Theory and Other Topics by : Mason Malmuth

Download or read book Gambling Theory and Other Topics written by Mason Malmuth and published by Two Plus Two Publishing LLC. This book was released on 1999 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Absolutely must reading for all serious gamblers. Most people who gamble are basically attracted by the action and the excitement that this form of entertainment offers. But a small number of people are quite successful at it. How is this so? What helps these few to make decisions that devastate their opponents? And what do you need to do to become successful at this extremely challenging occupation? This text attempts to answer these questions. You will be introduced to the dynamic concept of non-self-weighting strategies and shown how these strategies apply not only at the "very exciting gaming tables" but in real life as well. In addition, risk and fluctuations are discussed in terms of the standard deviation and their relationship to each other and to your bankroll. Some of the other topics addressed are bankroll requirements, win-rate accuracy, free bets, which blackjack count is best, lottery fallacies, dangerous ideas, poker tournament strategies (including when it is correct to rebuy), settling up in tournaments, pai gow poker, super pan nine, the world's greatest gamblers, and building pyramids.

Getting the Best of It

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Publisher : Two Plus Two Publishing LLC
ISBN 13 : 9781880685044
Total Pages : 344 pages
Book Rating : 4.6/5 (85 download)

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Book Synopsis Getting the Best of It by : David Sklansky

Download or read book Getting the Best of It written by David Sklansky and published by Two Plus Two Publishing LLC. This book was released on 1997 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains six sections discussing probability, poker, blackjack, other casino games, sports betting, and general gambling concepts. This book contains some of the most sophisticated gambling ideas that have ever been put into print. Included is perhaps the best discussion of the basic mathematics of gambling, yet it is written so that even the most non-mathematical of readers can understand it. Many of the ideas discussed are those that the author himself has successfully used during his career. Topics include expectation, combinations, Baye's Theorem, the eight mistakes in poker, checking in the dark, playing tight, The Key Card Concept, casinos and their mistakes, crapless craps, betting sports, hedging and middling, knowing what's important, the Law of Averages and Other Fallacies, and much more.

Draw Poker Odds

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Publisher : INFAROM Publishing
ISBN 13 : 9738752051
Total Pages : 314 pages
Book Rating : 4.7/5 (387 download)

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Book Synopsis Draw Poker Odds by : Catalin Barboianu

Download or read book Draw Poker Odds written by Catalin Barboianu and published by INFAROM Publishing. This book was released on 2007 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like any variation of poker, draw poker (or classical poker) is also predisposed to probability-based decisions. The author presents the mathematics involved in this card game, with respect to the usage of the numerical results in players' strategies. The whole presentation is focused on the practical aspect of the application of probability theory in draw poker and all the sections are such structured to allow the direct usage of the numerical results. This is why every section is packed with tables, some of them filling dozens of pages. This is not a math book, even if the supporting mathematics is present thorough, but a guide addressed to poker players, who can skip the math parts at any time and pick the needed results from tables. For those interested, the complete methodology, the way probability theory is applied and a part of the calculations are shown, so it teaches the player how to calculate odds for any situation for every stage of the game, even the numerical results are already listed in the book. Want to evaluate the probability of one opponent bluffing? Want to know the probability of at least one opponent holding a card formation higher than yours, at any moment of the game? Want to know the probability of hitting the desired formation if discarding in a certain way? All this information is in the book and is fully mathematically grounded. All probability results from this guide are obtained through compact mathematical formulas and not partial simulations on computer. These formulas are the outcome of one year of study, math work and tests. The author found the right probability model in which to apply the theory and conveniently quantify the card distributions inorder to work out the draw poker probability formulas. They were built with an enough large range of variables to cover all possible situations and were never worked out before. Their numerical returns were gathered in three main categories of odds presented in the book: - Initial probabilities of the first card distribution for your own hand; - Prediction probabilities after first card distribution and before the second for your own hand; - Prediction probabilities for opponents' hands. Every section ends with suggestive examples and there is also a special chapter with a lot of relevant gaming situations presented along with the odds of their associated events. Among author's previously published books on mathematics of gambling, Draw Poker Odds seems to be the most practical one and that is because the author presents the results of applied probability in a gambling-behavioral manner that can influence the balance between the subjective strategies and the real odds in player's favor.

Mathematics of The Big Four Casino Table Games

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Author :
Publisher : CRC Press
ISBN 13 : 1000423840
Total Pages : 364 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Mathematics of The Big Four Casino Table Games by : Mark Bollman

Download or read book Mathematics of The Big Four Casino Table Games written by Mark Bollman and published by CRC Press. This book was released on 2021-08-20 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is the basis of casino games, which are the bedrock of a $100 billion/year industry. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette takes an in-depth look at the four biggest table games in casinos: blackjack, baccarat, craps, and roulette. It guides readers through the mathematical principles that underpin these games and their different variations, providing insights that will be of huge interest to gamblers, casino managers, researchers, and students of mathematics. Features A valuable teaching resource, replete with exercises, for any course on gambling mathematics Suitable for a wide audience of professionals, researchers, and students Many practical applications for the gambling industry Mark Bollman is Professor of Mathematics and chair of the Department of Mathematics & Computer Science at Albion College in Albion, Michigan, and has taught 116 different courses in his career. Among these courses is "Mathematics of the Gaming Industry," where mathematics majors carefully study the math behind games of chance and travel to Las Vegas, Nevada, in order to compare theory and practice. He has also taken those ideas into Albion’s Honors Program in "Great Issues in Humanities: Perspectives on Gambling," which considers gambling from literary, philosophical, and historical points of view as well as mathematically. Mark has also authored Basic Gambling Mathematics: The Numbers Behind the Neon, Mathematics of Keno and Lotteries, and Mathematics of Casino Carnival Games.

A Dingo Ate My Math Book

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Publisher : American Mathematical Soc.
ISBN 13 : 1470435217
Total Pages : 273 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis A Dingo Ate My Math Book by : Burkard Polster

Download or read book A Dingo Ate My Math Book written by Burkard Polster and published by American Mathematical Soc.. This book was released on 2017-12-27 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Dingo Ate My Math Book presents ingenious, unusual, and beautiful nuggets of mathematics with a distinctly Australian flavor. It focuses, for example, on Australians' love of sports and gambling, and on Melbourne's iconic, mathematically inspired architecture. Written in a playful and humorous style, the book offers mathematical entertainment as well as a glimpse of Australian culture for the mathematically curious of all ages. This collection of engaging stories was extracted from the Maths Masters column that ran from 2007 to 2014 in Australia's Age newspaper. The maths masters in question are Burkard Polster and Marty Ross, two (immigrant) Aussie mathematicians, who each week would write about math in the news, providing a new look at old favorites, mathematical history, quirks of school mathematics—whatever took their fancy. All articles were written for a very general audience, with the intention of being as inviting as possible and assuming a minimum of mathematical background.