Mathematical Muffin Morsels: Nobody Wants A Small Piece PDF Download
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Author: William Gasarch
Publisher: World Scientific
ISBN: 9811215197
Category : Mathematics
Languages : en
Pages : 227
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Book Description
Suppose you have five muffins that you want to divide and give to Alice, Bob, and Carol. You want each of them to get 5/3. You could cut each muffin into 1/3-1/3-1/3 and give each student five 1/3-sized pieces. But Alice objects! She has large hands! She wants everyone to have pieces larger than 1/3.Is there a way to divide five muffins for three students so that everyone gets 5/3, and all pieces are larger than 1/3? Spoiler alert: Yes! In fact, there is a division where the smallest piece is 5/12. Is there a better division? Spoiler alert: No.In this book we consider THE MUFFIN PROBLEM: what is the best way to divide up m muffins for s students so that everyone gets m/s muffins, with the smallest pieces maximized. We look at both procedures for the problem and proofs that these procedures are optimal.This problem takes us through much mathematics of interest, for example, combinatorics and optimization theory. However, the math is elementary enough for an advanced high school student.
Author: William Gasarch
Publisher: World Scientific
ISBN: 9811215197
Category : Mathematics
Languages : en
Pages : 227
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Book Description
Suppose you have five muffins that you want to divide and give to Alice, Bob, and Carol. You want each of them to get 5/3. You could cut each muffin into 1/3-1/3-1/3 and give each student five 1/3-sized pieces. But Alice objects! She has large hands! She wants everyone to have pieces larger than 1/3.Is there a way to divide five muffins for three students so that everyone gets 5/3, and all pieces are larger than 1/3? Spoiler alert: Yes! In fact, there is a division where the smallest piece is 5/12. Is there a better division? Spoiler alert: No.In this book we consider THE MUFFIN PROBLEM: what is the best way to divide up m muffins for s students so that everyone gets m/s muffins, with the smallest pieces maximized. We look at both procedures for the problem and proofs that these procedures are optimal.This problem takes us through much mathematics of interest, for example, combinatorics and optimization theory. However, the math is elementary enough for an advanced high school student.
Author: Robert Geretschlager
Publisher: World Scientific
ISBN: 9811219273
Category : Mathematics
Languages : en
Pages : 411
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Book Description
This book is composed of the most interesting problems from a quarter century of regional mathematics competitions for students aged 11-14 in the province of Styria, Austria. The problems presented here range from pure puzzles to a more traditional mathematical type of question, but all are somehow special, posed with the intent of giving the reader something interesting to think about, with the promise of an entertaining moment of elucidation and enlightenment at the end.
Author: Alfred S Posamentier
Publisher: World Scientific
ISBN: 9811219303
Category : Mathematics
Languages : en
Pages : 304
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Book Description
'The physical form of this new title is pleasing, including good paper, readable font, and durable binding … The book is not a collection of practical ideas. Rather, it is intended for those curious about pure mathematical tidbits. The flavor is light, as opposed to pedantic. Among the numerous books of this type, this title is significantly better than most. It should be considered for private collections and for libraries that can afford to serve a small, unique readership.Summing Up: Recommended. General readers.'CHOICEThis book demonstrates to the general audience that mathematics can be entertaining and fun, rather than the sad reputation it has gained over decades from uninspired school instruction that is often devoid of enrichment or motivational considerations.The book is designed in such a way that a reader will need almost no special preparation in mathematics, but to recall some of the most basic concepts that were taught at the lower-secondary-grade level.Yet, by the same token, the book will hopefully open up doors for those less motivated in mathematics — to interest readers to investigate some of the topics presented and thereby enhance their knowledge of mathematics — something most general readers will not initially find possible, but we hope will be an end product of this book.
Author: James D Stein
Publisher: World Scientific
ISBN: 981121817X
Category : Mathematics
Languages : en
Pages : 171
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Book Description
Can we correctly predict the flip of a fair coin more than half the time — or the decay of a single radioactive atom? Our intuition, based on a lifetime of experience, tells us that we cannot, as these are classic examples of what are known to be 50-50 guesses.But mathematics is filled with counterintuitive results — and this book discusses some surprising and entertaining examples. It is possible to devise experiments in which a flipped coin lands heads completely at random half the time, but we can also correctly predict when it will land heads more than half the time. The Fate of Schrodinger's Cat shows how high-school algebra and basic probability theory, with the invaluable assistance of computer simulations, can be used to investigate both the intuitive and the counterintuitive.This book explores fascinating and controversial questions involving prediction, decision-making, and statistical analysis in a number of diverse areas, ranging from whether there is such a thing as a 'hot hand' in shooting a basketball, to how we can successfully predict, more than half the time, the decay of the radioactive atom that determines the fate of Schrodinger's Cat.
Author: Alfred S Posamentier
Publisher: World Scientific
ISBN: 9814663697
Category : Mathematics
Languages : en
Pages : 530
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Book Description
This book will present a collection of mathematical problems — lighthearted in nature — intended to entertain the general readership. Problems will be selected largely for the unusual and unexpected solutions to which they lend themselves. Some interesting contents included: All in all, the book is meant to entertain the general readership and to convince them about the power and beauty of mathematics.
Author: Samuel Dittmer
Publisher: CRC Press
ISBN: 1040102050
Category : Mathematics
Languages : en
Pages : 132
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Book Description
Puzzle and Proof: A Decade of Problems from the Utah Math Olympiad is a compilation of the problems and solutions for the first 10 years of the Utah Math Olympiad. The problems are challenging but should be understandable at a high school level. Besides putting all problems in one place (70 in total), which have not previously appeared in print, the book provides additional inspiration for many of the problems and will contain the first published solutions for 10 problems that were originally published on the contest flyer. The book will be a fantastic resource for anyone who enjoys mathematical and/or logic puzzles or is interested in studying for mathematics competitions. Features 70 carefully designed, high-quality high-school level math proof problems, with full solutions Detailed pictures and diagrams throughout to aid understanding Suitable for anyone with high school-level mathematics skills with an interest in furthering their understanding, or just enjoying the puzzles Solutions in the back of the book, sorting the problems by difficulty and topic.
Author: William Davis
Publisher: Rodale Books
ISBN: 160961741X
Category : Health & Fitness
Languages : en
Pages : 306
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Book Description
Includes a sneak peek of Undoctored—the new book from Dr. Davis! In this #1 New York Times bestseller, a renowned cardiologist explains how eliminating wheat from our diets can prevent fat storage, shrink unsightly bulges, and reverse myriad health problems. Every day, over 200 million Americans consume food products made of wheat. As a result, over 100 million of them experience some form of adverse health effect, ranging from minor rashes and high blood sugar to the unattractive stomach bulges that preventive cardiologist William Davis calls "wheat bellies." According to Davis, that excess fat has nothing to do with gluttony, sloth, or too much butter: It's due to the whole grain wraps we eat for lunch. After witnessing over 2,000 patients regain their health after giving up wheat, Davis reached the disturbing conclusion that wheat is the single largest contributor to the nationwide obesity epidemic—and its elimination is key to dramatic weight loss and optimal health. In Wheat Belly, Davis exposes the harmful effects of what is actually a product of genetic tinkering and agribusiness being sold to the American public as "wheat"—and provides readers with a user-friendly, step-by-step plan to navigate a new, wheat-free lifestyle. Informed by cutting-edge science and nutrition, along with case studies from men and women who have experienced life-changing transformations in their health after waving goodbye to wheat, Wheat Belly is an illuminating look at what is truly making Americans sick and an action plan to clear our plates of this seemingly benign ingredient.
Author: Frank Clark
Publisher: Xlibris Corporation
ISBN: 1477106324
Category : Fiction
Languages : en
Pages : 244
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Book Description
This book is a collection of short stories written by Frank Clark. Stories are humorous, imaginative, and introspective. An interesting and creative style of writing outside the box of the classical literary short story. Many stories are written in the vernacular to describe people and place. These stories are about everyday people in everyday life. You will identify with many of the characters and themes of these stories. The wit and creativity of Frank's writing will make you laugh, allow you to step into an imaginary world and will give you something to think about. Each story is amusing and will capture your interest. Read one story and you can't wait to read the next. These stories are quite funny. You will laugh and you will smile. Enter an imaginary world, a brief escape from the demands of your day. You will return to your day feeling refreshed, relaxed with exuberant energy to complete your day. Maybe an extraordinary day. Lastly, many of the stories are introspective. They give you something to think about from a different point of view. These stories have been written for you. You will fi nd them a delightful read. Enjoy your read.
Author: William I. Gasarch
Publisher: World Scientific Publishing Company
ISBN: 9789813279728
Category : General semantics
Languages : en
Pages : 0
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Book Description
Ever notice how people sometimes use math words inaccurately? Or how sometimes you instinctively know a math statement is false (or not known)? Each chapter of this book makes a point like those above and then illustrates the point by doing some real mathematics through step-by-step mathematical techniques. This book gives readers valuable information about how mathematics and theoretical computer science work, while teaching them some actual mathematics and computer science through examples and exercises. Much of the mathematics could be understood by a bright high school student. The points made can be understood by anyone with an interest in math, from the bright high school student to a Field's medal winner.
Author: Erika Warecki
Publisher: Learning Express (NY)
ISBN: 9781576854167
Category : Education, Elementary
Languages : en
Pages : 0
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Book Description
Getting Ready for the 4th Grade Assessment Test: Help Improve Your Child’s Math and English Skills – Many parents are expressing a demand for books that will help their children succeed and excel on the fourth grade assessment tests in math and English –especially in areas where children have limited access to computers. This book will help students practice basic math concepts, i.e., number sense and applications as well as more difficult math, such as patterns, functions, and algebra. English skills will include practice in reading comprehension, writing, and vocabulary. Rubrics are included for self-evaluation.
