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Mathematical Muffin Morsels: Nobody Wants A Small Piece

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Release : 2020-05-28
Genre : Mathematics
Kind : eBook
Book Rating : 197/5 ( reviews)

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Book Synopsis Mathematical Muffin Morsels: Nobody Wants A Small Piece by : William Gasarch

Download or read book Mathematical Muffin Morsels: Nobody Wants A Small Piece written by William Gasarch. This book was released on 2020-05-28. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Nuggets From Austria: Selected Problems From The Styrian Mid-secondary School Mathematics Competitions

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Release : 2020-10-20
Genre : Mathematics
Kind : eBook
Book Rating : 273/5 ( reviews)

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Book Synopsis Mathematical Nuggets From Austria: Selected Problems From The Styrian Mid-secondary School Mathematics Competitions by : Robert Geretschlager

Download or read book Mathematical Nuggets From Austria: Selected Problems From The Styrian Mid-secondary School Mathematics Competitions written by Robert Geretschlager. This book was released on 2020-10-20. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics Entertainment For The Millions

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Release : 2020-07-21
Genre : Mathematics
Kind : eBook
Book Rating : 303/5 ( reviews)

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Book Synopsis Mathematics Entertainment For The Millions by : Alfred S Posamentier

Download or read book Mathematics Entertainment For The Millions written by Alfred S Posamentier. This book was released on 2020-07-21. Available in PDF, EPUB and Kindle. Book excerpt: '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.

Fate Of Schrodinger's Cat, The: Using Math And Computers To Explore The Counterintuitive

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Release : 2020-07-14
Genre : Mathematics
Kind : eBook
Book Rating : 17X/5 ( reviews)

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Book Synopsis Fate Of Schrodinger's Cat, The: Using Math And Computers To Explore The Counterintuitive by : James D Stein

Download or read book Fate Of Schrodinger's Cat, The: Using Math And Computers To Explore The Counterintuitive written by James D Stein. This book was released on 2020-07-14. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Understanding Mathematics Through Problem Solving

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Release : 2020-03-23
Genre : Mathematics
Kind : eBook
Book Rating : 697/5 ( reviews)

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Book Synopsis Understanding Mathematics Through Problem Solving by : Alfred S Posamentier

Download or read book Understanding Mathematics Through Problem Solving written by Alfred S Posamentier. This book was released on 2020-03-23. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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