Download or read book Mathematical Muffin Morsels Nobody Wants A Small Piece written by William Gasarch and published by World Scientific. This book was released on 2020-05-28 with total page 227 pages. 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.
Download or read book Mathematical Nuggets From Austria Selected Problems From The Styrian Mid secondary School Mathematics Competitions written by Robert Geretschlager and published by World Scientific. This book was released on 2020-10-20 with total page 411 pages. 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.
Download or read book Mathematics Entertainment For The Millions written by Alfred S Posamentier and published by World Scientific. This book was released on 2020-07-21 with total page 304 pages. 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.
Download or read book Fate Of Schrodinger s Cat The Using Math And Computers To Explore The Counterintuitive written by James D Stein and published by World Scientific. This book was released on 2020-07-14 with total page 171 pages. 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.
Download or read book Understanding Mathematics Through Problem Solving written by Alfred S Posamentier and published by World Scientific. This book was released on 2020-03-23 with total page 530 pages. 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.
Download or read book Puzzle and Proof written by Samuel Dittmer and published by CRC Press. This book was released on 2024-08-13 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Wheat Belly written by William Davis and published by Rodale Books. This book was released on 2014-06-03 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Frank Clark Short Stories written by Frank Clark and published by Xlibris Corporation. This book was released on 2012-08 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Problems with a Point written by William I. Gasarch and published by World Scientific Publishing Company. This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Getting Ready for the 4th Grade Assessment Tests written by Erika Warecki and published by Learning Express (NY). This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Math Curse written by Jon Scieszka and published by Penguin. This book was released on 1995-10-01 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Did you ever wake up to one of those days where everything is a problem? You have 10 things to do, but only 30 minutes until your bus leaves. Is there enough time? You have 3 shirts and 2 pairs of pants. Can you make 1 good outfit? Then you start to wonder: Why does everything have to be such a problem? Why do 2 apples always have to be added to 5 oranges? Why do 4 kids always have to divide 12 marbles? Why can't you just keep 10 cookies without someone taking 3 away? Why? Because you're the victim of a Math Curse. That's why. But don't despair. This is one girl's story of how that curse can be broken.
Download or read book An Illustrated Theory of Numbers written by Martin H. Weissman and published by American Mathematical Soc.. This book was released on 2020-09-15 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: News about this title: — Author Marty Weissman has been awarded a Guggenheim Fellowship for 2020. (Learn more here.) — Selected as a 2018 CHOICE Outstanding Academic Title — 2018 PROSE Awards Honorable Mention An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments provide new insights, and allow for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms, using Conway's topograph to solve quadratic Diophantine equations (e.g., Pell's equation) and to study reduction and the finiteness of class numbers. Data visualizations introduce the reader to open questions and cutting-edge results in analytic number theory such as the Riemann hypothesis, boundedness of prime gaps, and the class number 1 problem. Accompanying each chapter, historical notes curate primary sources and secondary scholarship to trace the development of number theory within and outside the Western tradition. Requiring only high school algebra and geometry, this text is recommended for a first course in elementary number theory. It is also suitable for mathematicians seeking a fresh perspective on an ancient subject.
Download or read book The Smitten Kitchen Cookbook written by Deb Perelman and published by Knopf. This book was released on 2012-10-30 with total page 675 pages. Available in PDF, EPUB and Kindle. Book excerpt: NEW YORK TIMES BEST SELLER • Celebrated food blogger and best-selling cookbook author Deb Perelman knows just the thing for a Tuesday night, or your most special occasion—from salads and slaws that make perfect side dishes (or a full meal) to savory tarts and galettes; from Mushroom Bourguignon to Chocolate Hazelnut Crepe. “Innovative, creative, and effortlessly funny." —Cooking Light Deb Perelman loves to cook. She isn’t a chef or a restaurant owner—she’s never even waitressed. Cooking in her tiny Manhattan kitchen was, at least at first, for special occasions—and, too often, an unnecessarily daunting venture. Deb found herself overwhelmed by the number of recipes available to her. Have you ever searched for the perfect birthday cake on Google? You’ll get more than three million results. Where do you start? What if you pick a recipe that’s downright bad? With the same warmth, candor, and can-do spirit her award-winning blog, Smitten Kitchen, is known for, here Deb presents more than 100 recipes—almost entirely new, plus a few favorites from the site—that guarantee delicious results every time. Gorgeously illustrated with hundreds of her beautiful color photographs, The Smitten Kitchen Cookbook is all about approachable, uncompromised home cooking. Here you’ll find better uses for your favorite vegetables: asparagus blanketing a pizza; ratatouille dressing up a sandwich; cauliflower masquerading as pesto. These are recipes you’ll bookmark and use so often they become your own, recipes you’ll slip to a friend who wants to impress her new in-laws, and recipes with simple ingredients that yield amazing results in a minimum amount of time. Deb tells you her favorite summer cocktail; how to lose your fear of cooking for a crowd; and the essential items you need for your own kitchen. From salads and slaws that make perfect side dishes (or a full meal) to savory tarts and galettes; from Mushroom Bourguignon to Chocolate Hazelnut Crepe Cake, Deb knows just the thing for a Tuesday night, or your most special occasion. Look for Deb Perelman’s latest cookbook, Smitten Kitchen Keepers!
Download or read book Chocolate Covered Katie written by Katie Higgins and published by Grand Central Life & Style. This book was released on 2015-01-06 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: From one of the top 25 food websites in America and the "queen of healthy desserts,” Katie Higgins, comes Chocolate Covered Katie's first cookbook with 80 never-before-seen recipes, such as Chocolate Obsession Cake, Peanut Butter Pudding Pops, and Ultimate Unbaked Brownies (Glamour magazine)! What if you CAN eat all of your favorite desserts . . . and still be healthy and fit into your skinny jeans? Meet Katie: a girl who eats chocolate every day and sometimes even has cake for breakfast! When Katie's sugar habit went too far in college and left her lacking energy, she knew something needed to change. So she began developing her own naturally sweet recipes and posting them online. Soon, Katie's healthy dessert blog had become an Internet sensation, with over six million monthly visitors. Using only real ingredients, without any unnecessary fats, sugars, or empty calories, these desserts prove once and for all that health and happiness can go hand-in-hand-you can have your dessert and eat it, too!
Download or read book Global Affine Differential Geometry of Hypersurfaces written by An-Min Li and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-08-17 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book draws a colorful and widespread picture of global affine hypersurface theory up to the most recent state. Moreover, the recent development revealed that affine differential geometry – as differential geometry in general – has an exciting intersection area with other fields of interest, like partial differential equations, global analysis, convex geometry and Riemann surfaces. The second edition of this monograph leads the reader from introductory concepts to recent research. Since the publication of the first edition in 1993 there appeared important new contributions, like the solutions of two different affine Bernstein conjectures, due to Chern and Calabi, respectively. Moreover, a large subclass of hyperbolic affine spheres were classified in recent years, namely the locally strongly convex Blaschke hypersurfaces that have parallel cubic form with respect to the Levi-Civita connection of the Blaschke metric. The authors of this book present such results and new methods of proof.
Download or read book Bounded Queries in Recursion Theory written by William Levine and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the major concerns of theoretical computer science is the classifi cation of problems in terms of how hard they are. The natural measure of difficulty of a function is the amount of time needed to compute it (as a function of the length of the input). Other resources, such as space, have also been considered. In recursion theory, by contrast, a function is considered to be easy to compute if there exists some algorithm that computes it. We wish to classify functions that are hard, i.e., not computable, in a quantitative way. We cannot use time or space, since the functions are not even computable. We cannot use Turing degree, since this notion is not quantitative. Hence we need a new notion of complexity-much like time or spac~that is quantitative and yet in some way captures the level of difficulty (such as the Turing degree) of a function.
Download or read book Sinister Street Complete written by Compton Mackenzie and published by Library of Alexandria. This book was released on 1913-01-01 with total page 1513 pages. Available in PDF, EPUB and Kindle. Book excerpt: From a world of daisies as big as moons and of mountainous green hillocks Michael Fane came by some unrealized method of transport to the thin red house, that as yet for his mind could not claim an individual existence amid the uniformity of a long line of fellows. His arrival coincided with a confusion of furniture, with the tramp of men backwards and forwards from a cavernous vehicle very dry and dusty. He found himself continually being lifted out of the way of washstands and skeleton chests of drawers. He was invited to sit down and keep quiet, and almost in the same breath to walk about and avoid hindrance. Finally, Nurse led him up many resonant stairs to the night-nursery which at present consisted of two square cots that with japanned iron bars stood gauntly in a wilderness of oilcloth surrounded by four walls patterned with a prolific vegetation. Michael was dumped down upon a grey pillow and invited to see how well his sister Stella was behaving. Nurse’s observation was true enough: Stella was rosily asleep in an undulation of blankets, and Michael, threatened by many whispers and bony finger-shakes, was not at all inclined to wake her up. Nurse retired in an aura of importance, and Michael set out to establish an intimacy with the various iron bars of his cage. For a grown-up person these would certainly have seemed much more alike than even the houses of Carlington Road, West Kensington: for Michael each bar possessed a personality. Minute scratches unnoticed by the heedless adult world lent variety of expression: slight irregularities infused certain groups with an air of deliberate consultation. From the four corners royal bars, crowned with brass, dominated their subjects. Passions, intrigues, rumours, ambitions, revenges were perceived by Michael to be seething below the rigid exterior of these iron bars: even military operations were sometimes discernible. This cot was guarded by a romantic population, with one or two of whose units Michael could willingly have dispensed: one bar in particular, set very much askew, seemed sly and malignant. Michael disliked being looked at by anybody or anything, and this bar had a persistent inquisitiveness which already worried him. ‘Why does he look at me?’ Michael would presently ask, and ‘Nobody wants to look at such an ugly little boy,’ Nurse would presently reply. So one more intolerable question would overshadow his peace of mind. Meanwhile, far below, the tramp of men continued, until suddenly an immense roar filled the room. Some of the bars shivered and clinked, and Michael’s heart nearly stopped. The roar died away only to be succeeded by another roar from the opposite direction. Stella woke up crying. Michael was too deeply frightened so to soothe himself, as he sat clutching the pointed ears of the grey pillow. Stella, feeling that the fretful tears of a sudden awakening were insufficient, set up a bellow of dismay. Michael was motionless, only aware of a gigantic heart that shook him horribly. At last the footsteps of Nurse could be heard, and over them, the quick ‘tut-tut-tuts’ that voiced her irritation.
