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.

Mathematical Labyrinths. Pathfinding provides an overview of various non-standard problems and the approaches to their solutions. The essential idea is a framework laid upon the reader on how to solve nonconventional problems — particularly in the realm of mathematics and logic. It goes over the key steps in approaching a difficult problem, contemplating a plan for its solution, and discusses set of mental models to solve math problems.The book is not a routine set of problems. It is rather an entertaining and educational journey into the fascinating world of mathematical reasoning and logic. It is about finding the best path to a solution depending on the information given, asking and answering the right questions, analyzing and comparing alternative approaches to problem solving, searching for generalizations and inventing new problems. It also considers as an important pedagogical tool playing mathematical and logical games, deciphering mathematical sophisms, and interpreting mathematical paradoxes.It is suitable for mathematically talented and curious students in the age range 10-20. There are many 'Eureka'- type, out of the ordinary, fun problems that require bright idea and insight. These intriguing and thought-provoking brainteasers and logic puzzles should be enjoyable by the audience of almost any age group, from 6-year-old children to 80-year-old and older adults.

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.

Sports analytics has gathered tremendous momentum as one of the most dynamic fields. Diving deep into the numbers of sports can be game changing or simply a fun exercise for fans. How do you get in the game with numbers? What questions can be explored? What actionable insights can be gleaned?Do you like sports? This book will detail ways to analyze athletics to gain insight that can otherwise be obscured. Like math? You'll find many mathematical topics not involving sports. You'll also see how sports analytics can train you broadly in mathematics.From coaching at the highest levels to national media broadcasts, analytics are becoming increasingly indispensable. Dive into the numbers behind soccer to basketball to baseball to boxing to swimming, dive into the numbers. Learn how to get in the game with sports and mathematics.

David Singmaster believes in the presentation and teaching of mathematics as recreation. When the Rubik's Cube took off in 1978, based on thinly disguised mathematics, he became seriously interested in mathematical puzzles which would provide mental stimulation for students and professional mathematicians. He has not only published the standard mathematical solution for the Rubik's cube still in use today, but he has also become the de facto scribe and noted chronicler of the recreational mathematics puzzles themselves.Dr Singmaster is also an ongoing lecturer of recreational mathematics around the globe, a noted mechanical puzzle collector, owner of thousands of books related to recreational mathematical puzzles and the 'go to' source for the history of individual mathematical puzzles.This set of two books provides readers with an adventure into previously unknown origins of ancient puzzles, which could be traced back to their Medieval, Chinese, Arabic and Indian sources. The puzzles are fully described, many with illustrations, adding interest to their history and relevance to contemporary mathematical concepts. These are musings of a respected historian of recreational mathematics.

This book contains the most interesting problems from the first 24 years of the 'Mathematical Duel', an annual international mathematics competition between the students of four schools: the Gymnázium Mikuláše Koperníka in Bílovec, Czech Republic, the Akademicki Zespół Szkół Ogólnokształcących in Chorzów, Poland, the Bundesrealgymnasium Kepler in Graz, Austria and the Gymnázium Jakuba Škody in Přerov, Czech Republic.The problems are presented by topic, grouped under the headings Geometry, Combinatorics, Number Theory and Algebra, which is typical for olympiad-style competitions.Above all, it is of interest to students preparing for mathematics competitions as well as teachers looking for material to prepare their students, as well as mathematically interested enthusiasts from all walks of life looking for an intellectual challenge.

The art or skill of problem solving in mathematics is mostly relegated to the strategies one can use to solve problems in the field. Although this book addresses that issue, it delves deeply into the psychological aspects that affect successful problem-solving. Such topics as decision-making, judgment, and reasoning as well as using memory effectively and a discussion of the thought processes that could help address certain problem-solving situations.Most books that address problem-solving and mathematics focus on the various skills. This book goes beyond that and investigates the psychological aspects to solving problems in mathematics.

This first report deals with some of the major development issues confronting the developing countries and explores the relationship of the major trends in the international economy to them. It is designed to help clarify some of the linkages between the international economy and domestic strategies in the developing countries against the background of growing interdependence and increasing complexity in the world economy. It assesses the prospects for progress in accelerating growth and alleviating poverty, and identifies some of the major policy issues which will affect these prospects.

Cuisine and Culture presents a multicultural and multiethnic approach that draws connections between major historical events and how and why these events affected and defined the culinary traditions of different societies. Witty and engaging, Civitello shows how history has shaped our diet--and how food has affected history. Prehistoric societies are explored all the way to present day issues such as genetically modified foods and the rise of celebrity chefs. Civitello's humorous tone and deep knowledge are the perfect antidote to the usual scholarly and academic treatment of this universally important subject.

2015 version published on 12/29/14. Need a good way to remember that the word "prodigal" means "wasteful"? Just think ofprada gal - a girl who spends all of her money on designer clothes. Brian McElroy (Harvard, '02) and Vince Kotchian (Boston College, '97), two of San Diego's most sought after test-prep tutors, provide a series of clever, unconventional, and funny memory devices aimed toward helping you to improve your vocabulary and remember words long-term so that you don't ever forget their meanings. Brian and Vince, combined, have been tutoring the test for over 20 years. They have analyzed all available official GRE tests to select the words that appear in this book. The vocabulary words in this book are best suited for students at a 9th-grade level or above. The words in this edition are specifically targeted toward the GRE exam, but they are also helpful for students who are preparing for other standardized tests such as the SAT, ACT, ISEE, SSAT, GMAT, LSAT or MCAT, or anyone at any age who simply wants to improve his/her knowledge of English vocabulary. Disclaimer: a few of our mnemonics might not be appropriate for kids – some contain adult language or situations. Over 950 of the words in this book appear in our other mnemonics book,SAT Vocab Capacity. So if you're easily offended, the SAT version might be a better choice. Why This Book Is Different If you're studying for the GRE, SAT, or for any other standardized test that measures your vocabulary, you may be feeling a little bit anxious – especially if you've taken a practice test and encountered words you didn't know (or maybe never even saw before)! Whether you have seven days or seven months to prepare for the test, you're going to want to boost your vocabulary. But it's not that simple – you've got to remember the words you learn. And on many GRE text completion and sentence equivalence questions, getting the right answer comes down to knowing the precise definition of the words. You could make vocabulary flashcards. You could look up words you don't know. You could read a book with lots of big words. But unless you give your brain a way to hold on to the words you learn, it will probably have a harder time remembering them when they appear on the test. That's the problem with most vocabulary books: the definitions and sentences in the books aren't especially memorable. That's where this book is different. We've not only clearly defined the words but we've also created sentences designed to help you remember the words through a variety of associations - using mnemonics. Mnemonic Examples A mnemonic is just a memory device. It works by creating a link in your brain to something else, so that recall of one thing helps recall of the other. This can be done in many ways – but the strongest links are through senses, emotions, rhymes, and patterns. Consider this example: Quash (verb): to completely stop from happening. Think: squash. The best way to quash an invasion of ants in your kitchen is simple: squash them. Now your brain has a link from the word quash (which it may not have known) to the word squash (which it probably knows). Both words sound and look the same, so it's easy to create a visual and aural link. If you picture someone squashing ants (and maybe get grossed out), you also have another visual link and an emotional link. Here's another example: Eschew (verb): to avoid. Think: ah-choo! Eschew people who say "ah-choo!" unless you want to catch their colds. The word eschew sounds similar to a sneeze (ah-choo!), so your brain will now link the two sounds. If you picture yourself avoiding someone who is about to sneeze in your face, even better! Again, the more connections you make in your brain to the new word, th