How many possible sudoku puzzles are there? In the lottery, what is the chance that two winning balls have consecutive numbers? Who invented Pascal's triangle? (it was not Pascal) Combinatorics, the branch of mathematics concerned with selecting, arranging, and listing or counting collections of objects, works to answer all these questions. Dating back some 3000 years, and initially consisting mainly of the study of permutations and combinations,

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Measurement is a fundamental concept that underpins almost every aspect of the modern world. It is central to the sciences, social sciences, medicine, and economics, but it affects everyday life. We measure everything - from the distance of far-off galaxies to the temperature of the air, levels of risk, political majorities, taxes, blood pressure, IQ, and weight. The history of measurement goes back to the ancient world, and its story has been one...

INSTANT NEW YORK TIMES BESTSELLER "Vaclav Smil is my favorite author." Bill Gates "How the World Really Works represents the highly readable distillation of this lifetime of scholarship Mr. Smil looks over the horizon of the future with humility and calmness, foreseeing 'a mixture of progress and setbacks, of seemingly insurmountable difficulties and near-miraculous advances.' Wall Street Journal An essential analysis of the modern science and technology...

"Math is universal, but it's also the least understood and most undervalued subject taught in school. Two Trains Leave Paris: Number Problems for Word People seeks to offer readers an opportunity to experience math like never before. You must use the Pythagorean Theorem to figure out how far apart two ex-lovers are when they simultaneously realize that they cannot live without each other. You must use addition (and logic) to explore the ridiculous...

This book won't overwhelm you with endless drills. Instead, it offers an original, step-by-step approach to learning math. The book will first introduce you to essential math concepts-allowing you to grasp the subject almost immediately. You will gradually progress to more challenging skills. Along the way, you will learn how to solve practical problems using clear, step-by-step instructions. Exercises for each section, with detailed, worked-out solutions,...

An inclusive vision of mathematics-its beauty, its humanity, and its power to build virtues that help us all flourish. For mathematician Francis Su, a society without mathematical affection is like a city without museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a diverse audience but especially for those disenchanted by their past experiences, an award-winning...

Astrophysicist Mario Livio, along with a colorful cast of mathematicians, physicists, and engineers, follow math from Pythagoras to Einstein and beyond, all leading to the ultimate riddle: Is math an invention or a discovery? Humankind₂s clever trick, or the language of the universe? Join Nova for a mathematical mystery tour, a provocative exploration of math₂s astonishing power across the centuries.

Forget your classroom nightmares and discover how numbers can enhance your world How can math help you bet on horses or win in Vegas? What's the foolproof way to solve Sudoku? How can probability teach you to calculate your chances of survival in Russian roulette? In this irreverent and entertaining guide to mathematics, Lawrence Potter takes the fear out of everything from long division to percentages. Using fascinating puzzles and surprising examples,...