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The classic book that shares the enjoyment of mathematics with readers of all skill levelsWhat is so special about the number 30? Do the prime numbers go on forever? Are there more whole numbers than even numbers? The Enjoyment of Math explores these and other captivating problems and puzzles, introducing readers to some of the most fundamental ideas in mathematics. Written by two eminent mathematicians and requiring only a background in plane geometry and elementary algebra, this delightful book covers topics such as the theory of sets, the four-color problem, regular polyhedrons, Euler’s proof of the infinitude of prime numbers, and curves of constant breadth. Along the way, it discusses the history behind the problems, carefully explaining how each has arisen and, in some cases, how to resolve it. With an incisive foreword by Alex Kontorovich, this Princeton Science Library edition shares the enjoyment of math with a new generation of readers.
Mathematics --- Mathematical recreations. --- Mathematical puzzles --- Number games --- Recreational mathematics --- Recreations, Mathematical --- Puzzles --- Scientific recreations --- Games in mathematics education --- Magic squares --- Magic tricks in mathematics education --- Arbitrarily large. --- Arithmetic. --- Big O notation. --- Binomial theorem. --- Bonse's inequality. --- Circumference. --- Coefficient. --- Combination. --- Complete theory. --- Computation. --- Coprime integers. --- Diameter. --- Divisor. --- Equilateral triangle. --- Euler's formula. --- Euler's theorem. --- Exterior (topology). --- Factorial. --- Factorization. --- Fermat's Last Theorem. --- Fermat's theorem. --- Fourth power. --- Fractional part. --- Geometric mean. --- Geometric series. --- Geometry. --- Hypotenuse. --- Integer factorization. --- Intersection (set theory). --- Irrational number. --- Line segment. --- Logarithm. --- Long division. --- Mathematical induction. --- Mathematics. --- Metric space. --- Natural number. --- Non-Euclidean geometry. --- Number theory. --- Parallelogram. --- Parity (mathematics). --- Pedal triangle. --- Perfect number. --- Polyhedron. --- Power of 10. --- Prime factor. --- Prime number theorem. --- Prime number. --- Prime power. --- Pure mathematics. --- Pythagorean theorem. --- Rational number. --- Rectangle. --- Regular polygon. --- Regular polyhedron. --- Remainder. --- Reuleaux triangle. --- Rhomboid. --- Rhombus. --- Right angle. --- Right triangle. --- Scientific notation. --- Sign (mathematics). --- Special case. --- Straightedge. --- Summation. --- Theorem. --- Transfinite number. --- Variable (mathematics). --- Waring's problem.
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An essential guide to recognizing bogus numbers and misleading dataNumbers are often intimidating, confusing, and even deliberately deceptive-especially when they are really big. The media loves to report on millions, billions, and trillions, but frequently makes basic mistakes or presents such numbers in misleading ways. And misunderstanding numbers can have serious consequences, since they can deceive us in many of our most important decisions, including how to vote, what to buy, and whether to make a financial investment. In this short, accessible, enlightening, and entertaining book, leading computer scientist Brian Kernighan teaches anyone-even diehard math-phobes-how to demystify the numbers that assault us every day.With examples drawn from a rich variety of sources, including journalism, advertising, and politics, Kernighan demonstrates how numbers can mislead and misrepresent. In chapters covering big numbers, units, dimensions, and more, he lays bare everything from deceptive graphs to speciously precise numbers. And he shows how anyone-using a few basic ideas and lots of shortcuts-can easily learn to recognize common mistakes, determine whether numbers are credible, and make their own sensible estimates when needed.Giving you the simple tools you need to avoid being fooled by dubious numbers, Millions, Billions, Zillions is an essential survival guide for a world drowning in big-and often bad-data.
Numbers, Complex. --- Data mining. --- Algorithmic knowledge discovery --- Factual data analysis --- KDD (Information retrieval) --- Knowledge discovery in data --- Knowledge discovery in databases --- Mining, Data --- Database searching --- Complex numbers --- Imaginary quantities --- Quantities, Imaginary --- Algebra, Universal --- Quaternions --- Vector analysis --- A picture is worth a thousand words. --- AARP. --- American Medical Association. --- Approximation. --- Arithmetic mean. --- Arithmetic. --- Associated Press. --- Baby boomers. --- Back-of-the-envelope calculation. --- Barrel (unit). --- Birth rate. --- Blogger (service). --- Body surface area. --- Breast cancer. --- Calculation. --- Celsius. --- Centenarian. --- Computation. --- Consumer Reports. --- Corporate tax. --- Correlation does not imply causation. --- Daniel Kahneman. --- Darrell Huff. --- Dilbert. --- Dot-com bubble. --- Economics. --- Edward Tufte. --- Error. --- Estimation. --- Exabyte. --- Exponential growth. --- FLOPS. --- Factoid. --- Fermi problem. --- Gigabyte. --- Half Gone. --- Headline. --- Hectare. --- Home computer. --- How to Lie with Statistics. --- Hulu. --- Identity theft. --- Inception. --- Inflation. --- Innumeracy (book). --- Jeff Bezos. --- John Maynard Keynes. --- Just in case. --- Kilobit. --- Kilogram. --- Life expectancy. --- Little's law. --- Millionth. --- Mortality rate. --- My Local. --- Naomi Wolf. --- National Rifle Association. --- Net worth. --- Newspaper. --- Newsweek. --- Nobel Prize. --- Order of magnitude. --- Outright. --- Percentage point. --- Percentage. --- Petabit. --- Petabyte. --- Population growth. --- Pound sterling. --- Power of 10. --- Quadrillion. --- Quantity. --- Ranking (information retrieval). --- Result. --- Round number. --- Rule of 72. --- Sampling bias. --- School bus. --- Scientific notation. --- Square foot. --- Square yard. --- Strategic Petroleum Reserve (United States). --- Tax cut. --- Tax. --- Technology. --- Terabit. --- The Beauty Myth. --- The Colbert Report. --- The New York Times. --- The Wisdom of Crowds. --- The World's Billionaires. --- U.S. News & World Report. --- Ultra-high-definition television. --- Unemployment. --- W. E. B. Du Bois. --- Warren Buffett. --- With high probability. --- Year. --- Your Computer (British magazine). --- Zettabyte. --- Mathematics --- Mathematics in mass media --- Critical thinking --- Statistics --- Big data --- Million (The number) --- Billion (The number) --- Evaluation --- Methodology
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