Leseprobe
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Nonplussed!
Julian Havil
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
Math—the application of reasonable logic to reasonable assumptions—usually produces reasonable results. But sometimes math generates astonishing paradoxes—conclusions that seem completely unreasonable or just plain impossible but that are nevertheless demonstrably true. Did you know that a losing sports team can become a winning one by adding worse players than its opponents? Or that the thirteenth of the month is more likely to be a Friday than any other day? Or that cones can roll unaided uphill? In Nonplussed!—a delightfully eclectic collection of paradoxes from many different areas of math—popular-math writer Julian Havil reveals the math that shows the truth of these and many other unbelievable ideas.
Nonplussed! pays special attention to problems from probability and statistics, areas where intuition can easily be wrong. These problems include the vagaries of tennis scoring, what can be deduced from tossing a needle, and disadvantageous games that form winning combinations. Other chapters address everything from the historically important Torricelli's Trumpet to the mind-warping implications of objects that live on high dimensions. Readers learn about the colorful history and people associated with many of these problems in addition to their mathematical proofs.
Nonplussed! will appeal to anyone with a calculus background who enjoys popular math books or puzzles.
Kundenbewertungen
Apollo 13, Integer, Scientific notation, Equilateral triangle, Error function, Gabriel's Horn, Magic square, Probability, Leap year, Prime number, Circles of Apollonius, Epistle, Theory, Surface area, Result, Quarry, Gregorian calendar, Rectangle, Shrove Tuesday, Power of two, Geometry, Probability and statistics, Nontransitive dice, Maundy Thursday, Easter, Treatise, Hypersphere, Julian calendar, Summation, Highway, Polynomial, Enthusiasm, Logarithmic spiral, Elementary algebra, Combination, Pursuit curve, Gamma function, Integration by parts, Digamma function, Universally unique identifier, Natural number, Flatland, Cavalieri's principle, Diagram (category theory), Adoption of the Gregorian calendar, Coordinate system, Curse of dimensionality, Intersection (set theory), Arc length, Notation, Martin Gardner, Mathematics, Triskaidekaphobia, FRACTRAN, Hyperbola, Calculation, Computation, Complex number, Birthday problem, Lewis Carroll, Month, Geometric probability, Algorithm, Wine glass, Dimension, Derangement, Hypercube, Mathematician, Requirement, Diagram