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When Least Is Best

English

By (author): Paul J. Nahin Paul Nahin

A mathematical journey through the most fascinating problems of extremes and how to solve them

What is the best way to photograph a speeding bullet? How can lost hikers find their way out of a forest? Why does light move through glass in the least amount of time possible? When Least Is Best combines the mathematical history of extrema with contemporary examples to answer these intriguing questions and more. Paul Nahin shows how life often works at the extremes—with values becoming as small (or as large) as possible—and he considers how mathematicians over the centuries, including Descartes, Fermat, and Kepler, have grappled with these problems of minima and maxima. Throughout, Nahin examines entertaining conundrums, such as how to build the shortest bridge possible between two towns, how to vary speed during a race, and how to make the perfect basketball shot. Moving from medieval writings and modern calculus to the field of optimization, the engaging and witty explorations of When Least Is Best will delight math enthusiasts everywhere.

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€19.99
A01=Paul J. NahinA01=Paul NahinAdditionAge Group_UncategorizedAlmost surelyArc (geometry)Author_Paul J. NahinAuthor_Paul Nahinautomatic-updateCalculationCartesian coordinate systemCategory1=Non-FictionCategory=PBCategory=PBBCategory=PBCCategory=PBXCatenaryChain ruleChange of variablesCircumferenceClockwiseConvex functionCoordinate systemCOP=United StatesCurveCycloidCylinder (geometry)Delivery_Delivery within 10-20 working daysDerivativeDiameterDifferential calculusDifferential equationDimensionElementary functioneq_isMigrated=2EquationEquilateral triangleEuler–Lagrange equationFermat's principleGeometryHyperbolic functionHypotenuseIllustrationInequality of arithmetic and geometric meansInstantIntegerIsoperimetric problemIterationJensen's inequalityKinetic energyLanguage_EnglishLengthLine segmentLinear programmingLogarithmMathematical problemMathematicianMathematicsMaxima and minimaNotationPA=AvailableParabolaParametric equationPerimeterPierre de FermatPotential energyPrice_€10 to €20PS=ActivePumping stationPythagorean theoremQuadratic equationQuantityRay (optics)Real numberRefractionResultRight triangleScienceScientific notationSnell's lawsoftlaunchSpecial caseSquare rootSummationSurface areaTangentTrigonometric functionsVariable (mathematics)Vertex angle
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Product Details
  • Dimensions: 140 x 216mm
  • Publication Date: 18 May 2021
  • Publisher: Princeton University Press
  • Publication City/Country: US
  • Language: English
  • ISBN13: 9780691218762

About Paul J. NahinPaul Nahin

Paul J. Nahin is the author of many popular math books, including How to Fall Slower Than Gravity and Hot Molecules, Cold Electrons (both Princeton). He is professor emeritus of electrical engineering at the University of New Hampshire.

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