When Least Is Best
Paul J. Nahin
Links auf reinlesen.de sind sogenannte Affiliate-Links. Wenn du auf so einen Affiliate-Link klickst und über diesen Link einkaufst, bekommt reinlesen.de von dem betreffenden Online-Shop oder Anbieter eine Provision. Für dich verändert sich der Preis nicht.
Naturwissenschaften, Medizin, Informatik, Technik / Geometrie
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.
Logarithm, Scientific notation, Surface area, Iteration, Cambridge University Press, Differential calculus, Ray (optics), Sign (mathematics), Pierre de Fermat, Parabola, Physicist, Trigonometric functions, Calculation, Projectile, Equation, Fermat's principle, Newton's method, Hyperbolic function, Refraction, Result, Chain rule, Square root, Rectangle, Honeycomb conjecture, Line (geometry), Regiomontanus, Cartesian coordinate system, Pythagorean theorem, Catenary, Summation, Special case, Addition, Change of variables, Convex function, Linear programming, Variable (mathematics), Clockwise, Illustration, Line segment, Refractive index, Equilateral triangle, Curve, Vertex angle, Inequality of arithmetic and geometric means, Isoperimetric problem, Arc (geometry), Simplex algorithm, Tangent, Length, Mathematical maturity, Semicircle, Real number, Science, Mathematics, AP Calculus, Cylinder (geometry), Circumference, Coordinate system, Mathematician, Elementary function, Writing, Geometry, Mathematical problem, Fluxion, Johann Bernoulli, Central angle, Philosopher, Simple algebra, Perimeter, Almost surely, Jensen's inequality, Right triangle, Polygon, Potential energy, Kinetic energy, Partial derivative, Snell's law, Cycloid, Derivative, Princeton University Press, Differential equation, Integer, Requirement, Second derivative, Notation, Diameter, Quadratic equation, Dynamic programming, American Mathematical Monthly, Quadratic formula, Hypotenuse, Euler–Lagrange equation, Right angle, Dimension, Quantity, Pumping station, Polynomial, Maxima and minima, Parametric equation, Instant