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Linear Differential Invariance Under an Operator Related to the Laplace Transformation, Univ. of Michigan, 1940, reprinted from American Journal of Mathematics, vol. 62. (Rainville's Ph.D. thesis.) Intermediate Course in Differential Equations, Chapman & Hall, 1943. Analytic Geometry, with Clyde E. Love, Macmillan, 1955.
Clyde Elton Love (December 12, 1882 – January 31, 1960) was an American contract bridge author and mathematics professor at the University of Michigan, Ann Arbor. [1] He was a native of Bancroft, Michigan and graduated from the University of Michigan in 1905.
There are many alternatives to the classical calculus of Newton and Leibniz; for example, each of the infinitely many non-Newtonian calculi. [1] Occasionally an alternative calculus is more suited than the classical calculus for expressing a given scientific or mathematical idea. [2] [3] [4]
Bridge Squeezes Complete is a book on contract bridge written by Ann Arbor, Michigan-based mathematics professor Clyde E. Love, originally published in 1959. [1] Written in a "dry, mathematical way", [2] it is still considered one of the most important bridge books ever written [3] and the squeeze vocabulary Love invented [4] remains the basis for all discussions of squeezes.
In differential geometry, the radius of curvature, R, is the reciprocal of the curvature. For a curve, it equals the radius of the circular arc which best approximates the curve at that point. For surfaces, the radius of curvature is the radius of a circle that best fits a normal section or combinations thereof. [1] [2] [3]
Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. Originally called infinitesimal calculus or "the calculus of infinitesimals", it has two major branches, differential calculus and integral calculus.
In mathematics, differential calculus is a subfield of calculus that studies the rates at which quantities change. [1] It is one of the two traditional divisions of calculus, the other being integral calculus —the study of the area beneath a curve.
Differential geometry of curves is the branch of geometry that deals with smooth curves in the plane and the Euclidean space by methods of differential and integral calculus. Many specific curves have been thoroughly investigated using the synthetic approach .