For over three centuries, Isaac Newton’s method has been a cornerstone of applied mathematics, its influence felt across diverse fields. From finance and logistics to physics and the cutting edge of ...

Newton's Method is a technique for approximating a root to an equation of the form \(f(x)=0\). What is required is an initial estimate for the root, called \(x_1 ...

The circumference of a sphere is measured to be 24 cm, with a possible error of 0.25 cm. Use the differential \(dV\) to estimate the maximum error in the calculated ...

Isaac Newton did not just invent calculus and rewrite physics, he also tried to calculate the end of the world with the same cool confidence he brought to falling apples and planetary orbits. In ...

Mathematics of Computation, Vol. 26, No. 117 (Jan., 1972), pp. 145-166 (22 pages) The Davidon formula and others of the "quasi-Newton" class, which are used in the unconstrained minimization of a ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...