Numerical tables of mathematical functions are in continual demand by scientists and engineers for preliminary surveys of problems before programming for computing machines. This handbook was designed to provide scientific investigators with a comprehensive and self-contained summary of the mathematical functions that arise in physical and…

Presents calculations after discussing exponential growth that deal with the determination of the time of exhaustion at different rates of consumption. (PR)

College investment policy concerning the mix of stocks and bonds in the endowment portfolio has been made far too complicated. Except for unusual circumstances, the equity (common stocks) percentage should be very high. Total investment in equities will generate enormous differences in endowment fund value over a long period of time. (MSE)

Results of operations on the Pythagorean formula are interpreted pictorially to yield interesting art forms. (MP)

Problems which can be solved or partially solved by the Gregory Interpolation Formula are presented. The formula is explained and applied to three problems. (MNS)

An algorithm for multiplying natural numbers is described. The algorithm provides a chance for some unusual drill and might serve as an enrichment topic. (MK)

Illustrated is the use of isometric graph paper in the discovery of nonstandard area formulas. The use of definitions, geometric construction, record keeping, and conjectures about triangles, rhombuses, hexagons, parallelograms, isosceles trapezoids, rectangles, and trapezoids are described. (YP)

Illustrates how Lagrange's approach applies to the differential calculus of polynomial functions when approximations are obtained. Discusses how to obtain polynomial approximations in other cases. (YP)

Presents a theorem and its converse to generate all of the primitive Pythagorean quadruples. Provides a BASIC program generating them. (YP)

Discusses numerical methods to compute approximate solutions of a differential equation. Provides a Pascal program for the extended Euler-Heun method. (YP)

Discusses a numerical technique called the method of adjoints, turning a linear two-point boundary value problem into an initial value problem. Described are steps for using the method in linear or nonlinear systems. Applies the technique to solve a simple pendulum problem. Lists 15 references. (YP)

Develops the formulas for the sum of the numbers from 1 to n and for the squares of the numbers from 1 to n geometrically by utilizing the formulas for the area of a triangle and the volume of a pyramid. (MDH)

The density and Monte Carlo methods for approximating the area under a curve, without relying on calculus, are given. A computer program is included. (MNS)

Five approaches to grading student tests are described and their advantages and limitations are examined. It is suggested that the fifth approach, which takes into account the general ability level of the class and applies predetermined percentages to determine the number of students receiving each grade, is the most rational approach. (JMD)

An example is presented that can be used to introduce the study of limits of sequences through recursive formulas yielding square roots. (MP)