By Lester R Ford. (Prepared and published by direction of the Chief of Field Artillery.) Field Artillery Central Officers' Training School, Camp Zachary Taylor, Kentucky (Instruction Memo. No. 20). Louisville, Kentucky (Courier Journal Press, 1919). 72 pages. The following review by Albert A Bennett, University of Texas, is interesting both in its own right and also for what it tells us of Ford's course:

The war presented an exceptional although fleeting opportunity to emphasize the fundamental necessity of mathematics in the technical equipment of the individual. This was most conspicuous perhaps in the case of artillery and naval units. The student officer was required to learn and use many mathematical ideas that he had never acquired, or had frequently long forgotten. The result at least in many of the training camps was rather pitiable. The instructors themselves usually knew the formulas, but not the reasoning, and blind confusion was the rule rather than the exception among the students. In the S.A.T.C. program, the situation was nearly as bad. Even had classes not been interrupted, the students would never have acquired many of the essentials, for two reasons: much of the time was spent with unnecessary details, and again the instructors were not prepared in many cases to give what was needed. They did not know what concepts were employed, what problems were to be faced, and frequently what were the mathematical facts of the subjects even were these named. Such terms as mil, grad, deflection, azimuth, dispersion diagram, probable error, centre of impact, nomogram, or alignment chart ' meant little or nothing to many college instructors in mathematics, while most college graduates could not approximate a square root by the algorithm, determine visibility on a map with the contour lines given, interpolate with second differences, and the like. But all of these things had to be taught, not to a few only but to many. Not having been given even in a college course, these topics had to be learned from men of action rather than teachers, from soldiers who had never been concerned with mathematical theory.
It was in the face of an emergency of this sort that the present pamphlet was prepared and issued, and although the military urgency has passed there is much suggestiveness in this little textbook, for the teacher of collegiate mathematics. The reviewer has learned that "about 15,000 students took the course in the three months prior to the signing of the armistice. The staff of instructors, recruited chiefly from the candidates who had mathematical training, was ordinarily well over a hundred, and at one time numbered as many as one hundred sixtynine."
This pamphlet comprises sections entitled "arithmetic," "algebra," "geometry," "trigonometry," "approximate methods," "coordinates," "aids to calculation," and "probability," and has also an appendix of tables.
In the section on arithmetic the most interesting features emphasized are the conversion of metric into English units and vice versa, various units of angular measure, mil, grad, degree, the process of extracting the square root, and interpolation. The algebra and geometry sections cover customary topics; the geometry section is particularly rich in theorems, but many of the proofs are omitted. Under trigonometry, seven pages altogether, the sine, cosine, tangent, and cotangent are mentioned, but not the secant or cosecant. The law of sines and the law of cosines are derived and applied, but triangles with three sides given are not discussed and the law of tangents is not mentioned. Under "aids to calculation," logarithms, the slide rule, and a nomographic logarithmic table are explained. Under the topic of probability, the probability curve and the dispersion diagram are illustrated and applied. The tables are to four decimal places, and comprise (I) square roots of numbers, (II) logarithms of numbers, (III) natural trigonometric tablesmils, (IV) logarithmic trigonometric tables  mils, (V) natural and logarithmic tables  degrees.
This memorandum as an official publication contains of course neither preface nor introduction, but was obviously written with a single purpose in viewto serve as a text in teaching the field artillery officer the mathematics he must know. No topic that is necessary is omitted on account of its difficulty, nor is any topic of clearly minor importance for this object introduced because of its symmetry or historical interest. Nearly every problem mentioned in the exercises bears on its face the answer to the common query, "But why must I study this?" The work is written for adults, and is so condensed as to serve well for a reference book and source of problems but scarcely as a guide for self instruction of the mentally deficient. From a logical point of view, the book is surprisingly satisfactory. The definitions are clear and cover the terms used, the arrangement is progressive, where proofs are omitted there is no attempt to conceal the fact, processes are always explained in general terms, as well as applied to numerical examples, emphasis is placed on the operations used rather than on formulasin short the book is written by a mathematician. In his experience in teaching from American text books designed for standard first yearcollege courses, the reviewer has seldom found a treatment with so few logically objectionable elements; of the numerous mathematical memoranda he has seen, used in the army training schools, this is the first which shows ease and clarity of treatment.
A few of the exercises may be cited:
Note. This is the method used by sailors in "doubling the angle on the bow."
Note. This is the method of " Italian Resection " used to locate a position with a plane table.
The URL of this page is:
http://wwwhistory.mcs.standrews.ac.uk/Extras/Ford_Artillery.html