IN FAVOUR OF THE GENERAL ADOPTION, IN SCHOOLS, AS A BRANCH OF MERCANTILE EDUCATION, OF THE CHAIN RULE. "THE object of this little Treatise is to reduce the Chain Rule to a general and intelligible shape; to explain its utility in reference to complicated calculations; presenting a combination of cause, effect, time, &c.; and to illustrate its value and facilitate its employment, by numerous examples, extending from the simplest up to the most difficult problems. All this is clearly and effectu. ally accomplished by M. SCHÖNBERG, Whose useful Manual may be recommended, not merely for the use of schools, but of counting houses."-Atlas. "The Chain Rule' is a simple, easy, and clever system of arithmetical computation, only requiring to be known to be generally adopted. The linking together and working out are exceedingly curious: as an amusing as well as a most useful study we strongly recommend the Chain Rule' as arranged and applied by Mr. Schönberg."-Literary Gazette. "A very simple and useful manual of brief commercial arithmetic; there are problems belonging to Proportion and Involution that seem to defy any short, clear, and precise method of calculation; but examine the Chain Rule,' and adopt its system, and any one may do with perfect exactness what he before, perhaps, deemed impossible but by an expert accountant."-Monthly Review. "This is a plan which, facilitating the working of the most difficult, as well as the ordinary arithmetical questions, must be welcome to every counting-house in the kingdom. We can have no doubt of its only requiring to be known to be popular among men of business."-Morning Advertiser. "The great virtue of early arithmetical studies consists in the exercise which they give to the reasoning faculties; and the minute thesis and its accompanying solution, known by the name of a sum,' is the best test of youthful powers. The subtlest, therefore, but the plainest method, by which an arithmetical question can be worked out, should assuredly be that adopted, according to the greater degree that it tends to improve and sharpen the capacity. This is the object of Mr. Schönberg's 'Chain Rule.' On ex amination it appears to us to possess much advantage over the ordinary means of calculation. Agreeably with its name, the links of the process, as adduced by the Chain Rule,' are clearly seen, and the sequences of cause, effect, and time involved in the numeration in hand, are traced by the mind of the student, in a manner which cannot fail of causing a perspicuous understanding of the same. This principle of linking is its great and excellent feature. The examples given by Mr. Schönberg in his valuable little manual, amply evince the universality of its use."-Sun. "A simple and explicit introduction to the practice of a short, exact, and effectual mode of calculation, which is not so generally known as its utility deserves."-Spectator. "This is a very useful little manual for clerks and those who wish to acquire a practical knowledge of commercial arithmetic in its most improved forms. We were not aware that complicated Involutions in arithmetic could be reduced so easily and rapidly to popular simplicity."-Scotsman. "Mr. Schönberg, whose versatility and talent are beyond dispute, has, in the short space of seventy-two pages-in our opinion -contributed something to arithmetical science. Every one who wishes well to the interests of education, will hail this attempt at simplification and brevity with a delight proportionate to the value he attaches to the theory and practice of calculations. We ourselves will recommend the study of it to all our friends, persuaded as we are of its great importance and undoubted practicability."British Queen. "This is an attempt, and we hope it will prove a successful one, to induce persons in business, who are necessarily engaged in frequent arithmetical calculations, to adopt for their solution the brief method long known on the Continent as the Chain Rule, in place of the cumbersome arrangements of figures generally taught in schools, and afterwards perpetuated in active life. The 'Chain Rule' is the simplest known form of arithmetic, is of easy application to every kind of calculation connected with commerce and trade, and the explanations given by Mr. Schönberg will materially assist those who may be desirous to become acquainted with its powers."-Polytechnic Journal. |