![In 1858 he was selected by [the British Association] to prepare a report upon the Theory of Numbers. It was prepared in five parts, extending over the years 1859-1865. It is neither a history nor a treatise, but something intermediate. The author analyzes with remarkable clearness and order the works of mathematicians for the preceding century upon the theory of congruences, and upon that of binary quadratic forms. He returns to the original sources, indicates the principle and sketches the course of the demonstrations, and states the result, often adding something of his own. The work has been pronounced to be the most complete and elegant monument ever erected to the theory of numbers, and the model of what a scientific report ought to be. (Henry John Stephen Smith)](https://cdn.quotesdtb.com/img/quotes_images_webp/37/henry-john-stephen-smith-1015037.webp)
In 1858 he was selected by [the British Association] to prepare a report upon the Theory of Numbers. It was prepared in five parts, extending over the years 1859-1865. It is neither a history nor a treatise, but something intermediate. The author analyzes with remarkable clearness and order the works of mathematicians for the preceding century upon the theory of congruences, and upon that of binary quadratic forms. He returns to the original sources, indicates the principle and sketches the course of the demonstrations, and states the result, often adding something of his own. The work has been pronounced to be the most complete and elegant monument ever erected to the theory of numbers, and the model of what a scientific report ought to be.
Henry John Stephen SmithRelated topics
association author binary british century clearness complete course five history intermediate model monument nor numbers order original ought prepare principle quadratic report result something theory treatise work works years parts returns statesRelated quotes
June 7, 1776, Richard Henry Lee, on behalf of the Virginia delegation, submitted to the Continental Congress three resolutions, of which the first declared that "these United Colonies are, and of right ought to be, free and independent States, that they are absolved from all allegiance to the British Crown, and that all political connection between them and the State of Great Britain is, and ought to be, totally dissolved. This resolution, which may conveniently be called the Resolution of Independence, was finally voted by the Continental Congress on the 2 of July, 1776. Strictly speaking, this was the official declaration of independence; and if we were a nation of antiquaries we should no doubt find an incongruity in celebrating the anniversary of our independence on the 4 of July.
Carl L. Becker
In the course of my inquiries, I met with the work upon the Trinity, by Dr. Samuel Clarke. This I carefully examined, and although very far from being satisfied, I ceased from further inquiry. This change arose probably from my having acquired the much more valuable work of the same author, on the Being and Attributes of God. This I studied, and felt that its doctrine was much more intelligible and satisfactory than that of the former work. I may now state, as the result of a long life spent in studying the works of the Creator, that I am satisfied they afford far more satisfactory and more convincing proofs of the existence of a supreme Being than any evidence transmitted through human testimony can possibly supply.
Charles Babbage
... an undercurrent of thought was going on in my mind which gave at last a result, whereof it is not too much to say that I felt at once the importance. An electric circuit seemed to close; and a spark flashed forth the herald (as I foresaw immediately) of many long years to come of definitely directed thought and work by myself, if spared, and, at all events, on the part of others if I should even be allowed to live long enough distinctly to communicate the discovery. Nor could I resist the impulse - unphilosophical as it may have been - to cut with a knife on a stone of Brougham Bridge, as we passed it, the fundamental formula which contains the Solution of the Problem, but of course, as an inscription, has long since mouldered away.
William Rowan Hamilton
My specific... object has been to contain, within the prescribed limits, the whole of the student's course, from the confines of elementary algebra and trigonometry, to the entrance of the highest works on mathematical physics. A learner who has a good knowledge of the subjects just named, and who can master the present treatise, taking up elementary works on conic sections, application of algebra to geometry, and the theory of equations, as he wants them, will, I am perfectly sure, find himself able to conquer the difficulties of anything he may meet with; and need not close any book of Laplace, Lagrange, Legendre, Poisson, Fourier, Cauchy, Gauss, Abel, Hindenburgh and his followers. or of any one of our English mathematicians, under the idea that it is too hard for him.
Augustus De Morgan
These reminiscences are neither history, biography nor a diary, although they comprise something of each of these categories. What is presented is far from a complete account even of all of the incidents in which I had a part, but merely my recollections of events, refreshed by a reference to my own memoranda and a free use of staff studies and historical records made under my direction and supervision. It may assist the future historian when he seeks to account for the motives and reasons which influenced some of the actions in the great drama of war. It is also my hope that it will prove of some interest to the rising generations, who may learn thereform that a country and government such as ours is worth fighting for, and dying for, if need be.
Douglas MacArthur
