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 MorganRelated topics
able algebra anything book close conic course difficulties elementary english find geometry good hard idea knowledge learner master meet need present specific sure taking treatise trigonometry under confines Abel works gauss LaplaceRelated quotes
In hearing of these different possibilities, people sometimes exclaim rashly that there could of course be no thought in a Master's mind of choosing any but that course which most helps humanity - a remark which greater knowledge would have prevented them from making. We should never forget that there are other evolutions in the solar system besides our own, and no doubt it is necessary for the carrying out of the vast plan of the Logos that there should be adepts working on all the seven lines to which we have referred. Surely the choice of the Master would be to go wherever his work was most needed - to place his services with absolute selflessness at the disposal of the Powers in charge of this part of the great scheme of evolution.
Charles Webster Leadbeater
When the moment arrives for taking decisions, facing responsibilities, entering upon sacrifices - decisions which ought to be taken before they are imposed, responsibilities which ought to be welcomed, for the initiative must be secured and the offensive launched - where should we find a man equal to these uncertain and dangerous tasks were it not among men of a superior stamp, men eager for responsibilities? He must indeed be a man who, being deeply imbued with a will to conquer, shall derive from that will (as well as from a clear perception of the only means that lead to victory) the strength to make an unwavering use of the most formidable rights, to approach with courage all difficulties and all sacrifices, to risk everything; even honour - for a beaten general is disgraced for ever.
Ferdinand Foch
This idea is that laws which purport to be statements of what actually occurs are statistical in character as distinct from so-called dynamic laws that are abstract and mathematical, and disguised definitions. Recognition of the statistical nature of physical laws was first effected in the case of gases when it became evident that generalizations regarding the behavior of swarms of molecules were not descriptions or predictions of the behavior of any individual particle. A single molecule is not and cannot be a gas. It is consequently absurd to suppose that a scientific law is about the elementary constituents of a gas. It is a statement of what happens when a large number of such constituents interact with one another under certain conditions.
John Dewey
During my travels, I find a general belief that to turn a Christian is to turn European; to become self-willed, and give up self-restraint, use only foreign cloth, dress oneself in European style and start taking meat and brandy. But I think the fact is, if a person discards his country, his customs and his old connections and manners when he changes his religion, he becomes all the more unfit to gain a knowledge of God. For, a change of religion means really a conversion of the heart. When there is a real conversion, a man's heart grows. But in this country one finds that conversion brings about deep disdain for one's old religion and its followers, i.e., one's old friends and relatives. The next change that takes place is that of dress and manners and behaviour. All that does great harm to the country.
Mahatma Gandhi
1. There is at present in the material world a universal tendency to the dissipation of mechanical energy.
2. Any restoration of mechanical energy, without more than an equivalent of dissipation, is impossible in inanimate material processes, and is probably never effected by means of organized matter, either endowed with vegetable life or subjected to the will of an animated creature.
3. Within a finite period of time past, the earth must have been, and within a finite period of time to come the earth must again be, unfit for the habitation of man as at present constituted, unless operations have been, or are to be performed, which are impossible under the laws to which the known operations going on at present in the material world are subject.
William Thomson