Analysis Quotes - page 14
As it is with the soldier, so it is with the civilian. To win success in the business world, to become a first-class mechanic, a successful farmer, an able lawyer or doctor, means that the man has devoted his best energy and power through long years to the achievement of his ends. So it is in the life of the family, upon which in the last analysis the whole welfare of the nation rests. The man or woman who, as bread-winner and home-maker, or as wife and mother, has done all that he or she can do, patiently and uncomplainingly, is to be honored; and is to be envied by all those who have never had the good fortune to feel the need and duty of doing such work.
Theodore Roosevelt
It must always be borne in mind that each and every individual is not only a producer but a consumer. In the final analysis of our conditions, we have to admit that it is not lack of consumption, but lack of production which is our present economic danger. The immigrant is needed, provided this fact is overcome, provided supply-whether in schools, in homes, or in shoes-does not fall behind demand. The public could today consume much more of the necessities of food, shelter and clothing than they are able to procure or have ever been able to procure in a country where the standard of living is so high. If, through cheap labor, and an increased willingness on the part of alien labor to live on the edge of existence, these standards are threatened, then is the time to bring legislative action to bear on the situation.
Calvin Coolidge
There are two general Methods made use of in the Mathematicks, viz. Synthesis and Analysis, which we shall explain, after having acquainted the Reader, that the Method we make use of to resolve a Mathematical Problem, is called Zetetick; and that that Method which determines when, and by what way, and how many different ways a Problem may be resolved, is called Poristick. But in treating of Methods, we will first premise, that in general, a Method is the Art of disposing a Train of Arguments or Consequences in a right Order, either to discover the Truth of a Theorem, which we would find out, or to demonstrate it to others, when found.
Jacques Ozanam
The physicist needs a facility in looking at problems from several points of view. The exact analysis of real physical problems is usually quite complicated, and any particular physical situation may be too complicated to analyze directly by solving the differential equation. But one can still get a very good idea of the behavior of a system if one has some feel for the character of the solution in different circumstances. Ideas such as the field lines, capacitance, resistance, and inductance are, for such purposes, very useful. ... On the other hand, none of the heuristic models, such as field lines, is really adequate and accurate for all situations. There is only one precise way of presenting the laws, and that is by means of differential equations. They have the advantage of being fundamental and, so far as we know, precise. If you have learned the differential equations you can always go back to them. There is nothing to unlearn.
Richard Feynman