60 quotes
Continuous distributions are basic to the theory of probability and statistics, and the calculus is necessary to handle them with any ease.
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
It is not easy to become an educated person.
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
Probability and statistics are now so obviously necessary tools for understanding many diverse things that we must not ignore them even for the average student.
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
If you expect to continue learning all your life, you will be teaching yourself much of the time. You must learn to learn, especially the difficult topic of mathematics.
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
Transmission through space (typically signaling) is the same as transmission through time (storage).
The Art of Doing Science and Engineering: Learning to Learn (1991)
We must not forget, in all the enthusiasm for computer simulations, occasionally we must look at Nature as She is.
The Art of Doing Science and Engineering: Learning to Learn (1991)
Euclid's postulates came from the Pythagorean theorem, not the other way around.
The Unreasonable Effectiveness of Mathematics (1980)
He who works with the door open gets all kinds of interruptions, but he also occasionally gets clues as to what the world is and what might be important.
You and Your Research (1986)
Education is what, when, and why to do things. Training is how to do it. Either one without the other is not of much use.
The Art of Doing Science and Engineering: Learning to Learn (1991)
In the long run, the methods are the important part of the course. It is not enough to know the theory; you should be able to apply it.
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
Theorems... record more complex patterns of thinking that once shown to be valid need not be repeated every time they are needed.
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
Rigor is not a yes-no property of a proof... it is a vague standard of careful treatment that is currently acceptable to a particular group.
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
Faced with almost an infinity of details you cannot afford to deal constantly with the specific; you must learn to embrace more and more detail under the cover of generality.
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
All of engineering involves some creativity to cover the parts not known, and almost all of science includes some practical engineering to translate the abstractions into practice.
The Art of Doing Science and Engineering: Learning to Learn (1991)
A central problem in teaching mathematics is to communicate a reasonable sense of taste—meaning often when to, or not to, generalize, abstract, or extend something you have just done.
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
The applications of knowledge, especially mathematics, reveal the unity of all knowledge. In a new situation almost anything and everything you ever learned might be applicable, and the artificial divisions seem to vanish.
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
Calculus is the mathematics of change. ...Change is characteristic of the world.
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
It is the same as an art course.
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
No vision, not much of a future.
The Art of Doing Science and Engineering: Learning to Learn (1991)
Often it is not physical limitations... but rather it is human made laws, habits, and organizational rules, regulations, personal egos, and inertia, which dominate the evolution of the future.
The Art of Doing Science and Engineering: Learning to Learn (1991)