26 quotes
The calculus is probably the most useful single branch of mathematics. ...I have found the ability to do simple calculus, easily and reliably, was the most valuable part of mathematics I ever learned.
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
We do not always know what we are talking about. ...Troubles... can be made to arise whenever what is being said includes itself—a self-referral situation.
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
Probability is the mathematics of uncertainty. ...many modern theories have uncertainty built into their foundations. Thus learning to think in terms of probability is essential.
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
The assumptions and definitions of mathematics and science come from our intuition, which is based ultimately on experience. They then get shaped by further experience in using them and are occasionally revised. They are not fixed for all eternity.
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
Probability plays a central role in many fields, from quantum mechanics to information theory, and even older fields use probability now that the presence of "noise" is officially admitted. The newer aspects of many fields start with the admission of uncertainty.
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
It is easy to measure your mastery of the results via a conventional examination; it is less easy to measure your mastery of doing mathematics, of creating new (to you) results, and of your ability to surmount the almost infinite details to see the general situation.
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)