“Understanding the methods of calculus is vital to the creative use of mathematics… Without this mastery the average scientist or engineer, or any other user of mathematics, will be perpetually stunted in development, and will at best be able to follow only what the textbooks say; with mastery, new things can be done, even in old, well-established fields.”

— Richard Hamming

Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)

Adopted from Wikiquote. Last update June 3, 2021. History

Help us to complete the source, original and additional information

Do you have more details about the quote "Understanding the methods of calculus is vital to the creative use of mathematics… Without this mastery the average sci…" by Richard Hamming?

Richard Hamming photo

Richard Hamming90

American mathematician and information theorist 1915–1998

Related quotes

“Besides a mathematical inclination, an exceptionally good mastery of one's native tongue is the most vital asset of a competent programmer.”

Edsger W. Dijkstra (1930–2002) Dutch computer scientist

1970s, How do we tell truths that might hurt? (1975)

“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”

Richard Hamming (1915–1998) American mathematician and information theorist

Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
Context: 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.

“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.”

Richard Hamming (1915–1998) American mathematician and information theorist

Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)

“Only if mathematical rigor is adhered to, can systems problems be dealt with effectively, and so it is that the systems engineer must, at least, develop an appreciation for mathematical rigor if not also considerable mathematical competence.”

A. Wayne Wymore (1927–2011) American mathematician

Source: A Mathematical Theory of Systems Engineering (1967), p. 3.

“Even the simplest calculation in the purest mathematics can have terrible consequences. Without the invention of the infinitesimal calculus most of our technology would have been impossible. Should we say therefore that calculus is bad?”

Stanislaw Ulam (1909–1984) Polish-American mathematician

Source: Adventures of a Mathematician - Third Edition (1991), Chapter 11, The 'Super', p. 222

“In all engineering disciplines nowadays, software engineering excluded, there exists an established engineering process to develop a system, which is accompanied by a number of suited modeling description techniques. Software engineering, being a rather new field, has not as yet established any clear methodical guidance or a fully standardized modeling notation.”

Bernhard Rumpe (1967) German computer scientist

Source: Executable Modeling with UML. A vision or a Nightmare (2002), p. 697

“Not to go on for ever repeating what man has already done is our work, but to arrive at new realisations and undreamed-of masteries. Time and soul and world are given us for our field, vision and hope and creative imagination stand for our prompters, will and thought and labour are our all-effective instruments.”

Sri Aurobindo (1872–1950) Indian nationalist, freedom fighter, philosopher, yogi, guru and poet

Thoughts and Glimpses (1916-17)

“Only repetition with a goal in mind can truly lead to mastery. Sometimes you can keep rehearsing without learning anything new.”

Mwanandeke Kindembo (1996) Congolese author

“If the system exhibits a structure which can be represented by a mathematical equivalent, called a mathematical model, and if the objective can be also so quantified, then some computational method may be evolved for choosing the best schedule of actions among alternatives. Such use of mathematical models is termed mathematical programming.”

George Dantzig (1914–2005) American mathematician

Source: Linear programming and extensions (1963), p. 2

“The methods of mathematics are the main topic of the course, not a long list of finished mathematical results with such highly polished proofs that the poor student can only marvel at the results, with no hope of understanding how mathematics is actually created by practicing mathematicians.”

Richard Hamming (1915–1998) American mathematician and information theorist

Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)

Related topics