Rates of change and derivatives

Karl Menger

A chapter in Selecta Mathematica, 2003, pp 393-406 from Springer

Abstract: Abstract Ever since Lagrange initiated a new epoch in pure analysis by defining the derivative of a function, the logical clarity of applied mathematics has suffered from a confusion of those derivatives with the rate of change of one variable quantity with respect to another. Yet a mere count of the ideas involved in the two concepts clearly demonstrates that the situations studied in pure and in applied mathematics are basically unlike. The derivative associates a function with one function; for instance, the cosine function with the sine function. The rate of change associates a variable quantity with two variable quantities; for instance, the velocity with the distance travelled and the time.

Date: 2003
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7091-6045-9_33

Ordering information: This item can be ordered from
http://www.springer.com/9783709160459

DOI: 10.1007/978-3-7091-6045-9_33

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().