Volumes

George McCarty
Additional contact information
George McCarty: University of California

Chapter 9 in Calculator Calculus, 1982, pp 117-129 from Springer

Abstract: Abstract In his Mathematical Thought from Ancient to Modern Times (see Bibliography) Morris Kline describes the four major types of problems that led to the creation of the calculus. These are the problems of calculating: (i) Motion: The distance traveled by an object, its velocity, its acceleration, and the relationships between these quantities. (ii) Tangents: The tangents to curves and to solids. These were needed in geometry, and they were also useful in optics and in the study of motion. (iii) Extremes: Maxima and minima for various functions. Notably, Galileo (1564–1642) found the correct angle (π/4) to fire a cannon for maximal range. (iv) Lengths, areas, and volumes: The distance traveled by a planet around the sun, areas bounded by curves, volumes bounded by curved surfaces, centers of gravity, and total gravitational attraction of a body.

Keywords: Correct Angle; Outer Estimate; Circular Cone; Theoretical Volume; Height Time (search for similar items in EconPapers)
Date: 1982
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:978-1-4684-6484-9_9

Ordering information: This item can be ordered from
http://www.springer.com/9781468464849

DOI: 10.1007/978-1-4684-6484-9_9

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 ().