Differential Calculus

E. Mahmudov ()
Additional contact information
E. Mahmudov: Istanbul Technical University

Chapter Chapter 4 in Single Variable Differential and Integral Calculus, 2013, pp 107-144 from Springer

Abstract: Abstract In this chapter, important conceptions of mathematical analysis such as derivatives and differentials, and their mechanical and geometrical meanings, are given. Then the concept of the derivative is applied to study the free fall of a mass, linear motion at velocities near the speed of light, and applications in numerical analysis. There are important formulas for derivatives, such as Leibniz’s formula for the derivatives of products of functions. The concept of the derivative is also applied to curvature, conics, and evolvents. These topics are treated both in Cartesian and in polar coordinates. We apply these techniques to geometric objects given explicitly or implicitly, or by parametric equations in either coordinate system.

Date: 2013
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:978-94-91216-86-2_4

Ordering information: This item can be ordered from
http://www.springer.com/9789491216862

DOI: 10.2991/978-94-91216-86-2_4

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 ().