Introduction to Computer Algebra

K. O. Geddes, S. R. Czapor and G. Labahn
Additional contact information
K. O. Geddes: University of Waterloo
S. R. Czapor: Laurentian University
G. Labahn: University of Waterloo

Chapter Chapter 1 in Algorithms for Computer Algebra, 1992, pp 1-22 from Springer

Abstract: Abstract The desire to use a computer to perform a mathematical computation symbolically arises naturally whenever a long and tedious sequence of manipulations is required. We have all had the experience of working out a result which required page after page of algebraic manipulation and hours (perhaps days) of our time. This computation might have been to solve a linear system of equations exactly where an approximate numerical solution would not have been appropriate. Or it might have been to work out the indefinite integral of a fairly complicated function for which it was hoped that some transformation would put the integral into one of the forms appearing in a table of integrals. In the latter case, we might have stumbled upon an appropriate transformation or we might have eventually given up without knowing whether or not the integral could be expressed in terms of elementary functions. Or it might have been any one of numerous other problems requiring symbolic manipulation.

Keywords: Chebyshev Polynomial; Computer Algebra; Algebraic Manipulation; Symbolic Computation; Computer Algebra System (search for similar items in EconPapers)
Date: 1992
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:978-0-585-33247-5_1

Ordering information: This item can be ordered from
http://www.springer.com/9780585332475

DOI: 10.1007/978-0-585-33247-5_1

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 ().