Sets, Equations, and Polynomials

O. A. Ivanov
Additional contact information
O. A. Ivanov: St. Petersburg State University, Department of Mathematics and Mechanics

Chapter Chapter 5 in Easy as π?, 1999, pp 63-84 from Springer

Abstract: Abstract Problem 1. Sketch the plane sets defined by (i.e., the graphs of) each of the following equations and inequalities: x 2 = 1; x 2 + y 2 = 2y − 1; x 2 + y 2 = 2xy; xy+1 = x+y; x 2+y 2 = 2x; x 2 y+y 3 = 2xy; |x−y| = 1;x 2+xy−2y 2 = 0; y 2≡ |x|; max{|x|, |y|} ≡ 1; |x + y| + |x − y| ≡ 2.

Keywords: Integral Domain; Factor Theorem; Symmetric Polynomial; Positive Degree; Distinct Root (search for similar items in EconPapers)
Date: 1999
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:978-1-4612-0553-1_5

Ordering information: This item can be ordered from
http://www.springer.com/9781461205531

DOI: 10.1007/978-1-4612-0553-1_5

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 ().